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ORNL-41W UC-34 - Phisics

COMPARISON OF CALCULATED RADIOCHEMICAL

CROSS SECTIONS WITH EXPERIMENTAL RESULTS

FOR INCIDENT PROTONS AND IT- MESONS IN

THE 50- TO 400-MeV REGION: EFFECT OF

VARYING A FEW NUCLEAR PARAMETERS

IN THE CALCULATIONS

Hugo W. Bertini

. ,

O A K RIDGE N A T I O N A L LABORATORY operated by

U N I O N CARBIDE CORPORATION for t h e

U.S. ATOMIC ENERGY C O M M I S S I O N - 5 - + ' i

https://ntrs.nasa.gov/search.jsp?R=19680012681 2018-05-24T15:36:11+00:00Z

LEGAL NOTICE

T h i s report w a s prepared o s o n zccount of Government sponsored work. Neither the Uni ted States,

nor the Commission, nor any person ac t i ng on behalf of the Commission:

A. Makes any warranty or representation, expressed or implied, w i th respect t o t he accuracy,

completeness, or usefulness of the information conta ined i n th i s report, or that the use of

any information. opporotvs, method, or process d isc losed in th i s report may not in f r inge

pr ivate ly owned r ights ; or

6. Assumes any l i a b i l i t i e s w i t h respect t o the use of, or for domoges resu l t i ng from the use of

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As used i n the above, “person act ing on behal f o f the Commission” inc ludes ony employee or

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or contractor of the Commission, or employee of such contractor prepares, disseminotes, or

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or h i s employment w i t h such contractor.

~ ~~

ORNL- 41 0 5

Contract No. W-7405-eng-26

NEUTRON PHYSICS DIVISION

COMPARISON OF CALCULATED RADIOCHEMICAL CROSS SECTIONS WITH

EXPERIMENTAL RESULTS FOR INCIDENT PROTONS AND

T- MESONS IN THE 50- TO 400-MeV REGION: EFFECT OF

VARYING A FEW NUCLEAR PARAMETERS IN THE CALCULATIONS

Hugo W. Bertini

APRIL 1968

OAK RIDGE NATIONAL LABORATORY Oak Ridge, Tennessee

operated by UNION CARBIDE CORPORATION

f o r the U.S. ATOMIC ENERGY COMMISSION

iii

CONTENTS

Abstract . . . . . . . . . . . . . . . . . . . . . . . . . . . 1

I . Introduction . . . . . . . . . . . . . . . . . . . . . . . 1

I1 . (p. xpyn) Reactions . . . . . . . . . . . . . . . . . . . . 2

Effect of Nuclear Size and Density Distribution on the (p. pn) Cross Section of a Light Element . . . . . . . . . 11 I11 .

I V . The l 2 C ( s - . s-n)”C Reaction . . . . . . . . . . . . . . . 1 4 V . Energy of Transition from Cascade t o Evaporation . . . . . 16 References . . . . . . . . . . . . . . . . . . . . . . . . . . 21

Appendix . . . . . . . . . . . . . . . . . . . . . . . . . . . 22

References t o Tabulation . . . . . . . . . . . . . . . . . . . 23

COMPARISON OF CALCULATED RADIOCHEMICAL CROSS SECTIONS WITH EXPERIMENTfSL FEXL,TS FOR INCIDENT PROTONS

AND fi-MESONS I N THE 50- TO 400-MeV REGION: EFFECT OF VAHYING A FEN NUCLEAR PARAMETERS

I N THE CALCULATIONS*~**

Hugo W. Bertini

Abstract

Comparisons are made between theoret ical predictions and experimental data f o r several (p ,xpp) reactions in- volving C, Al, Cu, and U and f o r the (fi-,fi-n) reaction i n carbon. Interaction energies range from about 50 t o 400 MeV. The theoret ical model employs the two-step cascade- evaporation mechanism and includes the e f fec t of the diffuse nuclear surface. The comparisons f o r the proton- in i t i a t ed reactions indicate t h a t agreement t o within about 4% cacn be expected when the reaction cross section is about 100 mb, but the values can d i f f e r by factors of 5 or more when the cross section i s about 10 mb. The agreement f o r the (fi-,fi-n) reaction on carbon was f a i r . This reaction can be used for the measurement of the r ea l par t of the optical-model potential, and the method f o r doing so is described. The e f fec ts of the diffuse nuclear surface i n conjunction with changes i n the nuclear radius on the (p,pn) reaction are discussed. Finally, resu l t s are given f o r the dependence of the (p,xpyn) cross sections on the t rans i t ion energy used in the calculation between the cascade and evaporation processes. A tabulation of calculated and experimental cross sections, which includes all those used i n t h i s study, i s attached as an appendix.

I. Introduction

Four aspects re la ted t o the prediction of radiochemical cross sec-

t i ons w i l l be discussed i n this paper. The f i r s t i s the accuracy of the

calculated (p, xpyn) cross sections when the cascade-evaporation model is

employed. The

second is the relationship between the nuclear s ize and density d i s t r i -

but ion t o the predicted (p,pn) cross section i n carbon. The t h i r d i s a

discussion of the 12C(fi-,fi-n)11C reaction i n the 50- t o 300-MeV energy

The energy range considered i s from about 50 t o 400 MeV.

*Research pa r t i a l ly sponsored by the National Aeronautics and Space Administration under Order No. 104(1).

publication. %is report, without the appendix, has been submitted for journal

1

2

region, which includes a comparison with experiment and a possible rami-

f icat ion at t r ibutable t o the energy dependence of t h i s cross section.

The fourth is the e f fec t of the theoret ical t rans i t ion energy between

the cascade and the evaporation on the calculated cross sections.

The two-step cascade-evaporation mechanism i s employed i n the

theoret ical calculation of these cross sections. The de ta i l s are given

elsewhere The most important difference between these calculations

and those undertaken previously2 is t ha t a diffuse nuclear surface i s

included.

modified3 from tha t used i n the previous w0rk.l The pertinent modifi-

cation i s the inclusion of recently published binding energies4 i n the

program.

The evaporation program t h a t w a s used i n t h i s report w a s

11. (p,xpyn) Reactions

The (p,xpyn) reactions tha t were selected t o t e s t the accuracy of

the calculations were those i n which x and y were small, t ha t i s , one

o r so, and those i n which they were re la t ive ly large.

selected span the periodic table.

an energy dependence could be determined.

The ta rge ts

Those reactions were used f o r which

Much of the e a r l i e r experimental cross-section data have been com-

pi led and renormalized by Bruninx . I n some of the figures discussed

below, h i s CERN reports5 are c i ted rather than those of the or ig ina l

workers i n order t o make comparisons w i t h data t h a t are consistently

normalized t o the monitor reaction, 27Al(p, 3 ~ n ) ~ ~ N a .

w a s a wide variation i n the monitor values a t the time the ear ly work

was performed.

The comparison between the experimental data and theore t ica l pre-

dictions are i l l u s t r a t ed i n Figs. 1 through 8. i n Fig. 8 f o r the (p,3p9n) reaction i n uranium i s misleading.

the reactions i n heavy elements resu l t from f i ss ion , which is not taken

into account i n the cdcula t ion .

action cross sections i n t h i s m a s s region can be i n considerable error .

There apparently

The agreement i l l u s t r a t e d

Many of

Therefore, many of the predicted re-

On the basis of Figs. 1 through 8, however, one can say t h a t i n

general the predictions from the calculation w i l l be within about 40%

3

of the measured reaction cross sections when the cross sections them-

selves are about 100 mb, but they may d i f f e r from the measured values

by factors of 5 o r more when the cross sec'lions are about 10 mb or

smaller.

100

90

80

70

60

h

a E - 50 b

40

30

20

10

0

ORNL-DWG 65-41539R3

EXPERIMENT 0 J.B. CUMMING, NUCL. PHYS. 49, 417 (1963) A L. VALENTIN et d., J. PHYS. 25, 704 (1964) A C. BRUN, M. LEFORT, AND X. TARRAGO,

J. PHYS. RADIUM 23, 167 (4962) FROM COMPILATION BY E. BRUNINX, CERN 61-1 (1961

'I V. PARIKH, NUCL. PHYS. 18, 628 (1960)

0 4 00 200 300 400 INCIDENT PROTON ENERGY (MeV)

Fig. 1. Cross Section for the 12C(p,pn)11C Reaction vs Incident Proton Energy.

4

20

18

16

I I I I I

A C. BRUN, M. LEFORT, AND X. TARRAGO,

0 G.V.S. RAYUDU, CAN. J. CHEM.

EXPERIMENT

. \ J. PHYS. RADIUM 23, 167 (4962)

42, 1149 (1964)

PHYS, REV. 418, 1618 (1960)

A\ \ ' A M. HONDA AND L. DEVENDRA, \

\ '

14

12

h a E - 10 b

8

6

4

2

0 0 100 200 300 400

INCIDENT PROTON ENERGY (MeV)

Fig. 2. Cross Section for the l*C(p,3~3n)~Be Reaction vs Incident Proton Energy.

_ . . .

5

O R N L - D W G 6 5 - 1 1 5 3 7 R 3

14

12

40

8

h n E - 6 b

4

2

0

EXPERIMENT 0 J.B. CUMMING, NUCL. PHYS. 49, 417 (4963) * FROM COMPILATION BY EBRUNINX, CERN 64-t (1964) v BRUN, LEFORT, AND TARRAGC,

J. PHYS. RADIUM 23, 467 (4962) A I . LEVENBERG et d., NUCL. PHYS. 51, 673 (1964)

V. PARIKH, NUCL. PHYS. 48, 638 (1960) V. PARIKH, NUCL. PHYS. 48, 646 (1960)

0 4 00 200 300 400 INCIDENT PROTON ENERGY (MeV)

Fig. 3 . Cross Section for the 27Al(p,3pn)24Na Reaction vs Incident Proton Energy.

6

ORNL-DWG 66-3893R2

10

8

- 6 n E v

b 4

2

0

EX PER IM ENT A N.M. HINTZ AND N.F. RAMSEY, PHYS. R E I v V. PARIKH, NUCL. PHYS. 18, 638 (1960) 0 FROM COMPILATION BY E. BRUNINX, CERN 61-4 (1961) 4 J.B.CUMMING eta/ . PHYS. REY 128, 2392 (1962)

88,19 (1952)

CALCULATION I I I

0 50 100 150 200 250 300 350 400 450 INCIDENT PROTON ENERGY (MeV)

Fig. 4. Cross Section f o r the 27Al(p,5p5n)18F Reaction vs Incident Proton Energy.

7

200

180

460

440

420

h

Ll E v 400 b

80

60

4 0

20

0

ORNL-DWG 65-11544R3

EXPERIMENT * H. P. YULE AND A. TURKEVICH, PHYS. REV.

0 FROM COMPILATION BY E. BRUNINX,CERN 61-1 (1961) * L. P. REMSBERG AND J. M. MILLER, PHYS. REV.

118, 1591 (1960)

130, 2069 (1963)

0 100 200 300 400 INCIDENT PROTON ENERGY (MeV)

Fig. 5 . Cross Section f o r the 65Cu(p,pn)64Cu Reaction vs Incident Proton Energy.

. . - .

EXPERIMENT - 0 FROM COMPILATION BY E.BRUNINX, CERN 61-1 (1961 1-

8

40

9

8

7

6

h n E - 5 b

4

3

2

4

0 0

Fig. 6.

400 200 300 400 INCIDENT PROTON ENERGY (MeV)

Cross Section fo r the 65Cu(p, 2 ~ 7 n ) ~ ~ N i Reaction vs Incident Proton Energy.

9

120

100

80

h

-0 E - 60 b

40

20

0 0

Fig. 7.

ORNL-DWG 65-11542R3

100 200 300 400 INCIDENT PROTON ENERGY (MeV)

Cross Section fo r the 238U(p,pn)237U Reaction vs Incident Proton Energy.

10

ORNL-DWG 65-14544R3 5

4

3

h

E b v

2

1

0

EXPERIMENT FROM :OMPILATION BY E.BR

0 400 200

i CALCULATION

I

300 400 INCIDENT PROTON ENERGY (MeV)

Fig. 8. Cross Section for the 238U(p,3p9n)227!I'h Reaction vs Inc i - dent Proton Energy.

. . . .

I

11

111. Effect of Nuclear Size and Density Distribution on the (p,pn) Cross Section of a Light Element

The discrepancies observed6 between experiment and the calculations of Metropolis et al.2 were attributed to the lack of a diffuse nuclear surface in the nuclear model used in the calculations. This effect has been investigated for medium- and heavyweight elements,l and the investigation will now be extended to a lightweight element, carbon.

All but one of the nuclear radii and density distributions that were used are illustrated in Fig. 9, and the results for all of the

distributions are given in Table 1. The small-radius, uniform density

distribution is that employed by Metropolis et al.2

square (rms) radius,, uniform density distribution (not illustrated), with a radius of 3.58 F, has the same rms radius as Hofstadter's curve

illustrated in Fig. 9. The configuration with the medium-radius, nonuniform density distribution best approximates Hofstadter's distribution; that is, it accounts for the diffuse nuclear surface, and it is the one used in all cases where the configuration is not specified. Hence, the

configurations with the medium-radius, nonuniform distribution and rms, uniform distribution have essentially the same rms radius.

The root-mean-

The discrepancies between the results using the small-radius nuclear configurations and experiment are considerably reduced by the use

of the medium-radius, nonuniform configuration. The results from the rms-radius, uniform configuration are significantly smaller than those

using the medium-radius, nonuniform configuration, but not as small as those from the small-radius, uniform configuration.

An examination of the data in Table 1 reveals that the discrepancy can be reduced by simply increasing the size of the nucleus while keeping

the density distribution uniform; therefore, it is difficult to attribute the reduction of the discrepancy solely to the diffuseness of the nuclear

surf ace.

. .

12

0 2 4 ( x d 3 ) NUCLEAR RADIUS (cm) !

- NONUNIFORM DISTRIBUTION UNIFORM DISTRIBUTION HOFSTADTER'S CURVE

-- ----

Fig. 9. Various Nucleon Density Distributions Assumed for the Carbon Nucleus; (a) S m a l l Nuclear Radius, (11) Medium Nuclear Radius, (c) Large Nuclear Radius. - 28, 214 (1956). 1

[For Hofstadter's c m e see Rev. Mod. Phys.

n P E! rn F: 0 .A

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\o to

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14

IV. The 12C(x',fi-n)11C Reaction

The 12C(x-,x-n)11C reaction cross section was c a c d a t e d f o r sev-

e r a l pion energies, and the r e su l t s are compared with experiment i n

Fig. 10.

those f o r the standard configuration i s fair.

provement over the resu l t s using the small-radius configurations.

The general agreement between the experimental results and

There is s ignif icant im-

These d a t a are in te res t ing because it may be possible t o determine

the r ea l part of the optical-model potent ia l by t h e i r use.

is as follows: the shape of the cross-section curve has a peak at an

energy i n the v ic in i ty of the energy of the peak of the free-par t ic le

x+ + p (or K- + n) cross section.

