Study of scattering of deuterons
from 11B
N. Burtebayev
Almaty
Julie 3 2015
The purpose of the project:
Experimental and theoretical study of the structure of
the excited states, including the halo-state neutron-riched
of 11B from the analysis of the scattering of charged
particles.
Project objectives:
Measurement of differential cross sections for scattering of
deuterons and alpha particles in the nuclear isotope 11B in a wide
angular range.
An analysis of the differential cross sections for elastic scattering of
deuterons and alpha particles by nuclei 11B in the optical model and
coupled-channel method.
Evaluation of the contribution of the transfer of alpha-cluster in to
cross section of alpha-particle scattering on nuclei of B11
Isochronous cyclotron U-150M.
In 1972 he transferred to the isochronous mode with controlled ion energy protons: 6-30 MeVdeuterons: 12-25 MeVions of helium-3: 18-62 MeVions of helium-4: 25-50 MeV.
Heavy ion accelerator DC-60
With modes accelerating heavy ions with an energy of 0.3 MeV to 1.75 MeVper nucleon for nuclei of lithium to xenon
Nuclear physics
Investigations of nuclear reactions mechanism and structure
of light and middle nuclei in range of low and mean energies
Investigations of exchange reactions and radiation capture
for astrophysical applications and problem-solving in thermo-
nuclear fusion and thermonuclear plasma diagnostics
Investigations of inclusive cross-sections of nuclear reactions,
related to establishment of nuclear-power facilities
of new generation (ADS)
Experimental data on transuranium elements fission yields,
occurring in hybrid nuclear facilities
Search of neutron halo in ½+ excited state of 13C and 9Be
7/2-
5/2-
3/2-
1/2+
5/2+
π-band σ-band
0.0
2.0
4.0
6.0
8Be+n
0.00 1/2-
3.09 1/2+
12C + n
13C
9Be
h2/2J 0.525 0.386
Fig. from T.Togashi et al.,
Int. J. Mod. Phys. E17 (08) 2081
3/2+
7/2-
5/2-
3/2-
1/2+
5/2+
π-band σ-band
9Be + α, Eα=35.5 MeVData from R.J.Peterson
Neutron halo in 9Be*
h2/2J 0.525 0.386
10 20 30 40 50 60 7010
-3
10-1
101
103
cm
dd
(m
b/s
r)
1.68, 1/2+
x 10
3.05, 5/2+
x10-1
0.00, 3/2-
x 10
E, MeV, Iπ Rdif, fm Rrms, fm
0.00, 3/2- 5.18 ± 0.03 2.37
1.68, 1/2+ 6.38 ± 0.14 3.50 ± 0.15
2.43, 5/2- 5.25 ± 0.05 2.42 ± 0.07
3.05, 5/2+> 6.3 > 3.1
6.38, 7/2-5.27 ± 0.13 2.39 ± 0.14
0 20 40 60 80 100 120 140
0
50
100
150
200
14
.08
MeV
12
.71
MeV
10
.84
MeV
9.6
4 M
eV7
.65
MeV
4.4
4 M
eV
Gro
un
d s
tate
11B(a,t)
12C
780
Nu
mb
er o
f co
un
ts
Channel number
Exemplary energy spectra
products of nuclear reactions
Typical ΔЕ-Е -distribution of charged
particles
Lower locuses - singly charged
particles, the upper – double-
charged..
0 50 100 150 200
0
1000
2000
3000
4000
5000
6000
7000
co
un
ts
channel
g.s.
12C g.s.
2,125 MeV
4,445 MeV
5,02 MeV
6,742 MeV
7,285 MeV
0 20 40 60 80 100 120 140 160 18010
-2
10-1
100
101
102
103
104
1/10
*10
27.7 MeV
13.6 MeV
d
/d
[m
b/с
р]
с.м.
[angle]
14.5 MeV
11B(d,d)
11B
E
MeV
Type V
MeV
rv
fm
Av
fm
W
MeV
Rw
fm
Aw
fm
2/
13.6 А 80.70 1.17 0.993 33.94 1.322 0.516 32.33
14.5 В 86.8 1.17 0.993 7.040 1.322 0.945 30.17
27.7 С 83.13 1.17 0.844 16.251 1.322 0.813 27.7
0 20 40 60 80 100 120 140 160 180
1x10-5
1x10-4
10-3
10-2
10-1
100
101
102
103
104
105
d
/d
[m
b/с
р]
ÑÌ
, angle
6.743 MeV, 7/2-
4.445 MeV, 5/2-
11
B()11
B
E=40 MeV
g.s., 3/2-
The symbols - an experiment; solid line
- calculations for OM and the coupled
channel method.
Calculations are made with inelastic
deformation parameters:
β2 = 0.4; β4 = 0.1
0 20 40 60 80 100 120 140 160 180
100
101
102
103
E*= 6.743, 7/2 -
E*= 4.444, 5/2 -
G.s., 3/2 -
d
/d
[m
b/с
р]
с.м.
[angle]
14.5 MeV
11B(d,d)
11B
The problem of obtaining optical potentials from scattering data is greatly complicated
by the fact that in many cases the behavior of the cross sections in addition to the
potential effects of the mechanism of influence of nuclear structure, as well as the
effects of coupled channels method.
