boiling al1uclcust - rmf.smf.mx · tllo'ie parlicles which pullch illrough lhe sicollnler...

5
REVISTA MEXICAr\A I)E FISICA -1-1 StTl'l.E:\IE:"T( 12. I02-]O(l Boiling a l1uclcus t E.C. Pol!aeco!,t, J. Br/.yeherykl.:.!, C. Volanl!. R.I.l:grain 1 . and L. Nalpas l 1 (D\ DA PN IAlSl'hN, C/; .)(/('/"r, Y11 Y1 (;l/'m,.- h'('II(' CUJEX, 1-'1<111<''' :.! Inst. afPllys .. lagiel10llilm Vllil' .. 3()-05/.) Krakou: Po/ami D.S. BraL'kell. K. Kwiatkowski. K.B. ~lorley. E. Rellsha\\" Foxfonl. V.E. Viola. and N.R. Yodcr !Jc¡". o/CllclII. ,'V /l/CI-: /m/imw VI/h' .. H/OOII/ÚlgfOIl. IN..f7.J05, USA R.G. KorteJill~ Dept. ofCllclJI .. Sill/IJI/ Fm.W'r l/nil'., UI/mohy, Uc. COl/odo H. Breuer De/JI. o/ Phys .. Unil'. {~lM(lry/a/ld. Col!ege I'(ld. Mn :!.07-12. l/.",'r\ .l. Gomer del Campo Gllk Ridge f\ltlfiOlw/ Lo/wl"l1rory. (Jo/" Nitlg('. lN3783/. USA .l. ClIgJlOIl Uni\'. de Uge, II/sr. tle l'hysh¡lle. H-..J()(}() I.ige ¡. Rclgilflll RCl..'ihidoel) d~ ft'hr~nl de 1l.Jl.JH: an'pta,hl cl3 de rnarlO dc 19 l )X ()CTI'HRE ]l)'J¡¡' In lhl' rl'allipl1 '~H~ + A~ hol Iludci are formcd wilh excitalioll energic." dO"l' lo lhe IOlal binding ell!.'rgy A rclali\"cly large proportion of lhe',' l'\l'nls lleca) lea\"ing a hl'a\'y frJgmenl and light partidcs. Thc"e C\1,'I1I"1I;1\'C;lllllOlllllultifraglllentalion charactcr. ¡"'I'\'Wlml.\": ["uplln)J[sUp<ltT]lt_ .lsupon]3Isup<lffl.lc_ .ISIIP{lllj-l-lsuPlllflllc, imluced rC;lctl(lll" 1':11 la rl'arción'.IHc + Ag, se forman Iludcns calicnlcs con encrgía de cxrilaciún l'crcana a la cJlcrgí;1 de amarre lotal. Ulla propon..'ióll 1"l'lati\'dl1l!.'lltl' grande de estos evenlo\' decae dando lugar a un fragmento pcsado y p;lTIícuJa..,ligeras. Estos fragmcntos poseen un car:Íl'lcr llO Il11J 11 i fr;lgllll'lllario. ¡ k,¡'n¡'/(Irt's: RealTi{lllCSInducidas [sup<mI31'-lIp<lfflll_ . (Sllp<H1IJ[ sUPlllT]lle_ . I "llp{lIll-l-l supoff)ll(' 1',v'S' 25.70.l'q: 2555.-e 1. IlItroductiulI Tllc sludy nf tinile lluclei undel" extremc condilioIlS are undel" .... lud\. Acmcs ocing exploilCd rangc fmm angular l11omen- 1ll1l1.iS{lSpin. E' as \velllow and high dCIlSilics. In this papel' Wl'rOn"iilkr. in particular. tlle Iimils 01"cxcitation ellergy. E'. This pmhlel11 is an old (lIlC 11,21 and queslions \\.'hether 'the rollisioll k'¡¡d to an explosioll 01"the wholc lluclells'. Fralllcd 111 .... 1l111L'w!lal dil"rcrcnllerms. we enquirc. up lil! what E* can \\'L' raisL' a nuclcus such that Ihe probabilily 01' survivallO an l'\ plt I"i\c-like proccss (mullifragmcntalion) becomes slllall. The principIe Jifficulty ¡hat is eIlcounlereu in sludies 01' hOI 11 llC1l'i is 10 isolalC lhe dynamics 01"Ihe healing process I"rom Ihe properties 01"hot maller ilself: Whal woulJ he iJeal is 10 hL'ahle lo ~elect cvents wilh known inilial mass, charge, an- gular 1110IllL'ntulIlal Ilormal dCllsilY amI with sphcrir:al shape (nol !tI cnhance a specilic decay channel). From theoretical I"l',lCliun lIlcchanism slUdies 12-11 we bclieve Ihe largd can 111..' di .... lurled ¡in position amI lIlolllenlul11 spaL'c). Thcse dis- ItlrliOllS can he atlenualed though an approprialc choice ot projcclilc and illcidcll1 energy. The use of pinns. tlnti-prolons ¡¡lid L'ncrgetic lighl projcctilcs is a step towards rcaching opti- mal c{lndiliollS 1;11. \Vilh nc\\' data that is hecoming acccssihlc comparalive studies could he l:xtendeo 12]. Thc usc of Iight ions as projccliles to deposit large E" has a ll11mher of aovantages (sl1orl rcaction timcs, no COI11- pressioll. "mal! angular 11l0ml'lltulll, singlc source ele.) [2..jl. HmVl:VL'r ti Ilumoer nI' dinicllhiL'~ rclated ro earl]' dynamics per."ist 1:\1. lhe papel" hy Colon na ef (JI. H] invcsligatc Ihis l[lIcslioll ror Ihe system lindel' study. :{~k + Ag. Using ill- tr<lllllc!l'ar cascadc, INe, and ¡¡slOchastic onc-body approach lhey shm\' Ihal rOl"Ag targd and ;{He projeclilc for encrgies up lO -LX (¡eV. Ihe Illlcleus is shape resilient. Thal ¡s. although Ihe ll11clCllSis initially dcforlllcd by ti Illoving wakc, it very rapidly (ShO flll/c) regains. in mosl cases. its original shapc. From lhese calculatiolls \ve L'llllclude Ihat lhe 1"orlhe rcac- liolls al I.X CieV Ihe enlrance :Illlllinal channcl are relatively dccollplcd :llld that arre!" ti hrief lime thl: systclll can he repre- sellled as tl hot Iluclear sphere al normal dcnsily. Theorclical prediL'tions ror pn:-cl[llilibrillll1 eflecIs are ShOWll lo he small al Ihis ineidl'1l1 cnergy I:.n 111 lhis \\'ml\. the dala i" eOlllpared 10 a l\\"o stcp Illodel where \\"e eouple. e\'ent-hy.e\'ellt. <l1lI NC calculation I G] wilh ,111L'\'aporalive eode. SIt\10N 171. The INC cho(lses randomly