1 2 C (x-, n-n)llC reaction occurs predominantly through the d i rec t in te r -

action of the incident x- with a loosely bound neutron followed by the

subsequent emission of both the pion and the neutron without fur ther

col l is ions.

must escape without fur ther coll isions, because both conditions cause

the excitation energy of the residual nucleus t o be s m a l l .

nucleus must be l e f t with l i t t l e excitation energy a f t e r the pion and

neutron escape; otherwise, it wi l l evaporate a pa r t i c l e and the f i n a l

nucleus w i l l not be l l C .

The reason

This strongly implies that the

The neutron must be loosely bound and the pion and neutron

The residual

Assuming tha t the reaction is dominated by t h i s d i r ec t %nockout"

process, one would expect the reaction t o occur with the greatest proba-

b i l i t y at an interaction energy t h a t corresponds t o the peak i n the

free-particle YI- + n (i.e., n+ + p) cross section (about 190 MeV).

the optical-model potent ia l i s real , negative, and about 25 MeV as

analysis indicates,8 then i n order fo r the interact ion energy t o average

about 190 MeV the incident pa r t i c l e energy must be about 165 MeV, since

the pion w i l l gain energy as it enters the nucleus, where it experiences

the e f fec t of the nuclear forces.

If

The trend i n t h i s direct ion for the calculated data which include

the potential f o r pions i s v i s ib l e i n Fig. 10. The er rors associated

w i t h the experimental data a re too large t o allow the peak i n the cross

section t o be located w i t h suf f ic ien t accuracy t o determine the strength

of the potential. However, other experiments m i g h t be performed with

th i s as a goal which could corroborate the optical-model analysis using

15

I ORNL-DWG 66-3898R

‘2 C (re, r-n)’AC, CALCULATION 12 6c(r,r-n)1$C, EXPERIMENT 6

P.L. REEDER AND . STANDARD NUCLEAR S. S. MARKOWITZ,

8639 (1964)

CON FIG U RAT1 0 N

0 SMALL UNIFORM AND SMALL NONUNIFORM

PHYS. REK 133,

NUCLEAR CONFIGURATION

‘2C 6 (T+, r A / ) t C , CALCULATION 0 USING STANDARD

CONFIGURATION 100

80

h 60 E

b

a v

40

20

0 0 50 100 150 200 250 300 350

INCIDENT r ENERGY (MeV)

Fig. 10. Cross Section f o r the 12C(x-,x-n)11C Reaction vs Incident Pion Energy.

16

a completely different reaction.

experiments from about 10 t o 5% or l e s s should be suff ic ient .

An increase i n the accuracy of the

The calculated cross section for the 12C(n+,nN)11C reaction is

i l l u s t r a t ed i n Fig. 10 also. It is smaller than the calculated

1 2 C ( n',.lc-n)llC reaction by factors t ha t are en t i re ly consistent with

the d i rec t knockout assumption; t ha t i s , the cross sections for these

reactions are reflections of the n-nucleon free-par t ic le cross sections.

Hence, these very detailed cascade-plus-evaporation calculations confirm

the results obtained from the crude method employed by Wilkinson and

shed no l ight on the anomolous experimental behavior of these cross

section^;^ tha t i s , the measurements indicate tha t they have the same

values.

V. Energy of Transition from Cascade t o Evaporation

One of the most a rb i t ra ry decisions tha t must be made i n the cas-

cade-evaporation calculations i s the determination of the t rans i t ion

energy separating the cascade phase from the evaporation.

i s usually taken t o be about the s ize of the Coulomb potent ia l a t the

surface of the nucleus.lr2 However, at these energies the de Broglie

wavelength is about 1 F, the same s i ze as the internucleon distances

within the nucleus, and therefore one i s well beyond the l i m i t s of

va l id i ty of the cascade calculation.

This energy

The results from an investigation of the e f f ec t s of a variation of

t h i s t rans i t ion energy, or cascade cutoff energy, on the radiochemical

cross sections are i l l u s t r a t ed i n Tables 2 through 5 . A s expected, the

calculated (p,pn) cross sections generally decrease with increasing

cutoff energy, but there i s no trend c lear ly v i s ib l e i n the reactions

i n which many par t ic les are emitted.

may be masked by the poor s t a t i s t i c s .

f o r the reactions considered the most consistent agreement i s obtained

using the cutoff energies of 10 MeV or less, t h a t is, about the s ize of

the Coulomb potential .

I n the l a t t e r cases the trends

It i s in te res t ing t o note t h a t

17

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21

References

1. H. W. Bertini , Phys. Rev. 131, 1801 (1963); also Phys. Rev. 138 AB2 (1965). - -7

2. N. Metropolis e t d., Phys. Rev. 110, 185 and 204 (1958). - 3. M i r i a m P. Guthrie and R. G. Alsmiller, Jr., EVAP 11: An Evaporation

Code with Beryllium-8 Breakup and Revised Binding Energies, OHNL-TM- 2070 ( t o be published).

4. J. H. E. Mattauch, W. Thiele, and A. H. Wapstra, Nucl. Phys. 67, 1 (1965).

-

5 . E. Bruninx, High Energy Nuclear Reaction Cross Sections, CERN 61-1 (Jan. 16, 1961); Vol. 11, CERN 62-9 (Feb. 15, 1962).

6.

7. 8.

J. M. Miller and J. Hudis, Ann. Rev. Nucl. Sci. 9, 159 (1959).

H. P. Yule and A. Turkevich, Phys. Rev. 118, 1591 (1960).

D. H. Stork, Phys. Rev. 93, 868 (1954); A. Pevsner e t al., Phys. Rev. 100, 1419 (1955); T F A . F u j i i , Phys. Rev. 113, 695 (1959).

- -

- - 9. D. H. Wilkinson, Comments on Nuclear and Pa r t i c l e Physics, 1, 169

(1967). -

. . . .

22

Appendix

This appendix presents a tabulation of available experimental cross

sections With which the calculations could be compared, as well as the

calculated cross sections themselves. Those data fo r which some de-

pendence could be determined were used as a bas is f o r the conclusions

presented i n the t e x t .

The nmbers given i n parentheses i n column 5 were obtained with a

version of the evaporation code t h a t is d i f fe ren t from t h a t described i n

the t ex t . This version i s described i n ref . 1 below. It d i f f e r s from

the one described i n the t e x t i n t h a t estimated masses (par t icu lar ly f o r

N o r Z 5 10) were used rather than measured masses, and 8Be breakup w a s

not included. The estimated masses compared qui te well with the meas-

ured masses;2 therefore the difference between these versions i s qui te

s m a l l f o r A > 8. All other values i n this c o l m were obtained with

the unmodified ~ e r s i o n . ~

References

1.

2.

3 .

I

Hugo W. Ber t ini , Some Effects of a Modified Evaporation Program on Calculations of Radiochemical Cross Sections and Pa r t i c l e Mult i - p l i c i t i e s f o r Protons on Carbon and Aluminum, ORNL-TM-1549 (Nov. 14, 1966).

R. W . Peelle and P. M. Aebersold, Energy Parameters f o r Light Nu- c l ides i n Monte Carlo Nuclear Evaporation Programs Based on EVAP,

H. W. Bertini , Phys. Rev. - 131, 1801 (1963).

ORNL-TM-1538 (Oct. 17, 1966).

: . .

23

References t o Tabulation

1.

2. 3. 4.

L. Valentin e t al., Phys. Letters 17, 163 (1963). V. Parikh, Nucl. Phys. 18, 646 (1960). J. B. Cumming, Nucl. Phys. 49, 417 (1963). L. Valentin e t aL., J. Phys. 25, 704 (1964).

- - - -

5 . C. M. Brun, M. Lefort, and X. Tarrago, J. Phys. Radium 23 167 -9 (1962).

6.

7. 8. 9. 10. 11. 12. 13. 14. 15.

16. 17. 18. 19. 20. 31- 22.

E. B m i n x , High-Energy Nuclear Reaction Cross-Sections, CEFUI 61-1 (Jan. 16, 1961). V. Parikh, Nucl. Phys. - 18, 638 (1960). M. Honda and D. L a l , Nucl. Phys. 51, 363 (1964). G. V. S. Ray-udu, Can. J. Chem. 42, 1149 (1964). M. Honda and D. L a l , Phys. Rev. 118, 1618 (1960). L. Valentin, Nucl. Phys. - 62, 81 (1965).

G. Albouy e t al., Phys. Letters -9 2 306 (1962). R. Klapisch e t al., J. Phys. - 24, 839 (1963). E. Gradsztajn, J. Phys. Radium 21 761 (1960). M. Ya. Kuznetsova, V. N. Pokrovskii, and V. N. Rybakov, Soviet Phys. JETP (English Transl.) - 15, 1006 (1962). I. Levenberg e t al., Nucl. Phys. - 51, 673 (1964). M. Nguyen-Long-Den and M. Borot, Phys. Let ters 2, 92 (1963). L. P. Remsberg and J. M. Miller, Phys. Rev. 130, 2069 (1963). G. Alboq e t al., J. Phys. Radium - 23, 1000 (1962). M. Gusakow, Ann. Phys. (Par is) - 7, 67 (1962). H. P. Yule and A . 'kxk_evichj P h ~ s = Rev= -' 118- 1591 (1960). D. W. Maurer and E. 0. Wiig, J. Am. Chem. SOC. 84, 4059 (1962).

- - -

-,

-

23. E. Bruninx, High-Energy Nuclear Reaction Cross-Sections. 11, CERN 62-9 (Feb. 15, 1962).

24. 25. 26. 27. B. N. Belyaev, A. V. Kalyamin, and A. N. Murin, Soviet Phys.

28. 29.

W. R. Ware and E. 0. Wiig, Phys. Rev. 122, 1837 (1961). B. M. Foreman, Jr., Phys. Rev. - 132, 1768 (1963). D. L. Morrison and A. A. Caretto, Jr., Phys. Rev. - 127, 1731 (1962).

"Doklady" (English Transl. ) - 6, 784 (1962). J. Muto e t al., Nucl. Phys. - 47, 19 (1963). M. Lefort, Compt. Rend. - 253, 2221 (1961).

-

. _ . .

24

30.

31.

I. Heertzj, L. Delvenne, and A. H. W. Aten, Jr., Physica - 30, 1609 (1964).

P. L. Reeder and S. S. Markowitz, Phys. Rev. - 133, B639 (1964).

25

INC. P ART

P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P

TARGET N UC L E U S

RES I DUAL NUCLEUS

ENERGY ( H E V )

150.0 155.0 350.0 352.0

20.7 21. I 25.0 50.0 50.5

100.0 100.0 150.0 150.0 150.0 200.0 202.0 250.0 252 .0 300.0 302 0 350.0 383.0 400.0 420.0 150.0 155.0 350.0

400.0 420.0 200.0 220.0 100.0 150.0 200.0 208.0

365.0

400.0 340.0 350.0 150.0

25.0 50.0

I O O . 0 150.0 400.0

2 5 * 0 50.0

100.0 150.0 400.0 420.0

155.0

SIGMA ( M a ) c 4L cu L 4 1 E c EXPERIMENT

0.91

0.71

112.0 ( 96.0 1 76.0 ( 70.0 1

52.0 ( 48.0 I

52.0 ( 49.0

48.0 ( 45.0

45.0 ( 44.0 )

41.0 ( 39.0 )

43.0 ( 43.0 )

46.0 ( 43.0 )

1.6 ( 2.2 1

0.77 t 2.5 )

0.31 ( 3.7 1

2.8 ( 1.9 1

4.8 ( 2.9 ) 5.4 ( 2.6 1 4.8 ( 1.4 )

3.56 ( 0.93 ) 3.7 ( 1.6 )

3.9 ( 1-6 1

0.46 ( 0.31 1 2.9

56 -0 37 -0 33 -0 26 -0 27 -0 -- 9-4 12.0 8. I 7.3 6.4

e.e + 0.5

12.0 t 0.48 3e.C t 1.3 32.9 t 1.1

ec.c + 5.0 E6.4 t 2.6

61.C t2.0 43.0 45.c

46.2 t 1.4

38.3

30.3

34.7 36.t t C.7

31.6 + I . C I

31.2 + 2.8

2.6 t 0.3

3.55

3.30

l e e + 0.6 15.c I C . 5

6.8 t I . C 5 IC.3 t 0.7

e.3 9.6 t 0.7

c.7c t c.2c

0.C75 t C - C I 4C.O 22.0 12.0 e.c 5 .6 L3.r: IE.5 17.2 16.3

22.6

R E F

i

2 3 3

1

6

6

B 5 5

9 I O

2 I O

6

1 I I 4 4 4 6 Q 4 4 4

6

26

INC. PART


TARGET NUCLEUS

RES I OUA L NU(: LEUS

ENERGY I MEV 1

150.0 155.0 150.0 155.0 340.0 350.0

25.0 50.0

100.0 150.0 350.0 362.0 400.0 420.0 150.0 155.0 25.0 25.0 50.0

100.0 150.0 150.0 350.0 362 0 400.0 420.0 420.0

25.0 35.0 50.0 51 .o 95.0

100.0 150.0 350.0 362.0

420.0 420.0 150.0 155.0 400.0 420.0

50.0 52.0 100.0 110.0 150.0 200.0 209.0 297.0 300.0

400.0

396.0

150.0 boo. n

S I G M A ( M a ) CALCULATE 0 EXPER I M E N T

0.65

1.5

0.33 128 -0 68 .O

54.90 55 .o 40 -0

48 -0

3.9

0.68

I I .o 5.80 4.60

5.5

3.8

0. I 7

4.6

4.4 2.5 3.4

2.9

0.51

0. I 7

0.68

0.85

0.85 0.34

0.51

0.34 0. I 7

1.6 + C.3

6.5 + 1.C 0.55 t 0.16

2 5 . 0 69.0 59.0 42.C

2c.2 + 2.c2

3c.7

c.9 t 0.1 19.0

3.5 5.c 5.c 4.5

1.0 + 0.41

1e.c

14 .C + 3.5 6.5

2.5 + 0.B

13.C + 0.7 15.2 + C.7

1 1 . 5 + C.5

13.6 + 1.632

31.0 t 7.75 8.4

1.0 + 0.2

6. I

2.0 + 0.5

5.0 + 1.2 3.e + 1.c

4.89 + 1.22 6.54 t 1.63

7.47 + l .@7

REF

I

I 6

12 4 4 4

2

6

I 4

12 r, 4 4

I 2

2

6 6

12

12 12

12

2

6 6

I

6

12

12 12

9 9

9

INC. P A R T


TARGE T N U C L E U S

01 16, 8) O( 161 81 O( 16, 81 O( 16, 8 )

A L ( 27, 13) A L ( 271 131 A L ( 27, 131 A L ( 27, 131 A L ( 27, 13) A L ( 27, 131 A L ( 271 131 A L ( 27, 13) A L ( 27, 13) A L I 27, 131 A L ( 271 13) A L ( 27. 13) A L ( 271 13) A L ( 27, 131 A L I 27, 13) A L ( 27. I 3 1 A L ( 271 131 A L ( 271 131 A L I 27, 131 A L ( 27s 13) A L ( 27, 13) A L ( 27, 131 A L I 271 13) A L I 271 13) A L ( 27, 131 A L ( 271 13) A L ( 271 131 A L ( 27, 13) A L ( 271 13) A L ( 27, 131 A L ( 27, 131 A L ( 271 131 A L I 27, 131 A L ( 27. 131 A L ( 27, 13) A L ( 27, 13) A L ( 27, 131 A L ( 27, 13) A L ( 27, 13) A L ( 27. 131 A L ( 271 13) A L ( 27, 131 A L ( 27, 131 A L ( 27. 13) A L I 271 13) A L ( 27, 131 A L ( 271 131 A L I 27, 131 A L ( 271 13) A L I 27, 13) A L ( 27s 131