For example, in the case of interaction of helium nuclei with light nuclei with a
pronounced cluster structure is observed anomalous scattering back, not inexplicable
optical model.
20 40 60 80 100 120 140 160 18010
-1
100
101
0.0 Ì ýÂ, 1+
2.18 Ì ýÂ,3+
E=50,5 MýÂ
6Li(,)
6Li
c.ц.м.
, ãðàä
d
/d
, ì
áí/ñ
ð
20 40 60 80 100 120 140 160 18010
-3
10-2
10-1
100
101
0.0 Ì ýÂ, 1+
2.18 Ì ýÂ,3+
Eh=60 MýÂ
6Li(
3He,
3He)
6Li
с.ц.м.
, ãðàä
d
/d
, ì
áí/ñ
ð
The experimental angular distribution of scattering processes
alpha particles and ions 3He on nuclei 6Li
0 20 40 60 80 100 120 140 160 180
Eh=60 MeV
103
100
101
10-1
10-2
102
102
0.0 MeV,3/2-
Eh=42MeV
7Li(
3He,
3He)
7Li
d
/d
, м
бн/с
р
с.ц.м.
,град0 20 40 60 80 100 120 140 160 180
Eh=50MýÂ
102
100
101
10-3
10-2
101
10-1
102
10-4
103
Eh=60MýÂ
9Be(
3He,
3He)
9Be
d
/d
, ì
áí/ñ
ð
ñ.ö.ì ., ãðàä
The differential cross sections for elastic scattering of 3He ionson nuclei 7Li and 9Be
symbols - the experimental data and the dashed line calculation of the optical
model with the potential V, dashed - the calculation of the cross sections of
heavy disruption to the same potential, solid line - the sum of the two sections.
Spectroscopic factors derived from the analysis of experimental data on elastic and inelastic scattering of 3He and alpha-particles
on nuclei 6Li, 7Li and 9Be
The contradictions of theoretical and experimental spectroscopic factors for the excited states
may have different reasons - it is used by the internal inaccuracies of the wave functions of the
nuclei of lithium, a possible contribution to the response of more complex processes, such as the
transfer of multiple clusters or replacement mechanisms described triangular diagrams.
А Ex,
MeV
J Configuration Sexp Stheory
6Li7Li9Be
0
2.185
0
0.478
4.63
0
0
0
1+
3+
3/2-
1/2-
7/2-
3/2-
3/2-
3/2-
2S(+d)
2S(3He+t)
2D(+d)
1D(3He+t)
2P(+t)
2P(+t)
(+t)
2S(3He+4H)
3S(+5He)
2P(3He+6He)
1.39
0.5
0.5
1.14
1.03
0.26
0.28
0.26
1.0
0.22
0.93-1.07
0.5-0.9
1.0
1.0
1.19
1.0
1.0
0.81
0.236
The contribution of transfer of clusters in the cross section of nuclear
reactions
-20 0 20 40 60 80 100 120 140 160 180 20010
-4
10-3
10-2
10-1
100
101
102
103
6Li(d,d
0)
6Li,
14.7 MeV
- experimental
data
- ser. A
- ser. B
- ser. C
- ser. D
c.m.
[deg]
d/d
[mb/
sr]
0 50 100 15010
-2
10-1
100
101
102
103
d/d
, м
б/с
р
11
B +
E = 40 МэВ
осн.сост. 3/2-
0 50 100 15010
-2
10-1
100
101
Ex= 4.445 МэВ
5/2-
The experimental method of determining the cluster formations in nuclei in elastic interactions
20 40 60 80 100 120 140 160
10-1
100
101
102
103
104
105
d
/d
, [м
бн
/ср
]
с.ц.м.
, [град]
12C(
16O,
16O)
12C
E16O
= 28 МэВ
Abnormal rise section at large
angles (more than 1000)
in the elastic scattering due to
the transfer of alpha-cluster
from the incident particle (16O)
to the target nucleus (12C).
transfer
alpha-cluster
Angular distributions of tritons from
the reaction 7Li(d, t)6Li,
corresponding to transitions to the
ground (1+) and first excited (Ex =
2.186 MeV (3+)) states of 6Li nucleus.
Squares - experimental points. Curves
- calculations with OM 2: Solid
curve - all couplings are taken into
account, dashed curves - all couplings
in the 7Li(d, t)6Li process but without
the contribution of α-particle transfer,
dotted curves - transfer mechanism
with α-particles exchange in the7Li(d, 6Li)t reaction. Dashed-dotted
curve - calculation of the reaction7Li(d, t)6Li without coupled channels
processes (distorted waves with a
finite radius of interaction).
The contribution of the transfer of t - cluster in the cross section of nuclear
reactions of boron-11
20 40 60 80 100 120 140 1600,1
1
10
d
/d
[m
b/с
р]
c.m.
11
B(d,t)10
B
Ed lab.
= 14.5 MeV
0 20 40 60 80 100 120 140 160 180 200
10-2
10-1
100
101
d
/d
[m
b/с
р]
g.s.
c.m.
E=40 MeV11
B(a,t)11
B
Thank you for attention!