R E S 1 D U A L NUC L E US

27

ENERGY ( H E V I

156.0 150.0 155.0 156.0 130.0 150.0 200.0 240.n 250.0 280.0 300.0 320.0 380.0 400.0

25.0 37.4 50.0 50.1 50.6

100.0 150.0 150.0 200.0 200.0 250.0 300.0 300.0

350.0 400.0 150.0 155.0

25.0 29.7 50.0 50. I 50.6

100.0 150.0 335.0 350.0 100.0 200.0 202.0 250.0 259.0 294.0

342 . D 342.0 350.0

410.0 400.0

350.0

300.0

400 0

410.0

CAL CUL ATEC

0.68

0.0 ( 0.0 I 0.0 ( 0.0 I

0.0 ( 0.0 )

0.0 ( 0.0 I

0.0 ( 0.0 ) 0.0 ( 0.0 )

9.5 ( 12.0 1

6.8 ( 9.7 I 3.3 ( 7.8 1

3.5 ( 6.8 1

4.1 ( 8.6 I 3.3 ( 8.2 I

3.9 ( 11.0 I

3.7 ( 9.5 I 28.0 t 41 .o I

0.0 ( 0.0 1

13.0 ( 18.0 I

40.0 ( 45.0 I 23.0 ( 30.0 1

21.0 ( 26.0 I 2.06

I .7 ( 3.9 I

1.4 ( 4.3 I

1.6 I 3.3 1

2.9 ( 5.6 I 2.5 ( 4.9 I

0.2 ( 1.0 1

S I G M A ( M B l EXP ER I H E N l

14.0

12.t + 4.0 9.8 + 1.4

C.C86 + O.CC4

0.081 + .c4c C.CF4 + .c03

C.143 + C.CC7

C.155 + .CC12 0.164 +.Cl6

0.8 + 0.2 1-52

6.1 + 0.2 6.5 + G.2

IC.8 9.2 9.6 9 . I 9.2 9.9 11.0 11.2 11.2

11.1 + c.2 11.3

23.0

2.4 + 0.2

38.4 + 1.c 36.4 + 3.6

21.5 1e.o 13.6

7.c

5.38

5 . E S 6 .18

6.46 6 . 8 + 0.68

7.2 + -72

C.78

R E F

13

IrC 13 15

15 15

15

15 15

3 6 3 3 5 6 5

16 6 6

16 6 6 6

16

17

3

3 3 5 5 b

6

6

. . . _

28

INC. TARGET RES I D U A L ENERGY S I G M A ( M E ) P A R T NUCLEUS NUCLEUS ( MEV I CALCULATE c E X P E R I M E N T

P AL( 2 7 , 1 3 ) C( I l r 6 ) P A L ( 2 7 , 1 3 ) C( I l r 6 ) P A L ( 2 7 1 1 3 ) C ( I l r 6) P A L ( 2 7 , 1 3 ) C ( I l r 6 ) P A L ( 2 7 , 1 3 ) eE( 7 , 4 ) P A L ( 2 7 . 1 3 ) e E ( 7 , 4 ) P C R ( 5 0 , 2 4 ) C R ( 491 2 4 ) P C R ( 5 0 , 2 4 ) C R ( 491 2 4 ) P C R ( 5 2 , 2 4 ) MN( 5 2 , 2 5 ) P C R ( 5 2 , 2 4 ) MN( 5 2 , 2 5 ) P C R ( 5 2 1 2 4 ) MN( 521 2 5 ) P C R ( 5 2 , 2 4 ) MN( 5 2 , 2 5 ) P C R ( 5 2 , 2 4 ) MN( 5 2 , 251 P C R ( 5 2 1 2 4 ) MN( 5 2 , 2 5 ) P C R ( 5 2 . 2 4 ) MN( 5 1 1 2 5 ) P C R ( 529 2 4 ) MN( 5 1 , 2 5 ) P C R ( 5 2 , 2 4 ) MN( 5 1 . 2 5 ) P C R ( 5 2 , 2 4 ) MN( 5 1 1 2 5 ) P C R ( 5 2 1 2 4 ) C R ( 5 1 , 2 4 ) P C R ( 5 2 ; 2 4 ) C R ( 511 2 4 ) P C R ( 5 2 , 2 4 ) C R ( 491 2 4 ) P C R ( 5 2 , 24) C R ( 4 9 , 2 4 ) P C R ( 5 2 , 2 4 ) C R ( 4 9 , 2 4 ) P C R ( 521 2 4 ) C R ( 4 9 , 2 4 ) P F E ( 5 4 1 2 6 ) F E ( 5 3 , 2 6 ) P F E ( 5 4 , 26) F E ( 5 3 1 2 6 ) P F E ( 5 6 1 2 6 ) CO( 5 6 1 2 7 ) P F E ( 5 6 , 2 6 ) C O ( 561 2 7 ) P FE( 5 6 , 2 6 ) CO( 5 6 , 2 7 ) P F E ( 5 6 , 2 6 ) CO( 5 6 , 2 7 ) P F E ( 561 2 6 ) C O I 5 6 , 2 7 ) P F E ( 5 6 , 261 C O ( 5 6 , 2 7 ) P F E ( 5 6 , 2 6 ) CO( 5 6 , 2 7 ) P F f ( 561 2 6 ) CO( 5 6 1 2 7 ) P F E ( 5 6 , 2 6 ) C O ( 5 6 , 2 7 ) P F E ( 5 6 , 2 6 ) C O ( 5 5 1 2 7 ) P F k ( 5 6 , 2 6 ) C O ( 551 2 7 ) P F E ( 56s 26) CO( 551 2 7 ) P F E ( 561 2 6 ) CO( 5 5 , 2 7 ) P F € ( 561 2 6 ) C O ( 5 5 , 2 7 ) P F E ( 5 6 , 2 6 ) CO( 551 2 7 ) P F E ( 5 6 , 26) CO( 5 5 , 2 7 ) P F E ( 561 2 6 ) C O ( 5 5 1 2 7 ) P F E I 5 6 , 2 6 ) F E ( 5 5 , 2 6 ) P F € ( 5 6 , 2 6 ) F E ( 5 5 1 2 6 ) P F E ( 561 2 6 ) F E ( 5 5 1 2 6 ) P F E ( 56s 2 6 ) F E ( 5 5 , 2 6 ) P F E ( 5 6 , 2 6 ) F E ( 551 2 6 ) P FE( 5 6 , 2 6 ) F E ( 531 261 P F E ( 5 6 , 2 6 ) F E ( 531 2 6 ) P F E ( 5 6 , 2 6 ) F E I 539 2 6 ) P F E ( 5 6 , 2 6 ) F E ( 5 2 , 2 6 ) P F E ( 5 6 1 2 6 ) F E I 5 2 , 2 6 ) P F E ( 5 6 , 26) F E ( 5 2 1 2 6 ) P F E ( 5 6 , 2 6 ) F E I 5 2 1 2 6 )

3 3 5 . 0

400.0 3 5 0 . 0

410.0 3 3 5 . 0 3 5 0 . 0 3 5 0 . 0 3 7 0 . 0 150.0

3 5 0 . 0 3 7 0 . 0 3 7 0 . 0

3 5 0 . 0

1 5 5 . 0

3 7 0 . 0

370 .0 3 7 0 . 0 3 7 0 . 0 3 5 0 . 0 3 7 0 . 0 3 5 0 . 0 3 7 0 . 0 3 7 0 . 0 3 7 0 . 0 400.0 400.0 100.0 150.0 200.0 3 4 0 . 0 3 7 0 . 0 3 7 0 . 0 3 7 0 . 0 3 7 0 . 0 400. 0 100.0 1 5 0 . 0 200.0 3 7 0 . 0 3 7 0 . 0 370 .0 3 7 0 . 0 400.0 100.0 150.0 2 0 0 . 0 3 7 0 . 0 400.0 100.0 150.0 2 0 0 . 0 100.0 150.0 2 0 0 . 0 3 4 0 - 0

0.0 ( 0.0 0.4

0.0 ( 0.0 13.0

20 .o

9 . 3

3.32

60.47

12.63

5 . t4

19.18

9.59

6.51 8.91

5 . I 4

3.77 111.67

9 5 . 5 7

7 8 . I O I I .99

8.56 2.40

1 - 3 7

2 . I

3.c 1.6

48 .2 4 2 . 9

3 .9 t 0.6

I .43 1 - 9 6

1.45 + 0.1C

C.86 c.ec

0 .83 + 0.07

59 .2 t 4 . 5

5.6 6.2

5 .9 t 0.6 4e.O 45 .0

1.6 4 0.3

c.24 .91 .95 .9c

.92 + 0.06

1.7 t 0.4

C . 7 6 c .79 t - 7 6

.77 4 0.C8

I 1 C . C t 1c.c

63.9 + 3.8

3C.t + 2 .c

5.2 t 1 . 4

C.68

REF

6

6 6

I,

6 18 18 I 8 18

4

18 18 18 i e

4

i e

4

4

6

29

INC. TARGE T RE 5 I D U A L ENERGY P A R T N U C L E U S NUCLEUS ( M E V )

P FE( 56, 26) F E ( 52 , 2 6 ) P F E ( 56, 2 6 ) MN( 5 6 , 25) P F E ( 5 6 , 26) MN( 5 6 , 251 P F E ( 56, 2 6 ) MN( 5 6 , 2 5 ) P FE( 5 6 , 26) MN( 5 6 , 2 5 ) P F E ( 5 6 . 26) MN( 5 6 , 25) P F E ( 5 6 , 261 MN( 54, 25 ) P F E ( 5 6 , 2 6 ) MN( 549 25) P F E ( 5 6 , 2 6 ) MN( 54, 25) P FE1 56. 2 6 ) MN( 549 251 P F E ( 56, 2 6 ) MN( 54, 25) P F E ( 5 6 , 26) MN( 52 , 25) P F E ( 5 6 , 2 6 ) MN( 52, 2 5 ) P F E ( 5 6 , 26) MN( 52, 251 P F E ( 5 6 , 2 6 ) MN( 52, 2 5 ) P F E ( 5 6 , 2 6 ) MN( 5 2 , 25) P F E ( 5 6 , 26) MN( 51 , 25 ) P FE( 56. 26) MN( 5 1 s 25 ) P F E ( 5 6 , 26) MN( 5 1 s 251 P F E ( 5 6 , 2 6 ) MN( 51 , 25 ) P F E ( 5 6 , 26) MN( 51 , 25 ) P F E ( 5 6 . 2 6 ) C R ( 51 , 24) P F E ( 56. 261 C R ( 51, 24) P F E ( 5 6 , 26) C R ( 5 1 , 24) P F E ( 56, 2 6 ) C R ( 5 1 , 24) P F E ( 5 6 , 26) C R ( S I , 24) P F E ( 5 6 , 2 6 ) C R ( 49, 24) P F E ( 5 6 , 2 6 ) C R ( 49, 24) P F E ( 56, 26) C R ( 491 24) P F E ( 5 6 , 2 6 ) C R ( 491 24) P F E ( 5 6 , 26) C R ( 49, 24) P F E ( 5 6 , 26) C R ( 48, 24) P F E ( 5 6 , 26) C R ( 489 24) P F E ( 5 6 , 2 6 ) C R ( 489 24) P F E ( 56, 2 6 ) C R ( 48, 24) P F E ( 5 6 , 26) C R ( 48, 24) P F E ( 5 6 . 2 6 ) V ( 491 23) P F E ( 56 . 2 6 ) V ( 499 23) P F E ( 5 6 , 26) V ( 49, 23) P F E ( 5 6 , 2 6 ) V ( 499 23) P F E ( 5 6 , 2 6 ) V ( 491 23) P F E ( 5 6 , 2 6 ) V ( 481 23) P F E ( 5 6 , 26) V ( 481 23) P F E ( 5 6 , 2 6 ) V ( 48, 23) P F E ( 5 6 , 26) V ( 48, 23) P F E ( 5 6 , 261 V ( 48, 231 P F E ( 5 6 , 26) V ( 471 23) P F E ( 5 6 , 261 V ( 471 23) P F E ( 5 6 , 2 6 ) V ( 471 23) P F E ( 5 6 , 26) V ( 479 23) P F t t 5 6 , 261 V I 471 23) P F E ( 5 6 , 26) T I ( 45, 22) P F E ( 5 6 , 2 6 ) TI( 45, 22) P F E ( 569 26) T I ( 45, 2 2 ) P F E ( 56. 26) T I ( 459 22)

400.0 100.0 150.0 200.0 340.0 COO. 0 100.0 ( 5 0 . 0 200.0 340.0 400.0 I O O . 0 150.0 200 . 0 340.0 400.0 100.0 150.0 200.0 340.0 400.0 100.0 150.0 200.0 340.0 400.0 100.0 150.0 200.0 340.0 400.0 100.0 150.0 200.0 340.0 400.0 100.0 150.0 200.0 340.0 400.0 100.0 150.0 200.0 340. 0 400.0 100.0 150.0 200.0 340.0 400.0 100.0 150.0 200.0 340.0

S I G M A ( M E ) C AL CU L AT E 0 E X P E R I M E N T

0.0 0.0

0.0

0.0 43.50

44. I9

41 .45 72.28

46.93

31. I7 24.32

14-04

7.88 79.81

46.24

39.39 6.85

11.65

10.96 0.0

0 .o

0.34 15.07

22.95

28.43 I 1-30

25.35

36.99 2.06

8.56

8.22 0.0

6.85

G.7 + 0.2

0.59

36.0 + 16.C

12.0

4.c + 3.c

12.9

.e + 1.2

4.c

63.C + 19.C

41 .C

c .5 + 0.1

c.ec

33.c + 5.c

31 -0

15.C + 2.C

IC.3

5.9 +

2.4

4.5 +

3 .1

.F

.c

REF

4

6

4

6

4

6

4

6

4

6

4

6

4

6

4

6

4

6

4

6

4

6

. .

30

SIGMA ( M B I CALCULATED EXPERIMENT

R E F INC. P A R T


TARGET NUCLEUS

RE SI DUA L NUCLEUS

ENERGY REV I

T I ( 459 221 SC1 98, 211 S C ( 48, 211 S C ( 471 211 S C ( 4 7 , 211 S C I 4 7 , 211 S C ( 4 7 , 211 S C ( 4 7 , 211 S C ( 46, 2 1 ) S C ( 46, 211 S C ( 46, 211 S C ( 46, 211 SC( 46, 211 S C ( 44, 2 1 1 S C ( 44, 211 SC( 44, 211 S C ( 44, 211 S C ( 44, 211 S C ( 43, 2 1 1 S C t 43, 211 S C ( 43, 211 S C ( , 211 S C ( 43, 211 C A ( 47, 201 C A ( 4 7 , 2 0 ) C A ( 47, 20) C A ( 47, 201 C A ( 4 7 , 201

C A ( 459 201 C A ( 459 201 C A ( 45, 201 C A ( 4 5 , 201

K ( 43, I91

K ( 43, I91 K ( 439 I91

K ( 4 2 , I91 K ( 4 2 , 19) K ( 4 2 , I91 K ( C2r I91 K ( 42, 19)

C L ( 391 1 7 ) C L ( 39, I71 C L ( 39, I7 C L ( 39, 17 C L ( 399 17 C L ( 389 17 C L ( 38, I 7 C L ( 349 I7 C L ( 34, I7 C L ( 34, 17 C L ( 34, I7 C L ( 341 I7

C A ( 45, 201

K ( 43, 191

K ( 53, I91

400.0 340.0 400.0 100.0 I S O . 0 200.0 340.0 400.0 100.0 150.0 200.0 340.0 400.0 100.0 150.0 200.0 340.0 400.0 100.0 150.0 200.0 340.0 400.0 100.0 150.0 200.0 340.0 400.0 100.0 150.0 200.0 340.0 500.0 100.0 150.0 200.0 340.0 500.0 100.0 150.0 200.0 340.0 500.0 100.0 150.0 200.0 340.0 500.0 340.0 400.0 100.0 150.0 200.0 340.0 500.0

5 . I4

0.0 0.0

1.37

2.40 0.34

4.80

5.82 0.0

9.59

12.33 0.0

4.45

7.54 0 .o

0.0

0 .o 0 .o

0.0

0.69 0.0

0.0

0.69 0.0

0.34

1.03 0.0

0.0

0.0

0.34 0.0

0 .o

0.69

FE( 5 6 , 261 FE( 5 6 , 261 FE( 5 6 , 2 6 ) FEt 5 6 , 261 FE( 5 6 , 261 F E ( 5 6 , 2 6 ) FE( 56, 261 FE( 5 6 , 2 6 ) FE( 5 6 , 261 FE( 5 6 , 2 6 ) FE( 5 6 , 2 6 ) FE( 5 6 , 2 6 ) FE( 5 6 , 261 FE( 5 6 , 261 FE( 5 6 , 261 FE( 5 6 , 2 6 ) FE( 5 6 , 261 FE( 5 6 , 261 FE( 56 , 261 F k ( 5 6 , 2 6 ) FE( 56 , 261 FE( 5 6 , 261 FEt 56. 261 FE( 5 6 , 261 FEl 5 6 , 2 6 ) FE( 5 6 , 261 FEI 5 6 , 261 FE( 56 , 261 FE( 5 6 , 261 FE( 5 6 , 2 6 ) FE( 5 6 , 261 FE( 5 6 , 261 FE( 5 6 , 261 FE( 5 6 , 261 FE( 5 6 , 261 FE( 5 6 , 261 FE( 5 6 , 261 FEt 5 6 , 2 6 ) FE( 5 6 , 261 FEt 5 6 , 2 6 1 FE( 5 6 , 2 6 1 F E ( 56 , 2 6 ) FE( 5 6 , 261 FE( 56 , 261 FE( 5 6 , 2 6 ) F E ( 5 6 , 2 6 FE( 5 6 , 2 6 FE( 56, 2 6 FE( 5 6 , 2 6 FE( 5 6 , 2 6 FE( 5 6 , 2 6 FE( 5 6 , 2 6 FE( 5 6 , 2 6 FE( 5 6 , 2 6 FE( 56 , 2 6

0.45 6

c.7 t c.2

C.84

4

6

3.0 t 0.6

3.20

4

6

5.9 t c.4

2.60

4

6

2.5 t 0.2

2.c

4

6

C.007 + 0.C02

O.CC7

4

6

0.36 t C.C6

C.56

4

6

0.11 + 0.C4

c .4

4

6

0.25 + CaC5

c .7

4

6

0 .024 t .CCe

0.045

C.17

0.11 t C.03

C.II

4

6

31

INC. PART


TARGE T NUCLEUS

F E ( 5 6 , 2 6 ) F E ( 5 6 , 261 F E ( 5 6 , 2 6 ) F E I 5 6 , 2 6 ) F E I 5 6 , 2 6 ) F E I 5 6 , 261 F E ( 5 6 , 2 6 ) F E ( 5 6 , 2 6 ) F E ( 5 6 , 26) F E ( 5 6 , 2 6 ) F E ( 5 6 , 2 6 ) F E ( 5 6 , 2 6 ) F E ( 5 6 , 2 6 ) F E ( 56. 2 6 ) F E ( 5 6 , 2 6 ) F E I 5 6 , 2 6 ) F E ( 56s 2 6 ) F E ( 5 6 , 2 6 ) F E I 5 6 , 2 6 ) FE( 5 6 , 2 6 ) F E I 5 6 s 2 6 ) F E ( 5 6 , 2 6 ) F E ( 567 2 6 ) F E I 5 6 , 2 6 ) F E ( 5 6 , 2 6 ) F E ( 5 6 , 2 6 ) F E I 5 6 , 2 6 ) FEI 5 6 , 2 6 ) F E I 5 6 , 2 6 ) F E I 5 6 , 2 6 ) F E ( 5 6 , 2 6 ) F E I 5 6 , 2 6 ) F E ( 5 6 , 2 6 ) F E I 5 6 , 2 6 ) F E I 5 6 , 2 6 ) F E ( 5 6 , 2 6 ) F E ( 5 6 , 2 6 ) F E ( 5 6 , 2 6 ) F E I 5 6 , 261 F E I 5 6 , 2 6 ) C U I 6 5 , 2 9 ) C U I 6 5 , 2 9 ) C U ( 6 5 , 2 9 ) C U ( 6 5 , 2 9 ) C U ( 6 5 , 2 9 ) C U ( 6 5 , 2 9 ) C U ( 6 5 , 2 9 ) C U I 6 5 , 291 C U ( 6 5 , 2 9 )

C U I 6 5 , 2 9 ) C U ( 6 5 , 2 9 ) C U ( 6 5 , 2 9 )

C U I 6 5 , 2 9 )

C U ( 6 5 , 2 9 )

C U ( 6 5 , 2 9 )

RE SI D U A L N l K L E U S

F ( F l F l C ( C ( C (

B E I BE I BE

S I ( 3 1 , S I 1 3 1 , S I ( 3 1 , S I 1 3 1 , S I ( 3 1 , M G ( 2 8 . MG( 28, MG( 2 8 , N A ( 2 4 , N A ( 2 4 , N A I 2 4 , N A I 2 4 , N A ( 2 4 , N A I 2 2 . N A I 221 N A ( 22 . N A ( 2 2 , N A ( 2 2 ,

81 8 , 8 , I1

I t I , 7 , 7 , 7 .

Z N ( 65; 3 d i Z N ( 6 5 1 3 0 ) Z N I 6 5 , 3 0 ) Z N ( 6 5 , 3 0 )

C U ( 6 4 1 2 9 ) C U I 6 4 , 2 9 ) C U ( 6 4 , 2 9 ) C U ( 6 4 , 2 9 ) C U I 649 2 9 ) C U I 649 2 9 ) C u t 64, 2 9 ) C U ( 64s 2 9 ) C U I 6 4 1 2 9 ) C U I 64 , 2 9 )

Z N ( 6 5 , 30)

ENERGY ( MEV )

100.0 150.0 200.0 340 .0 400.0 100.0 150.0 200.0 100.0 150.0 200.0 340.0 400.0 100.0 150.0 200.0 340.0 400.0 100.0 150.0 200.0 I O D . 0 150.0 200.0 340.0 400.0 100.0 150.0 200.0 340.0 400.0 100.0 150.0 200.0 100.0 150.0 200.0 100.0 150.0 200.0

45.0 50.0

100.0 143.0 150.0

90.0 100.0 110.0 I3C.O 150.0 168.0 196.0 200.0 250.0 263.0

S I G M A I M B ) CALCULATE 0 E X P E R I M E N T

0.0

0.0

0.34 o .a

0.0 0.0

0.0

0.0 0.0

0.0

0.0 0.0

0.0 0.0

0.0

0.0 0.0

0.0

0.0 0.0

0.0 0.0

0.0 0 .o

0.0

38.28 17.50

15.7

97.69

93.32

79.83 0.0

o. ie + C.CF

C.23

C.065 + 0.C32

C.2 + 0.1

0. c44

C.026 + 0.C13

c.12

C.005 + 0.CCI

0.03 t 0.01

c.c2

0.04 + o.ci

0.23 + 0.C3

41.C t 6.C

17.C + 3.C 14.C t 2.C

126.C + 32.C

93.6 + 3.7 74.6 + 2.9

65.e t 2.6 64.3 t 2.5

55.c t 2.1

R E F

4

6

4

4

6

4

6

4

4

6

4

6

4

4

4

i9

19 19

20

21 21

21 21

21

INC. PART


TARGET NUCLEUS

RES I DUA L NUCLEUS

32

ENERGY (HEV 1

280.0 300.0 330.0 350.0 370.0 400.0 400.0 100.0 200.0 250.0 300.0 350.0 400.0 100.0 200.0 200.0 250.0 250.0 300.0 300.0 350.0 400.0 400.0

50.0 60 .0 6 0 . 0 60.0

100.0 120.0 120.0 120.0

50.0 80.0 80.0 80.0 50.0 60.0 00.0 20.0 50.0 80.0 80.0 00.0 80.0 00.0 80.0 00.0 80.0 00.0 80.0 00.0 80.0 00.0 50.0 60.0

SIGMA [ M e ) C AL CU L AT E C EXP ER I H E N l

64 -89

67.07

66.71

0 .o 0.0 0 .o 0 .o 0.0 0.0 2.55 6.93

5.83

2.92

4.37 4.74

120.89

88.31

80.46

10.99

17.66

24.73

102.86

70.40

73.53

79.39

179.52

69.0

55.9 + 2.2

58.6 + 3.3 73.2: + 7.3 67.C + 6.7

C.CC6 @.CC9 c.c2 I 0.c32 0.056 @.Cf8 1.3 I .9 I .e

I .5 1.5 I . 3 1.4 I .4 I e 4

59.c + 4.c 66.C + 2.0

125.C + 4.C

55.c + 4.c 7c.c + 5.0

126.C + 6.0

33.c + 3.c 43.c + 2.0 76.C + 4.0

9.9 + 0.5

7.2 + 0.4

I .4

12.3 + 0.6

26.C + 26.C

CC.C + 26.C

5o.c + 7.c

44.c + 1 I . C

IC5.C + 16.C 9.39

123.49 8.9 + 3.6

114.c + 12.c

REF

6

21

18 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6

22 22 22

22 22 22

22 22 22

22

22

22

23

23

23

23

23

23

24

33

INC. PART


TARGET NUCLEUS

C E ( C E ( CE( CE( CE( CE( CE( CE(

42r 5 8 ) 421 58) 429 58) 429 58) 421 58) 42, 5 8 ) 429 5 8 ) 42, 58)

RES I DUAL NUCLEUS

CE(141 r 58) C E ( 1 4 l r 58) C E ( l 4 l r 581 C E ( I 4 I r 581 CE CE CE CE LA LA LA LA LA LA LA LA LA LA

1 4 1 1 58) I 4 l t 581 1 4 1 . 59) I 4 l r 58) 1419 571 141 r 5 7 ) I 4 l r 5 7 ) 1411 57) I 4 l r 571 1419 57) 141r 57) 1419 57) l 4 l r 571 141 r 571

TA(185r 731 TA( l85 r 73) TA(185r 73) TA(185r 731 TA(185r 73 ) TA(185r 731 HF(184r 72) HF(184r 72) HF(184r 72) HF(1841 721 HF(184r 72) B I ( 2 0 5 r 83) B I ( 2 0 5 r 831 B I ( 2 0 3 r 83) B I ( 2 0 3 r 83) 81 (202, 83) B I (202 . 83) B I ( 2 O l r 83) B I (201 . 83) 81 (200. 83) B I ( 2 0 0 r 83) G A ( 739 31 G A ( 739 31 G A ( 729 31 G A ( 72, 31 G A ( 67. 31 G A ( 679 31

P ( 329 1 5 P ( 329 I S

M G I 289 12 M G I 281 12) NA( 2 k 1 I I ) NA( 24s I I ) PO(209. 84) P O ( 2 0 9 ~ 84) PO(2081 84) PO(208r 84)

ENERGY ( MEV 1

100.0 120.0 200.0 233.0 250.0 350.0 370.0 400.0

50.0 60.0 100.0 120.0 200.0 233.0 250.0 350.0 370.0 400.0 130.0 150.0 200.0 210.0 300.0 400.0 130.0 150.0 200.0 210.0 coo.0

50.0 52.5 50.0 52.5 50.0

50.0

50.0 63.8

390.0 400.0 390.0 400.0 390.0 400.0

400. 0 390.0 400.0 390.0 400.0

52.5

52.5

390.0

135.0 155.0 135.0 155.0

CAL CULATEO

100.70

90.98

91.33 68. I 5

81.10 9.41

16-91

27.60

32.03 41 -57

36.80

21 - 4 8 27.87

19.74 39.48

0.58 1-55

3.48 73.27

171 -09

582.45

410.54

0 .o

0 .o 0.0

0 .o

0.0

0 -0

0.0

18.50

28.37

S I G M A ( M E ) EXPERIMENT

9E.2 + 17.C 60.9 + 3.4 65.5 + 3.e

79.c + 7.9 €6.2 + 1.6

9.2 + 2.0

I I . € + 4.c 15.5 + 6.0 19.6 + 7.C

2C.C + 2.3 54.4 + 4.6

2.90 + 0.48

5.55 5.48

6.93 + 1.74 6.243 + 0.C33

0.144 + 0.CCI

150.C + 22.5

47C.C + 7C.5

590.c + 88.5

260.0 + 39.t

lt3O.C + 27.t

C.316 + 0.C65

1.2 + C.36

0.56 + 0.168

C.Cl3 + C.CC39

G.01 + Ci.CC3

C . C C l + c. tcc3

0.c3 + C.CCF

2c.c + 5.E

37.t + 7.t

REF

2 4 24 24

25 23

24

24 24 24

25 23 26

26 26 26 26

26 26

23

23

23

23

23 23

23

23

23

23

23

2 7

2 7

. . .

34

INC. PART


TARGET NUCLEUS

R E S 1 DUAL NUCLEUS

PO(2071 841 PO(207r 84) PO(206, 841 PO(206, 84)

PO(206, 8 4 ) PO(206r 84) PO(205r 840 PO(205r 84) PO(2051 84) PO(205r 84) PO(205. 84) POt205, 84) PO(205, 64) PO(2051 84) PO(205r 84) PO(204r 84) PO(204, 84) PO(204, 84) PO(204, 84) PO(204, 84) PO(204, 84) PO(204, 84) PO(204, 8 4 ) PO(204, 64) PO(204, 84) PO(204r 841 PO(203r 8 4 ) PO(203r 841 PO(203r 8 4 ) PO(203r 84) PO(2031 84) PO(2031 84) PO(203, 84 ) PO(203, 84) PO(203, 84) PO(203r 84) PO(203, 841 PO(203r 84) PO(203r 84) PO(202r 64) PO(202, 84) PO(2021 84) P01202, 84) PO(202, 84) PO(201r 64) PO(201, 84) PO(201, 841 PO(2011 84) PO(2OOv 841 PO(2001 84) PO(200, 641 PO(200, 84) E I ( 2 0 7 r 83 ) 81 (201, 8 3 )

PO(2b6, 84)

ENERGY ( H E V t

50.0 50.4

135.0 155.0 380.0 400.0 412.0 50.0 50.4 59.7 65.0

135.0 155.0 380.0 400.0 412.0

50.4 65.0 66.3 74.9 17.0

135.0 155.0 380.0 400.0 412.0

59.7 65.0 66.3 14.9 77.0 79.9 83.7 90.0

135.0 155.0

400.0 412.0 135.0 155.0 380.0 400.0 412.0 135.0 155.0

50.0

380.0

380.0 400 0 135.0 155.0 380.0 400.0 380.0 400.0

S I G M A ( M E ) CAL CUL A T E C EXPER IHENT

REF

104.24

26.52

9.65

770.38

131.38

33.92

I1 - 5 8

210.33

383.03

148.65

25.91

8.36

377.46

270.16

84.50

33.92

13.51

30.22

9.65

28.37

7 - 7 2

38.86

5.19

45.02

8G.C t 12.@ 59.C + 6.@

7.7 t 5.6

2.c

e0c.c t 12c.c 450.C t 67.5C

72.5 t 1.5

12.9 t 9.4

c.4

210.0 t 31.5C

47C.O t 7C.5t 45C.O t 61.5C

71.5 + 3.5

8.9 t 6.5

I .6 9C.O t 13.5

39C.O t 58.5C 49C.O + 73.5[:

39c.c t 58.5 36C.C t 54.C

69.5 t 5.5

12.5 t 9.1

c.39 71.C t 5.1:

5.2 t 3.0

C.78 8C.C t 8.C

13.3 t 9.7

9c.c t 4.0

I 0 . C t 7.3

15.7 t 3.6

2 3 2 7

2 3

2 3

2 3 23

27

23

23

23

2 3 23

27

2 3

23 2 3

23 23

23 2 3

2 7

23

23 27

23

23 27

23

27

2 3

23

35

INC. P A R T


TARGET NUCLEUS

8 1 8 1 B I 6 1 6 1 8 1 B I 8 1 8 1 8 1 B I 8 1 8 1 8 1 B I B I 8 1 8 1 8 1 B I B I B I 8 1 8 1 8 1 B I B I 8 1 8 1 B I B I B I B I B I B I B I B I B I 8 1 B I B I B I 8 1 81 B I B I B I B I B I

2C9r 83)

2C9, 831 2C9r 83) 2C9r 83) 2C9r 831 2C9r 83) 2C9r 83) 2C9, 83) 2C9r 83) 2C9, 83) 2C9r 83) 2C9, 83 ) 2C9, 83) 2C9, 83) 2C9r 83) 2C9r 83) 2C9, 83) 2C91 83) 2C91 83) 2C91 83) 2C91 83) 2C91 83) 2C9r 83) 2C9, 83) 2C9r 83) 2C9, 83) 2C9r 83) 2C9r 83) 2C9r 831 2091 83) 2C9r 83) 2C9, 831

2C91 83) 2C9, 83) 2C91 83 ) 2C9, 83) 2C9r 83) 209. 83) 209. 83) 2C9, 83) 2C9, 83) 2C9r 83) 2C9, 83) 2C9, 83) 2C9, 83) 2C9r 83) 2C9, 83)

2C9, 83)

2C9, 83)

RE SI DUAL NUCLEUS

ENERGY ( MEV )

412.0 380.0 400.0 412.0 380.0 400.0 412.0 380.0

412.0 380.0 400.0 412.0 380.0 400.0 412.0 380.0

380.0 400.0 380.0 400.0 380.0

400.0

400.0

400.0 400.0 c 1 2 . 0

50.0 56.0

380.0 400.0 412.0 380.0 400.0

400.0 380.0

412.0 380.0 coo. 0 380.0 400.0 380.0 400.0 400. 0 412.0 380.0 400.0 b12.0 380.0 400.0

380.0 400.0

360.0 400.0

412.0

412.0

S I G M A ( M e ) CALCULATEC EXPERIMENT

35.38

34.09

34.73

30.23

30.87

28.94

29.59

2t.0 49.3 + 5.9

16.0 5c.c + 7.c

3.C 37.1 + 3.2

15.0 47.6 + 7.6

0.2 55.8 + 9.4

18.0 49.6 + 4.4

64.4

69.6 27 0 66

25.73 0.0

10.49

12.22

14.15

22.51

22.51

18.65

31 -52 0.64

5.79

4.50

2.57

2.57

6C. I

9.8

2r.c + 1.0 l 4 .C + 2.7

6.6 29.5 + 6.6

7.5 + 5.c

13.7 5.6

26.9

12.5

1.6 5.42 + 5.9

c.33 15.1 + 3.4

2.c 13.5 + 0.8

I .c 2.52 + 1.37

REF

23 2 3

2 3 23

23 23

2 3 23

23 2 3

23 23

2 3

23

23

23

28 23

23 23

2 3

23 23

2 3

23

23 23

23 23

2 3 23

23 23

. . .

36

INC. PART


TARGE 7 NUCLEUS

B I 8 1 8 1 8 1 8 1 8 1 8 1 8 1 8 1 8 1 8 1 8 1 8 1 B I

RE 5 I DUA L N U : LEUS

TL 1 TL ( TL ( TL ( TL ( HG ( HG ( HG ( HG ( HG ( HG ( HG ( HG HG ( HG ( HG (

ENERGY ( MEV 1

380.0 400.0 380.0 400.0 380.0 b00.0 380.0 400.0 380.0 400.0 380.0 400.0 380.0 400.0

400.0 380.0 400.0

380.0

380. 0 400.0 380.0 400.0 380.0 400.0 380.0 400.0 380.0 400.0 380.0 400.0 380.0 400.0 380.0 400.0

400.0 380.0 400.0 380.0 400. 0

75.0 77.0

155.0 184.0 303.0 400.0

75.0 77.0

77.0 90.0

120.0 155.0 184.0 373.0

380.0

75.0

S I G M A t M 8 1 C AL CU L AT E D EXPERIMENT

4.50

10.93

6.43

1-29

1-29

0.0

3.22

5. I S

5.15

7.72

9.00

.64

0.0

0.0

.64

1-29

.64

0 .o

0.0

.64

0.0 0.0

0 .o

0 .o

0.0 0.0

0.0

25.8 t 3.2

62.5 + 18.4

62.3 + 15.2

4.65 i 2.83

3.89 t 1-87

0 . 5 )

7.c

22.0

21.9

39.8

I .c5

0.46 t 0.07

1.30 + 0.17

0.6 t 0.6

14.2 + 1.3

17.0

7.0

16.8

2C.8

20. I

6.0023 t O.COC69

c.cc27 t O.COO81 0.012 t O.CO36

0.0028 t C.OCOG84

C.CC06 t O . C O t l 8

O.C@C@2 t O.OOC246

C.OC26 t O.CCC78 0.012 t O.CC36

REF

23

23

23

23

23

23

23

23

23

23

23

23

23

23

23

23

23

23

23

23

23

23 23

23

23

23

23 23

. . .

37

INC. PART


T A R G E T NUCLEUS

RES1 DUAL NUCLEUS

E N E R G Y ( MEV 1

COO. 0 75.0 77.0 90.0

120.0 155.0

373.0 400.0

75.0 77.0 90.0

120.0 155.0

373.0 400.0

77.0 90.0

120.0 155.0

373.0 400.0

iac.0

1ac.o

75.0

ia4 .0

75.0 77.0 90.0

120.0 155.0

373.0 400.0

75.0 77.0

I 84.0

155.0 192.0 75.0 77.0 90.0

120.0 155.0 184.0 373.0 400. 0

75.0 77.0 55.0 92.0 75.0 57.0 90.0 20.0 55.0 84.0

SIGMA I M B ) REF EXP E R I MEN 1 C AL CU L A T E C

0 .o

0.0 0.0

0.0

I ( 1 3 2 r 53) I ( I 3 0 1 531 I ( l 3 0 r 531 I ( l 3 0 r 531 I ( 1 3 0 r 531 I ( l 3 0 . 531 I ( 1 3 0 r 53) 11130. 53) I (13Or 531 1 ( 1 2 a r 531 1 ( 1 2 a r 531 1(12a , 531

~ ( i z a , 531 1(12a1 53) 1(12a . 531

I (1289 531

I ( 1 2 8 r 531 If1269 531 I t1261 531 I ( 1 2 6 r 531 I ( 1 2 6 r 531 I ( 1 2 6 r 53) I ( 1 2 6 r 531 I ( 1 2 6 r 531 I t 1 2 6 1 531 I (124r 531 I ( 1 2 4 r 531 I ( 1 2 4 , 531 I ( 1 2 4 , 531 I ( 1 2 4 , 531 I t1249 531 I ( I 2 C r 531 I ( 1 2 4 r 531

S N ( 1 1 5 r 501 SN(115r 501 SN(115. 501

O.tOC83 + O.GCC249 23

c.oct7 + 0 . C C C S I

c.cc40 + o.cc12 C.C14 t O.CC42

C.GO12 + C.CO036

2 3

2 3 23

2 3

B I B I B I B I B I B 1

B I B I 8 1 B I BI B I B I B I B I B I B I

a 1

0 .o

0.0 0.0

0.0 c.cc25 + c.ccc75

C.0069 + O.CC207 C.024 + 0.C072

G.0012 + O.CGC36

23

23 2 3

2 3 0 .o

0.0 0.0

0.0 c.cc27 + c.cccai

C.CI3 + O . C C 3 F C.C50 + @.GI5

c.cco3 t 0.cccc9

23

23 23

23 0 .o

0.0 0.0

0.0 O . O C 1 5 + O.CCC45

G.0065 + OitC195 C.C31 + G.CO93

0.12 + O a r 3 6

2 3

2 3 23

2 3 0.0

0.0 0.0

SN ( I N 1 I N ( IN( IN( IN( I N ( I N ( IN( I N 1 IN( I N ( IN( AG (

1 5 ; 501 14, 49) 14. 491 149 491 I 4 r 491 14, 491 ( 4 1 491 1 4 1 491 1 4 1 491 I l r 491 1 1 , 491 1 1 1 491 I t r 491 131 471

2.5 t 0.75 O.CC44 + G.CC132

23 23

0.0 0.0

0.0 0.13 + 0.C39

0.32 + Cot96 4.9 + 1.47

0.12 + 0.C36

2 3

23 23

23 0 .o 0.0 0.0

1.2 + 0.36 C.28 i O.Ce4

2 3 23

D.0 0.0

0.0

AGii13. L i i AG(113. 471 A G ( 1 1 3 r 471 AG(113. 471 AG(113r 471

1.5 + G.45

1.7 + 0.51

23

2 3

38

INC. PART

P P P P P P P P P P P P P P P P P P P .P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P

TARGET NUCLEUS

RESIDUAL NUCLEUS

ENERGY ( M E V I

A G ( l l 3 r 471 A G ( 1 1 3 , 471 A G O 1 2 r 47) A G ( 1 1 2 * 471 A G ( 1 1 2 1 471 A G ( 1 1 2 . 47) A G ( I I 2 v 471 A G ( 1 1 2 1 471 A G ( 1 1 2 9 471 A G ( 1 1 2 , 471 A G ( l l l t 471 A G ( I I I , 471 A G ( I I I 1 471 A G ( l l l r 471 A G ( I I I , 471 A G ( I l l , 471 A G ( I I I 1 47) A G ( l l l r 471 PD(II2v 4 6 ) P D ( 1 1 2 s 461 PD(IO9t 461 PD(IO9, 461 PD(103r 461 PD(1031 461 P D ( I O O 1 4 6 1 P D ( l 0 0 t 4 6 ) N B ( 961 4 1 1 N B ( 96 , 4 1 1 N B ( 961 4 1 ) N B ( 961 4 1 1 NB( 961 4 1 1 N B ( 961 4 1 1 N 8 ( 961 4 1 1 N B ( 961 4 1 1 N B ( 951 4 1 1 N B ( 959 4 1 1 N B ( 951 4 1 1 N B ( 951 4 1 1 NB( 951 4 1 1 N B ( 951 4 1 ) N B ( 951 411 NB( 951 4 1 1 N B ( 951 4 1 1 NB( 951 4 1 1 N 8 ( 951 4 1 1 N B ( 951 4 1 1 R B ( 861 371 R 8 ( 861 371 B R ( 8 4 1 351 B R ( B C t 35) B R ( 841 35) B R ( 841 351 B R ( 831 351 B R ( 831 351 B R ( 831 351

373.0 400.0

75.0 77.0 90.0

120.0 155.0 184.0 373.0 400.0

75.0 77.0 90.0

120.0 155.0 184.0 373.0 400.0 155.0 192.0

192.0 155.0 192.0 155.0 192.0 75.0 77.0 90.0

120.0 155.0 184.0

400.0 75.0

155.0

373.0

75.0 77.0 90.0

120.0 120.0 155.0 184.0 t84.0 373.0 373.0 coo. 0 155.0 184.0 75.0 77.0 90.0

120.0 75.0 77.0 90.0

SIGMA ( M a l EXP ER IMEN 1 Cd L CU L AT E 0

REF

0.0

0 .o 0.0

0 .o

0 .o

0.0 0 .o

0.0

0.0 0 .o

0.0

0.0

0.0

0.0 0.0

0.0

0.0

0.0 0.0

0.0

0.0 0 .o

0.0 0 .o

1.1 + 0.33

0.12 t 0.036

0.69 + 0.207

C.89 t 0.267

C.35 t 0.105

1.9 + 0.57

1.7 t 0.51

2.4 t 0.72 3.1 t 0 . 9 3

0.12 t 0.036

0.48 t 0.144

@.COP t O.CC27

0.C16 + C.CO48 C.C26 t O.C07@

0.70 + 0.21

2.3 t 0.69 4.1 t 1.23

C.017 t O.ELl51 C . C l 2 t O.CO36

0.14 t 0.042 0.079 t 0.0237

0.9 + 0.27 0.45 t 0.135

2.7 t O . @ l C.81 t 0.243

C.C53 t O.tl59 C.023 t 0.C069

0.19 t 0.057 c.c54 t O . t l C 2

0.0 0.0

23

23

23

23 23

23

23

23 23

23

23

23

23 23

23

23 23

23 23

23 23

23 23 23 23

23 23

23 23

, . . .

39

SIGMA ( M E ) CALCULATED EXPERIMENT

REF INC. PART


TARGET NUCLEUS

RE SI DUAL NUCLEUS

ENERGY ( MEV )

B R ( 83, 35) B R ( 831 35) 8 R ( 831 35) B R ( 83, 35) B R ( 831 35) B R ( 82, 35) B R ( 821 35) B R ( 821 35) B R ( 821 35) B R I 821 35)

B R I 8 2 1 35) 8 R ( 821 351 B R f 80. 35) B R ( 80, 351 B R ( 801 35) 8 R ( 80, 35) A S ( 77, 33) A S ( 77, 33) A S ( 771 33) A S ( 771 33) AS( 771 3 3 ) A S ( 77, 331 A S ( 771 331 A S ( 771 33) A S ( 761 33) AS( 76, 33) A S ( 761 33) A S ( 76, 33) A S ( 76, 331 A S ( 761 33) A S ( 741 33) A S ( 74, 33) A S ( 74, 33) A S ( 741 33) A S ( 74, 33) A S ( 741 33) A S ( 741 33) A S ( 741 33) C U ( 671 29) C.U( 671 29) C U ( 671 29) C U ( 671 291 C U ( 67, 29) CU( 671 29) C U ( 64, 29) CU( 641 29) C U ( 641 29) CU( 649 29) CU( 6 4 1 29) CU( 641 29) C U ( 61 , 29) C U ( 6 1 1 29) C U ( 61, 291 NP(23Br 93)

B R ( 82, 35)

120.0 155.0 184.0 373.0 400.0 75.0 77.0 90.0 120.0 155.0 184.0 373.0 400.0 155.0 184.0 373.0 400.0 75.0 77.0 90.0

120.0 155.0 184.0 373.0 400. 0 90.0

120.0 155.0 184.0 373.0 400.0 75.0 77.0 90.0

120.0 155.0 184.0 373.0 COO. 0 90.0

120.0 155.0 184.0 373.0 400.0 90.0 120.0 155.0 184.0 373.0 400. 0 90.0 120.0 155.0 340.0

0.0 0.45 + 0.135

0.98 + 0.294 1.6 + C.48

C.GCZZ + O.CCC99

23

23 23

23 0.0

0.0 0.0

0.0 2C9, 83) 2C9, 831 2C91 83) 2C9r 831 2C9, 831 2C9, 83) 2C9, 83) 2C9, 83) 2C9, 83) 2C9, 83) 2C9, 83) 2C9, 83) 2C9, 831 2C9, 83)

2C9. 83)

2C91 831 2C91 83) 2C9, 831 2C9r 831 2C9, 831

2C9, 83) 2C9r 83) 2C91 83) 2C9, 83) 2C91 83) 2C91 83) 2C91 83)

2C91 831 2C9, 83) 2C91 831 2C9, 83) 2C91 83) 2091 831 2C9, 83) 2C91 83) 2C91 83) 2C91 831 2C9, 83) 2C9, 83) 2C9, 83) 2C91 83) 2C91 83) 238, 921

2C9, 83)

2C9, 831

2C9, 83)

2C9, 83)

c.13 + 0.C3F

0.76 + 0.228 1.5 t 0.45

8 1 B 1 B I BI BI B I B I 8 1 B I 8 1 B I B I B I B I B I B I 8 1 B I B I 81 B I B I 8 1 B I B I B I B I BI B I B I B I BI B I B I B I B I B I B I B I BI 8 1 B I B I B I 8 1 B I 1

23

23 23

0.0 0.0

0.63 t 0.189 1.8 + 0.54

c.c74 + 0.c222

23 23

23 0.0

0.0 0.0

0.0 0.47 + 0.141

1.6 + 0.48 2.2 + 0.66

23

23 23

0.0 0.0

0.0 0.24 + 0.t72

0.71 + 0.213 2.3 + 0.69

c.008 + C.CGZ~

23

23 23

23 0.0

0.0 0.0

0.0 C.041 + 0.C123

0.19 + 0.C57 0.69 + 0.2C7

23

23 23

0.0 0 .o

0.0 C.038 + C . C l 1 4

0.12 + 0.036 0.41 + 0.123

23

23 23

0 .o 0 .o

0.0 0.0059 + C.CO177

G.036 + O . G I C @ 0.11 + 0.031

23

23 23

0.0 0.0

0.0 0.003C + O.EOC90

0.46 + 0.C5

23

23

. . . _

40

INC. P A R T


TARGET NUCLEUS

RESIDUAL NUC LE US

NP(238. 93) NP(2361 93) NP(2361 93) NP(236r 931 NP(236r 93) NP(2361 931 NP(236r 931 NP(236r 93) N P ( 2 3 6 ~ 931 NP(236r 93)

U1237r 92) U(237. 92) U(2371 921 U(2371 92 ) U(237. 921 U(237r 921 U(232s 921 U ( 2 3 2 1 9 2 ) U1230r 92) U(230r 921 U(2301 921 U(23o i 92) U(2301 92) U(230r 92) U(230r 92) Ut2291 92 ) U(229, 92 ) U(2291 921 U(229v 921 U1229r 921 U(229r 921 Ut2291 92) U(228r 92) U ( 2 2 8 r 92) U ( 2 2 8 1 921 U(228, 92) U(228r 92) U ( 2 2 8 r 92) U ( 2 2 8 r 921

PA(2351 91) PA(235. 911 PA(235r 91) PA(235i 91) PA(2351 91) PA12351 91) PA(232, 911 PA(232 i 91) PA(2301 91) PA(2301 91) PA(230, 911 PA(2301 911 PA(230r 91) PA(230. 91) PA(2301 91 ) PA(230i 91)

ENERGY ( UEV 1

350.0 50.0 .~ ~

55.0 80.0

100.0 120.0 150.0 340.0 340.0 350.0 100.0 150.0 200.0 300.0 340.0 350.0 340.0 350.0 100.0 150.0 200.0 250.0 300.0 340.0 350.0 100.0 150.0 200.0 250.0

350.0 I O O . 0 150.0 200.0 250.0 300.0 340.0 350.0 100.0 150.0 175.0 250.0 340.0 350.0 340.0 350.0 100.0 150.0 190.0 200.0 250.0 270.0 340.0 350.0

S I G M A ( U B I C AL CU L AT E 0 EXP ER I MEN 1

3.94 84.04

40.97

27.58

14.44 95.60

80.76 82.07

68.28

63.03

23.64 75. I I 48.59 38.08 35-02 39.39

22.32 78.79 51.21 45.96 45-52 30.20

35.45 70 38 54.50 48.59 34. I 4 42.02

30.20 7.88 8.54

14.01

2.63

9. I 9 10.51 11.16

13.13 10.51

10.51

5.0 + 1.0 4.@ + 1.c

2.5 + 0.5 2.6 + 0.5 1.7 + 0.1

12.0

93.0 73.0 67.5 81.0 e5.0

(4.0

0.41 + 0.03 C.67 C.41 c.40 c.34

c.35 + 1.2

0.C46 C . I I c.10

0.C69 0.C56

0.C6C + O.CO.5

O . C l 2 0.C46 0.C30

0.C32 0.C37

C.038 + 0.002

5.7 + 0.5

7.3 + 0.5 15.1 + 0.2 2 I . C + 2.c

8.7 + 1.c

1.5 + 0.2 3.7 3.6

4.8 + 0.4 5.1 + 0.5

REF

29 29

29 29 23 23

23 23 23 23 23

23

23 23 23 23 23 23

23 23 23 23 23 23

23 23 23 ~~

23 23 23

23 23 23 23 23

23

23 23 23

23 23

41

I

INC. P A R T


TARGET RESIDUAL ENERGY NUCLEUS NUCLEUS (HEV )

340.0 350-0 100.0 150.0 200.0 250.0 300.0 340.0 350.0 100.0 150.0 190.0 200.0 300.0 340.0

100.0 150.0

200.0 250.0 270.0 340.0 350.0 100.0 150.0

200.0 340.0 350.0 100.0 150.0 190.0 200.0 250.0 270.0 340.0

340.0 350.0 340.0 350.0 100.0 150.0 (90.0 200.0 250.0 270.0 340.0 350.0 100.0 150.0 190.0 200.0 250.0

350.0

I 90.0

I 90.0

350.0

S I G M A ( M E ) CALCULATE 0 EXPERIMENT

15-74 0 .o

I5.10 19.04 18.38 15-76

23.64 0.0 0.66

0.66 1-31

1-31

I e31

0.66

I .05

2.63

0.0 0.0 I .97

1-31

5.25 0.0 1-31

2.63 2.63

3.94

1-31

1-31 0 .o 0 .o

0.66 0.0

0 .o 0.0 0 .o

0.66 0 .O

1.7 + 0.2

C.CE6 C.3C C.62

0.71 t 0.C6

c.95 + c.1 I .E 1 . 1

2.5 I.@ t 7.c

c.5c + 0.c5 I .C 1 . 1

1.7 2.4 + 0.1

C.E5 C.F c . 9 5

2 .9 + 0.9

0.32 t C . C I C . F I .5

2.3 + 0.2 3.3 + c.4

2.7 t C.2

C.62 t C.CB

c.c21 c.c7 C.24

c .3e 0.54 t 0.CF

C.Cl I c.cc9

C.26

REF

23

23 23 23 23 23 23

23 23 23

23 23

23 23 23

23 23

23 23 23

23

23 23 23

23 23

23

23

23 23 23

23 23

23 23 23

42

INC. PART


TARGET NUCLEUS

RES I DUAL NUCLEUS

6 6 1 70) 661 70) 6 6 , 67) 661 67) 6 6 , 6 6 ) 661 6 6 ) 641 6 5 ) 641 6 5 ) 6 3 1 6 5 ) 631 6 5 ) 6 1 1 6 5 ) 611 6 5 ) 601 6 5 ) 601 6 5 ) 591 64) 59. 64)

ENERGY ( MEV )

270.0 340.0

340.0 350.0 340.0

350.0

350.0 340.0 350.0 100.0 150.0 200.0 250.0 270.0 340.0 350.0 340.0 350.0 340.0 350.0 200.0 340.0 350.0 200.0 340.0 350.0 200.0 340.0 350.0 340.0 350.0 340.0 350.0 3401 0

340.0 350 0 150.0 170.0 150.0 70.0 50.0 70.0 50.0 70.0 50.0 70.0 50.0 70.0

100.0 150.0 170.0 200.0 250.0 300.0

350.0

SIGMA ( M e 1 C AL CUL ATE0 EXPERIMENT

REF

1-31

0.0

0.0

0.0 0 .o 0.0 0 .o 0.0

0 .o

0.0

0.0 0.0

0.0 0 .O

0.0 0.0

0.0

0.0

0.0

0.0

0 .o 0 .o

0 .o

0.0

0.0

0.0

0.0

0.0 0.0

0.0 0 .o 0.0

t.4 I 0.62 + C . 1 3

I .CS t C - C S

c.c43

0.26 + 0.C2

C.Cl7 C.C9 C.26

c.44 C.58 t 0.18

2.8

0.48 t 0. I I

C .C8 I .2

C.17 1.7

1.1 1.6

C . C I

C.7

c.cs

C.4

0.05 + 0.c2

0.10 t 0.C4

c.3 t 0.1

C.4 t 0.3

C.45 t 0 . l C

c.9c

c.54 O.S@ + 0.Ce

C.46 c.47

c.89

C.42

23 23

23

23

23

23 23 23

23 23

23

23

23 23

23 23

23 23

23

23

23

23

23

23

23

23

23

23 23 23 23 23 23 23

_ . .

43

I N C . PART


TARGE T NUCLEUS

RES I DUAL NUCLEUS

5 6 , 621 53, 62) 5 3 1 62) 531 6 2 ) 5 3 1 62) 5 3 1 62) 5 3 1 62) 5 3 1 62) 53s 62) 5 3 1 62 )

PM ND ND ND ND ND ND ND ND

1491 6 1 ) 1 4 9 s 6 0 ) 1491 6 0 ) 1471 6 0 ) 147, 6 0 ) 1 4 7 9 601 IO71 6 0 ) 1 4 7 1 6 0 ) 1471 6 0 )

ENERGY MEV )

340.0

50.0 70.0

100.0 150.0 200.0 250.0 300.0 340.0 340.0 350.0 150.0 170.0 340.0 350.0 50.0 7 0 . 0

100.0 150.0 200.0 250.0 300.0 340.0 340.0 350.0 150.0 170.0 150.0 1 7 0 . 0 150.0 170.0 150.0 170.0 50.0 70.0

100.0 150.0 200.0 250.0 300.0 340.0 340. 0 350.0 150.0 200.0 250.0 300.0 340.0 340.0 350.0 1 5 0 . 0

50.0 7 0 . 0

350.0

1 7 0 . 0

S I G M A ( M E ) CALCULATED EXPERIMENT

0 .o 0.0

0.0 0.0 0.0 0.0 0 .o

0.0 0 .o

0.0 0.0

0.0 0.0 0.0 0.0 0.0

0 .o 0.0

0 .o

0.0

0 -0

0.0

0 .o 0 .o 0.0 0.0 0 .o

0.0 0.0 0.0 0.0 0.0

0.0 0.0

0 .o

c.40

I .22 I .-‘I c.93 C.86 C.92 1.12 2.8 I .22

0.47 + 0.C7 I .2

4.6 4.4 3. I 2.6 2.6 2.4 4.5 2.c

2.e + 0.4

1.1 + 0.3

5.4 + 0.8

5.6 + 0.0

17.0 18.0 12.0 11.3 11.4 I C . 8 9.7 33.0

c.7 3.4 7. I 13.0 17.0 4.2

l2.C + 2.c

C.36

R E F

23

23 23 23 23 23 23 23 23

23 23

23 23 23 23 23 23 23 23

23

23

23

23

23 23 23 23 23 23 23 23

23 23 23 23 23 23

23

23

. . . _

INC. P A R T


TARGE 1 NUCLEUS

RES1 DUAL NU(: LEUS

ENERGY ( M E V )

100.0 150.0 200.0 250.0 300.0

340.0 350.0 150.0 170.0 340.0 350.0

50.0 70.0

100.0 150.0 200.0 340.0 350.0

50.0 70.0

100.0 150.0 200.0 250.0 300.0 340.0 350.0

50.0

100.0 150.0 200.0 340.0 350.0 150.0 170.0 50.0 70.0 100.0 150.0 200.0 250.0 300.0 340.0 340.0 350.0 150.0 170.0 340.0 350.0 150.0 170.0 340.0 350.0

340.0

ro .0

S I G M A ( M a ) CALCULATED EXPERIMENT

REF

0.0 0.0 0.0 0.0 0.0

2. I 2.c I e9 2.2 2.3 13.0 1.9

23 23 23 23 23 23 23

43, 59) 43, 59) 43, 59) 43. 59) 43, 59) 42, 59) 42, 59) 429 59) 429 59) 4 4 9 5 8 ) 44, 5 8 ) 4 4 , 5 8 ) 4 4 , 5 8 ) 44, 5 8 ) 44, 5 8 ) 44, 5 8 )

PR ( PR f PR ( PR ( PR I PR PR ( PR ( PR ( CE ( CE ( C E CE ( CE ( CE t CE (

0.0 0.0

23 23

1.6 + 0.2 7.e

0.0 0.0

0.0 0 .o 0.0

0 .o 0.0

0.0 0.0 0.0 0.0 0.0

0.0 0.0

0 .o 0.0 0.0

0.0 0.0

0.0

0.0 0.0 0.0 0.0 0.0

3C.O 2e.c 18.0 17.0 14.0

23 23 23 23 23

23 23 23 23 23 23 23

36.0 31 -0

21.0 21.0 23.0 2c.0

22.0

49.0

36.0

31.0

51.0

36.0

23 23 23 23 23

2C.4 + 5.0

e.6 e.6 7.9 6.2 7.3 7.c 11.0 5.5

23

23 23 23 23 23 ~~

23 23 23

0.0 0.0

2I.C + 2.c 23.0

23 23

0.0 0.0

25.c + 2.c 43.0

23 23

0.0

I " . . .

45

INC. PAR7

P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P 2 P P P P

TARGET NUCLEUS

U(238r 921 U(238r 921 U t2381 921 l i ( 2 3 8 r 92 ) U(238r 921 U(238r 921 U(238r 921 U(238r 92 ) Ut2389 921 Ut2389 921 U(238r 921 U(238r 921 U(238r 921 U(238r 921 Ut2389 921 U(238r 921 U(238r 921 U(238r 921 U(238r 921 U(238r 921 U(238r 921 U(238r 921 U(238r 921 U(238r 921 U(238r 921 U(238r 921 U(238r 921 U(238r 921 U(238r 921 U(238r 921 U(238r 921 U(238r 921 U(238r 92 Ut2389 92 U t2381 92 U(238r 92 U(238r 92 U(238, 92 U l 2 3 8 r 92 Ut2389 92 Ut2389 92 ) U l 2 3 8 r 921 U(238r 921 U(238r 921 U(238r 92) U(238r 921 U(238r 921 U(238r 921 U(238r 92) U(238r 921 l j ( 2 3 8 r 921 U(238r 921 U(238r 921 U(238r 921 Ut2389 92)

RES I DUAL NUCLEUS

BA(135r 561 BA(135r 56 ) CS(136r 551 CS(136r 551 CS(136r 551 CS(136r 5 5 )

I ( 1 3 4 r 531 I ( 1 3 3 r 531 I t 1 3 3 9 531 I t 1 3 2 9 531 I ( 1 3 2 r 531 I ( 1 3 1 r 531 I ( 1 3 1 r 531 I ( 1 3 1 r 531 I ( 1 3 0 r 531 I ( 1 3 0 r 531 I t 1 2 8 9 531 I ( 1 2 8 r 531 I t 1 2 6 9 5 3 ) I ( 1 2 6 r 531 I ( 1 2 4 r 531 I ( 1 2 4 r 531

TE(134r 521 TE(134r 521

I ( 1 3 4 , 531

TE(132r 52 TE(132r 52 T E l 1 3 2 r 52 TE(131r 52 T E ( 1 3 l r 52 T E ( 1 3 l r 52 T E ( 1 3 l r 5 2 TE(131r 52 S B ( 1 3 l r 51 S8(131, 51 SB(127r 511 SB(127r 511 S B ( 1 2 4 r 511 S B ( l 2 4 r 5 1 ) C D ( I I 5 r 4 8 ) CD ( I C D ( I AG ( I A G ( I A t ( I AG ( I AG ( I A G ( I P D l l

5 r 481 5 1 481 7 1 471 79 471 1 1 471 I r 471 Or 471 Or 471 2 r 461

P D ( I I 2 r 461

P D ( l l 2 r 461 P D ( I I I r 461 P D ( l l l r 461 PD( IO9r 461

P D i i i 2 r 46;

ENERGY ( UEV 1

I50.0 170.0 150.0 170.0 340.0 35000 150.0 170.0 I50.0 170.0 150.0 170.0 I50.0 170.0 170.0 150.0 170.0 150.0 170.0 150.0 170.0 150.0 170.0 150.0 170.0 I50.0 170.0 170.0 150.0 170.0 170.0 3 4 0 0 0 350.0 150.0 170.0 I50.0 170.0 150.0 170.0 340.0 340.0 350.0 340.0 350.0 150.0 170.0 150.0 170.0 150.0 170.0 300.0 350.0 340.0 350.0 340.0

SIGMA tMB1 CALCULATEC EXPERIMENT

0.0

0.0

0.0 0.0

0.0

0.0

0.0

0 .o

0 .o

0 .o

0 .o

0 .o 0 .o

0.0

0.0 0.0

0.0

0.0

0.0

0 .o 0.0

0 .o

0.0

0 .o

0.0

6.0 + 0.9

13.C i 1-13 5.9

1 I . C i 2.c

1e.c + 2.c

16.C t 4.C

31.C + 7.C 24.C + 2.C

12.7 t 2.C

9.4 t 0.2

5.2 + 0.1

1.1 i 0.2

9.0 i 2.c

l9.C t 5.C 9.C t 0.6

3.0 t 1.c 7.9 t 3.c

5.9

7.9 t 3.c

19.C t 6.C

2.2 + c.3 12.c 34.0

4e.5

53.c + 44.c

2.c t 1.c

5c.c + 12.c 5.2

39.0

4.5

REF

2 3

2 3 2 3

2 3

2 3

2 3

2 3 2 3

2 3

2 3

2 3

2 3

2 3

2 3 2 3

2 3 2 3 2 3

2 3

2 3

2 3 2 3 2 3

2 3

2 3

2 3

2 3 2 3

2 3

2 3

. . . .

46

INC. TARGET RESIDUAL PART N UC L E US NKLEUS

ENERGY ( M E V 1


353.0 150.0 170.0 340.0 350.0 150.0 170.0 150.0 170.0 340.0 350.0

50.0 70.0 100.0 150.0 200.0 250.0 300.0 340.0 350.0 150.0 170.0 150.0 170.0 170.0 I50.0 170.0 150.0 170.0 170.0 100.0 150.0 200.0 250.0 300.0 340.0 350.0 150.0 170.0 50.0 70.0 100.0 150.0 200.0 200.0 250.0 300.0 340.0 350.0

50.0 70.0

100.0 150.0 250.0 300.0

SIGMA ( M E ) CPLCUL AT EC EXPERIMENT

R E F

0.0 0.0

0 .o 0.0

0.0

0.0 0.0

0 .o 0.0 0.0 0.0 0 .o

0 .o 0.0

0.0

0.0

0.0

0.0 0.0 0.0 0.0 0 .o

0.0 0 .o

0.0

0.0 0 .o 0.0 0.0 0 .O 0.0

0.0 0.0

0 .o 0 .o 0 .o 0.0

5c.c t 12.c 52.0

56.C + 7-C

43.0 t 12.C 42.C

71.0 6 F . C 55.0 53.0 58.0 62.0 59.0

9.C t 0.9

3.8 t c.2 2.7 t 0.6

0.47 t 0.C6

32.C t 6.C 33.c + 3.c

49.0 39.0 38.C 3e.c 38.0 3e.o

11.9 t 2.C

27.0 3c.c 27.0 26.0 3.7 37.0 37.0 32.0

c.c2 0.1 I c.15

3.9 3.e

23 23

23

23 23

23 23 23 23 23 23 23

23

23 23

23

23 23 23 23 23 23 23 23

23

23 23 23 23 23 23 23 23

23 23 23 23 23

. . . .

47

INC. PART

TARGET R E S I D U A L NUCLEUS NUC LE US

ENERGY S IGMA ( M E ) ( MEV CALCULATE 0 EXPERIMEN T

R E F

P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P ? P P P P

II( 238 1

U( 2381 U( 238 1

U( 2381 U( 2381 U( 2381 U( 2381 b( 238 1

U( 2381 U( 2381 Ut 238 1

U( 2381 U( 2381 L'( 238 1

U( 238 9

IJ( 238 1

Ut 238 1

U( 238 9

U(238r U( 238 1

U( 2381 U( 238 1

U( 2381 U( 2381 b l 238 1

U( 2381 U( 238 1

U( 2381 U( 238 1

U( 2381 U( 238 1

U( 2381 U( 2381 U( 2381 U( 238 1

U ( 2 3 8 , U( 2381 U(238r U( 238 1

U( 2381 U( 2381 U( 2381 U( 2381 U( 2381 U( 2381 U( 238 1

U( 238 9

U( 2381 U( 2381 U( 238 1

V ( 238 1

U( 238 1

U( 238 1

U( 2381 U( 238 1

9 2 ) Y ( 9 0 1 3 9 ) 9 2 ) Y ( 9 0 , 3 9 ) 9 2 ) SR( 921 3 8 ) 9 2 ) S R ( 921 3 8 ) 9 2 ) SR( 921 3 8 )

9 2 ) S R ( 911 3 8 ) 9 2 ) S R ( 9 1 1 3 8 ) 9 2 ) S R ( 911 3 8 ) 921 S R ( 911 3 8 ) 9 2 ) S R I 9 0 1 3 8 ) 9 2 ) S R ( 9 0 , 3 8 ) 9 2 ) S R I 901 3 8 ) 9 2 ) S R ( 8 9 1 3 8 ) 9 2 ) SR( 8 9 1 3 8 ) 9 2 ) SR( 891 381 9 2 ) S R ( 891 3 8 ) 921 E R ( 861 3 7 ) 9 2 ) 8 R ( 861 371 9 2 ) R B ( 8 6 1 371 921 R E ( 861 371 9 2 ) B R ( 8 4 1 3 5 ) 9 2 ) B R ( 8 4 1 3 5 ) 9 2 ) 8 R ( 8 3 1 3 5 ) 9 2 ) B R ( 8 3 1 3 5 ) 921 B R ( 8 3 1 3 5 ) 921 B R ( 8 3 . 3 5 ) 9 2 ) B R I 831 3 5 ) 9 2 ) B R I 8 2 1 3 5 ) 9 2 ) 8 R ( 8 2 1 35) 9 2 ) B R ( 801 3 5 ) 9 2 ) BR( 801 351 9 2 ) SE( 831 341 921 SE( 8 3 1 341 9 2 ) SE( 811 341 9 2 ) S E ( 8 1 1 3 4 ) 9 2 ) AS( 7 8 1 3 3 ) 9 2 ) A S ( 789 331 9 2 ) A S ( 7 7 1 331 9 2 ) A S ( 7 7 1 3 3 ) 9 2 ) A S ( 7 7 1 3 3 ) 9 2 ) A S ( 7 6 1 331 9 2 ) A S ( 7 6 1 3 3 ) 9 2 ) A S ( 7 6 1 331 9 2 ) A S ( 7 6 1 3 3 ) 9 2 ) A S ( 7 6 1 3 3 ) 9 2 ) A S ( 7 4 1 3 3 ) 9 2 ) A S ( 7 4 1 331 9 2 ) G E ( 7 8 1 3 2 ) 9 2 ) G E ( 7 8 1 3 2 ) 9 2 ) G E ( 7 7 1 3 2 : 921 G E ( 7 7 1 3 2 ) 9 2 ) G E ( 7 3 1 3 2 ) 9 2 ) G E ( 7 3 1 3 2 ) 9 2 ) G A ( 7 2 1 321

9 2 ) S R ( 9 2 , 381

340.0 350.0 150.0 170.0 340.0 350.0

170.0 340.0 350.0

170.0 170.0 150.0

340.0 350.0 150.0

340.0 350.0 340.0

150.0

150.0

170.0

170.0

350.0 150.0

170.0 170.0

340.0 350.0 340.0 350.0

350.0 340.0 350.0

350.0 150.0 170.0 150.0 170.0 170.0 150.0

170.0 340.0 350.0

170.0 150.0 170.0 150.6 170.0 150.0 170.0 150.0

340.0

340.0

170.0

150.0

7.2 2 3 0.0 0.0

6.2 4c.0

2 3 2 3

0.0 0.0

35.c 4 4.c 38.0

2 3 2 3

0.0 0.0

31.c t 2.c 23.c + 1.c

31.c t 2.c 35.0

2 3 2 3

0.0 2 3 2 3

0.0 0.0

2.3 t 0.2 13.8

3.3

2 3 2 3

2 3 0.0

0 .o 0.0

5.0 t 0.9 c . r7 t 1.2

3.E

I .57

c.35

5. I

1.5

2 3 2 3 2 3

2 3

2 3

2 3

2 3

0.0

0.0

0 .o

0 -0

0 .o 0 .o

0 .o 2.5 + 1.C

5.2 t 0.6 4.5 + 0.6

C.6 + C.2 C.96 t C.16

c.21

2 3

2 3 2 3

2 3 2 3 2 3

0.0

0.0 0 .o

0.0

0 i n

0 .o

0.0

0.C34 + O.CC4

6.7 + 2.7

2.9 + 0.4

1.95 + 0.12

2 3

2 3

2 3

2 3

48

INC. PART

P P P P P P P P P P P P P P P P P P P P P N N N N N N N N N N N N P I - P I - P I - P I - P I - P I - P I - P I - P I - P I - P I - P I -

TARGET NUCLEUS

RES I DUAL NUCLEUS

ENERGY I MEV 1

170.0 340.0 350.0 150.0 170.0 340.0 350.0 150.0 170.0 150.0 170.0 340.0 350.0 150.0 170.0 340.0 350.0 340.0 350.0 340.0 350.0 350.P

350.0

350.0 370.0 350.0

350.0

24.0 2 5 . 0 50.0 53.0 80.0 100.0 127.0 150.0 179.0 200.0 212.0 245.0 250.0 300.0 304.0

370. D

370.0

370.0

370.0

SIGMA ( M E ) c I ~ L cu L A T E o EXPERIMENT

0.0 0.0

0.0 0.0

0 .o

0 .o 0.0

0.0

0.0

0.0 3.3 13.3)

3.50 (12.31

0.62 (4.71

0.21 (1.0)

0.41 (0.0)

1401.89 16.8 + 1.9

57.08 + 3.6

84.25 + 5.1

72.0 + 4.7

50.33 + 4.4 45.30 + 4.2

C.53 + 0.C6 2. I

0.96 i 0.16 2. I

C.C26 + C.CC2

+ C.C6 C.63

C.80 + C e C 3 C . 5 6

c.18

c.cs

5 .1 + 2.c

24.4

6.8 + 2.4

3.2 t 2.4

( 3 . 4 ) 325.0

1.0 + 1.c 3a.c + 4.0

59.c t 5.c

68.C + 6 . C

67.C + 6.C 61.C + 6.C

41.c + 4.0

REF

23 23

23 23

23

23 23

23 23

23

23

6

6

6

6

6 30

31 31

31

31

31 31

31

. * . .

49

NASA-High Energy Listing

Tino Ahrens, Advanced Research Corporation, 715 M i a m i Circle, N. E., Atlanta, Georgia 30324

Louis Avrami, Explosives Laboratory, Bldg. 407, Pictinny Arsenal, Dover, New Jersey 07301

M. Awschalom, Princeton Penn. Accelerator, P. 0. Box 682, Princeton, New Jersey 08540

M. Barbier, CERN, Geneva Switzerland

N. B a r r , Radiological Physics Branch, Division of Biology and Medicine, U. S. Atomic Energy Commission, Washington, D. C. 20545 (5 copies)

C. K. Bauer, Dept. 72-34, z-26, Lockheed-Georgia Company, Marietta, Georgia 30060

P. R. B e l l , TH, Chief of Lunar and Earth Sciences Division, Manned Space- c r a f t Center- NASA, Houston, Texas 77058

S. Bresticker, Grwmnan Aircraft Engineering Corp., Space Sciences Group, Plant 5, Bethpage, L. I., New York 11714

Karan 0. Brien, Health and Safety Laboratory, Radiation Physics Division, 376 Hudson Street, New York, New York 10014

Brooks Air Force Base, Radiobiology Department, Chief, San Antonio, Texas 78235

M. 0. B u r r e l l , M-RP-NIP, National Aeronautics and Space Adm., Marshall Space Fl ight Center, Huntsville, Alabama 35812

B. W. Colston, U. S. Atomic Energy Commission, Sandia Area Office, P. 0. Box 5 b 2 , m5dyderqde, Kew mxim 87115

R. G. Cochran, Department of Nuclear Engineering, A and M College of Texas, College Station, Texas

Ted Colvin, Bendix Systems Division, 3300 Plymouth Road, Ann Arbor, Michigan 48105

E. A. Cosbie, Argonne National Laboratory, Argonne, I l l i n o i s 60440

Frederick P. Corn, Brookhaven National Laboratory, Upton, L. I., New York 11973

Director, Defense Atomic Support Agency, Pentagon, Washington, D. C. 20301

. . . .

Charles A. Dempsey, 6570 AMRL (MRT), Wright-Patterson AFB, Ohio 45433

H. DeStaebler, Jr., Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305

Herman J. Donnert, U. S. Army Nuclear Defense Laboratory, AMXND-C, Edge- wood Arsenal, Maryland 21010

D. W. Drawbaugh, Westinghouse Electr ic Corp., Astronuclear Laboratory, P. 0 . Box 10864, Pittsburgh, Pennsylvania 15236

John E. Duberg, National Aeronautics and Space Adm., Langley Research Center, Langley Field, Virginia 23365

D. L. Dye, The Boeing Company, Mail Stop S3-72, Seatt le, Washington 98124

Ronald F. Edge, Department of Physics, University of South Carolina, Columbia, South Carolina

N a t Edmunson, Code R-RP-N, National Aeronautics and Space Adm., Marshall Space Flight Center, Huntsville, Alabama 35812

Robley D. Evans, Professor of Physics, Room 6-315, Massachusetts I n s t i t u t e of Technology, Cambridge, Massachusetts 02135

E. M. Finkelman, Grumman Aircraf t Engineering Corp., LEM Project, Plant 25, Bethpage, L . I . , New York 11714

Trutz Foelsche, National Aeronautics and Space Adm., Langley Research Center, Langley Field, Virginia 23365

R. E. Fortney, Northrop Space Laboratories, 3401 West Broadway, Hawthorne, C.alif ornia 90250

Leo Fox, Code RBH, Biotechnology and Human Research Division, National Aeronautics and Space Adm., Washington, D. C. 20546

Stan Freden, Aerospace Corp., Box 95085, Los Angeles, Cal i fornia 90045

J. Y. Freeman, Division MPS, CERN, Geneva 23, Switzerland

J. Geibel, CERN, Geneva, Switzerland

R. C. Good, Jr., General Electric Company, Room M7023~ - VFSTC, P. 0. Box 8555, Philadelphia, Pennsylvania 19101

F. Gordon, Code 716, National Aeronautics and Space A h . , Goddard Space Flight Center, Greenbelt, Maryland lo027

Raymond M. Hansen, MS 235, National Aeronautics and Space Adm., Langley Research Center, Mail Stop 235, Langley Field, Virginia 23365

. . . .

51

Harry Harrison, Code RRE, National Aeronautics and Space Adm., Hdqts., Washington, D. C. 20546

Russell Heath, Phi l l ips Petroleum Company, P. 0. Box 2067, Idaho Falls, Idaho 83401

Herbert D. Hendricks, National Aeronautics and Space Adm., Langley Research Center, MS499, Langley Field, Virginia 23365

W. N. Hess, National Aeronautics and Space Adm., Goddard Space Flight Center, Greenbelt, Maryland 20771

R. H. Hilberg, Bellcomm, Inc., 1100 17th Street , N.W., Washington, D. C. 20036

Charles W. Hill, Dept. 73-69, Zone 280, Lookheed-Georgia Company, Marietta, Georgia 30060

L. Hoffman, CERN, Geneva, Switzerland

J. T. Holloway, Grants and Research Contracts, Office of Space Sciences, National Aeronautics and Space Adm., Washington, D. C. 20546 (5 copies)

W i l l i a m C. Hulten, National Aeronautics and Space A h . , M a i l Stop 235, Langley Research Center, Langley Field, Virginia 23365

T. Inada, National I n s t i t u t e Radiological Sciences, 250 Kurosuna-Cho, Chiba- Shi, JAPAN

Lt . Joseph F. Janni,WLRB-l, Air Force Weapons Laboratory, Kirtland Air Force Base, New Mexico 87117

Dale W. Jenkins, Chief, Environmental Biology, Office of Space Sciences, NASA, Washington, D. C. 20546

PhilL2pe Tardy-Jmbert., Serv. De Protection Contre Les Radiation, Centre D. Etudes Nucleaires De Saclay, B. P. No. 2, Gif-Sur-Yvette (Seine e t Oise), FRANCE

Clyde Jupiter, General Atomic, P. 0. Box 608, San Diego, California 92112

Irving Karp, NASA/ Lewis Research Center, Cleveland, Ohio 44135

Ludwig Katz, Air Force Cambridge Research Center, L. G. Hanscom Field, Massachusetts

Glenn Keister, Boeing Airplane Company, Aerospace Division, P. 0. Box 3707, Seat t le , Washington 98124

J. Warren Keller, Code RV-1, Naticnal Aeronautics and Space Adm., Washington, D. C. 20546 (3 copies)

52 I

James F. Kenny, Boeing Sc ien t i f ic Research Laboratory, P. 0. Box 3981, Seat t le , Washington 98124

E. C. Kidd, Zone STl, Dept. 61-2, General Dynamics/Fort Worth, P. 0. Box 748, Fort Worth, Texas 76101

David King, Department of Physics, University of Tennessee, Krioxville, Tennessee 37916

Robert L. Kloster, McDonnell Aircraf t Corp., P. 0. Box 516, S t . Louis, Missouri 63166

George A. Kolstad, Assistant Director Physics-Math Programs, Division of Research, U. S. Atomic Energy Commission, Washington, D. C. 20545

Eugene B. Konecci, Department of Management BEOB-ZOO, University of Texas, Austin, Texas 78712

W. Kreger, Code 940, U. S. Naval Radiological Defense Laboratory, San Francisco, California 94135

Ed Kuhn, Republic Aviation Corporation, Power Conversion Systems Division, Farmingdale, L. I., New York 11735

Wright H. Langham, Los Alamos Scient i f ic Laboratory, Los Alamos, New Mexico 87544

Borje Larsson, University of Uppsala, The Gustaf Werner Ins t i t u t e , Uppsala, Sweden

J. M. Lavie, Centre D. Etudes Nucleaires, De Saclay, S. E. C. R. - B. P. No. 2, 91-Gif-Sur-Yvette, FRANCE

Martin Leimdorfer, Industri-Matematik AB, De Geersgatan 8, Stockholm No. SWEDEN

S. H. Levine, Northrop Space Laboratories, 3401 W. Broadway, 2452/61, Hawthorne, California 90250

Lynn R. Lewis, Dept. 250, Bendix Systems Division, 3300 Plymouth Road, Ann fbbor, Michigan 48105

John R. Lilley, A-830-BBFO-78, Missile Space Systems Division, Douglas Aircraft Co., Inc., Santa Monica, Cal i fornia

S. J. Lindenbaum, Brookhaven National Laboratory, Upton, L. I., New York 11973

Major Russell E. Linkous, Air Force Systems Command (SCTR), Andrews AFB, Maryland 20331

53

M. Stanley Livingston, Cambridge Electron Accelerator, 42 Oxford Street Cambridge, Massachusetts 02139

Robert Macklin, J e t Propulsion Laboratory, Pasadena, California 91103

Brian M a r , Boeing Airplane Co., MS 23-82, Aerospace Division, P. 0. Box 3707, Seatt le, Washington 98124

L. W. McCleary, S pace and Information Systems Division, North American Aviation, Downey, California 90242

Thomas J. McGuire, Systems Engineering Group (SESSV ), Wright-Patterson AFB, Ohio 45433

E. J. McLaughlin, Space Medicine, NASA - Code MM, Washington, D. C. 20546

R. V. Meghreblian, J e t Propulsion Laboratory, 4800 O a k Grove Prive, Pasadena, California 91103

Albert E. Metzger, J e t Propulsion Laboratory, 354-401F, 4800 O a k Grove, Pasadena, California

J. M. Miller, Chemistry Department, Columbia University, New York, New York 10027

R. A. Miller, Zone STl, D e p t . 61-2, General Dynamics/Fort Worth, P. 0. Box 7118, Fort Worth, Texas 76101

Jerry L. Modisette, National Aeronautics and Space A h . , Manned Spacecraft Center, Houston, Texas 77001 (5 copies)

Winnie M. Morgan, Technical Reports, Grants and Research Contracts, Office of Space Sciences, NASA, Washington, D. C. 20546 (25 copies)

B. J. Moyer, University of California, Lawrence Radiation Laboratory, 6141 Building 50A, Berkeley, California 94720

R. F. Mozley, SLAC, Stanford University, Stanford, California 94305

Capt. J. D. Munson, Space Systems Division (SSTDS), Los Angeles Air Force Station, LOS h g e l e s , California 90045

Sam V. Nablo, I O N Physics Corporation, Burlington, Massachusetts 01803

R. R. Nash, Code RRM, National Aeronautics and Space A h . , Washington, D. C. 20546

John P. Neissel, MC-506, 175 Courtner Avenue, General Electr ic Company, San Jose, Cal i fornia 95125

W. R. Nelson, Stanford Linear Accelerator Center, Stanford, California 94305

54

W. K. H. Panofsky, Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305

Wade Patterson, University of California, Lawrence Radiation Laboratory, Berkeley, California 94720

Maynard Pearson, Boeing Airplane Company, Aerospace Division, P. 0. Box 3707,

Col. John E. Pickering, USAF, National Aeronautics and Space A h . , (Code MM),

Seattle, Washington 98124

Washington, D. C. 20546

G. F. Pieper, Code 600, National Aeronautics and Space Adm., Cbddard Space Flight Center, Greenbelt, Maryland 10027

Robert Pruett, P. 0. Box 95085, Los Angeles, California 90045

Arthur Reetz, Code RV-1, National Aeronautics and Space Adm., Washington, D. C. 20546 (3 copies)

0. Reynolds, Director, Bio-Science Programs, Office of Space Sciences, National Aeronautics and Space Adm., Washington, D. C. 20546 (5 copies)

Robert G. Riedesel, Douglas Aircraft Company, Missile and Space Division, 3000 Ocean Park Blvd., Santa Monica, California 90405

Don Robbins, ET32, National Aeronautics and Space A h . , Manned Space- c r a f t Center, Houston, Texas 77058

H. J. Schaefer, U. S. Naval School of Aviation Medicine, U. S. Naval Aviation Medical Center-54, pensacola, Florida 32512

W. Wayne Scott, Chattanooga State Technical Ins t i tu te , 4501 Amnico Highway, Chattanooga, Tennessee 3'7401

Robert L. Seale, University of Arizona, Tuscon, Arizona 85721

Pierre Lafore Sepp, Cormnissariat A L. Energie Atomique, Centre D. Etudes Nucleaires, De Fontenay-Aux-Roses (Seine), m i t e Postale No. 6, 92 Fontenay A u x Roses, FRANCE

Jerome L. Shapiro, Division Engineering and AppLied Science, Pasadena, California 91109

R. D. Shelton, Code R-RP-N, National Aeronautics and Space A b . , Marshall Space Flight Center, Huntsville, Alabama

Robert T. Siegel, Department of Physics, College of W i l l i a m and Maw, Williamsburg, Virginia 23185

J. J. Singh, M.S. 234, NASA. Langley Research Center, Langley Station, Hampton, Virginia 23365

55

G. D. Smith, Ames Research Center,

Je r ry Spealanan, 6570 AMRL (MRBBR),

Moffett Field, California 94035

Wright-Patterson AFB, Ohio

Dwain F. Spencer, J e t Propulsion Laboratory, Pasadena, California 31103

Stanford Linear Accelerator Center, ATTN: Library, P. 0. Box 4349, Stanford, California 94305

W i l l i a m Steigelmann, Kuljian Corp., 1200 North Broad Street , Philadelphia, Pennsylvania 19121

Henry Stern, R-RP-N, NASA, Marshall Space Flight Center, Huntsville, Alabama 35812

T. R. Strayhorn, S-71, General Dynamics, Fort Worth, Texas 76101

S. Tom Taketa, M a i l Stop N 236-5, NASA, Ames Research Center, Moffett Field, California 94035

Eizo T a j i m a , Rikkyo University, Ikebukuro, Toshimaku, Tokyo, JAPAN

Ralph H. Thomas, Rutherford High Energy Laboratory, Chilton, Didcot, Berks, ENGLAND

0. Lyle Tiffany, Chief Scient is t , Bendix Systems Division, 3300 Plymouth Road, Ann Arbor, Michigan 48103

Cornelius Tobias, University of California, Lawrence Radiation Laboratory, Berkeley, California 94720

Jacob I. Trombka, Code SM, National Aeronautics and Space A h . , Washington, D. C. 20546

W. Turchinetz, Massachusetts In s t i t u t e of Technology, 155 Massachusetts Avenue, Cambridge, Mas sac hus e t t s

Werner Von Braun, Director, George C. Marshall Space Flight Center, NASA, Huntsville, Alabama 35812

G. P. Wachtell, Franklin Ins t i tu te , 20th and Parkway, Philadelphia, Pennsylvania 19103

Roger Wallace, University of California, Bldg. 72, Lawrence Radiation Laboratory, Berkeley, California 94720

G. T. Western, Y-71, General Dynamics, Fort Worth, Texas 76101

Glenn A. Whan, Associate Professor, Nuclear Engineering Laboratory, The University of New Mexico, Albuquerque, New Mexico 87106

. . . .

56

Robert Wheeler, D362-Cl49, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, I l l i n o i s 60440

Ralph Wiley, Mail Zone Y-42, P. 0. Box 748, Fort Worth, Texas 76101

Maurice Wilkinson, The Boeing Company, M. S. 23-82, Seat t le , Washington 98124

W. R. Yucker, A-2-833, Douglas Aircraft Co., Nuclear Department, 3000 Ocean Park Boulevard, Santa Monica, California 90405

Marcello Zocchi, Reactor and Radiation, National Bureau of Standards, Washington, D. C. 20234

K. Ziock, Department of Physics, University of Virginia, Charlottesvil le, Virginia 32901

57

ORNL-4105 UC-34 - Physics

INTERNAL DISTRIBUTION

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61-70. H. W. Bertini

74. H. G. MacPherson 75-76. F. C. Maienschein

77. M. J. Skinner 78. J. E. Turner 79. R. T. Santoro 80. D. A. Sundberg 81. J. W. Wachter 82. A. M. Weinberg 83. H. A. Wright 84. B. C. Diven (consultant) 85. W. N. Hess (consultant) 86. M. H. Kalos (consultant) 87. L. V. Spencer (consultant)

EXTERNAL DISTRIBUTION

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Given dis t r ibut ion for Space Shielding and High-Energy Ac- celerator Shielding and l i s t e d on preceding pages J. A. Swartout., Union Carbide Corporation, New York, N.Y. Laboratory and University Division, AEC, OR0 Given d is t r ibu t ion as shown i n TID-4500 under Physics category

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