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Page 1: Boiling al1uclcust - rmf.smf.mx · tllo'ie parlicles which pUllch Illrough lhe SicOllnler (Z:S"::0. (iii) Anacli\'e collimalor was cmployed 10\'elo lhe healll halo parlicles delecled

REVISTA MEXICAr\A I)E FISICA -1-1StTl'l.E:\IE:"T( 12. I02-]O(l

Boiling a l1uclcust

E.C. Pol!aeco!,t, J. Br/.yeherykl.:.!, C. Volanl!. R.I.l:grain1. and L. Nalpasl

1 (D\ DA PN IAlSl'hN, C/; .)(/('/"r, Y11 Y1 (;l/'m,.- h'('II(' CUJEX, 1-'1<111<''':.! Inst. afPllys .. lagiel10llilm Vllil' .. 3()-05/.) Krakou: Po/ami

D.S. BraL'kell. K. Kwiatkowski. K.B. ~lorley. E. Rellsha\\" Foxfonl. V.E. Viola. and N.R. Yodcr!Jc¡". o/CllclII. ,'V /l/CI-: /m/imw VI/h' .. H/OOII/ÚlgfOIl. IN..f7.J05, USA

R.G. KorteJill~Dept. ofCllclJI .. Sill/IJI/ Fm.W'r l/nil'., UI/mohy, Uc. COl/odo

H. BreuerDe/JI. o/ Phys .. Unil'. {~lM(lry/a/ld. Col!ege I'(ld. Mn :!.07-12. l/.",'r\

.l. Gomer del CampoGllk Ridge f\ltlfiOlw/ Lo/wl"l1rory. (Jo/" Nitlg('. lN3783/. USA

.l. ClIgJlOIlUni\'. de Uge, II/sr. tle l'hysh¡lle. H-..J()(}() I.ige ¡. Rclgilflll

RCl..'ihidoel) d~ ft'hr~nl de 1l.Jl.JH: an'pta,hl cl3 de rnarlO dc 19l)X

()CTI'HRE ]l)'J¡¡'

In lhl' rl'allipl1 '~H~+ A~ hol Iludci are formcd wilh excitalioll energic." dO"l' lo lhe IOlal binding ell!.'rgy A rclali\"cly large proportion oflhe',' l'\l'nls lleca) lea\"ing a hl'a\'y frJgmenl and light partidcs. Thc"e C\1,'I1I"1I;1\'C;lllllOlllllultifraglllentalion charactcr.

¡"'I'\'Wlml.\":["uplln)J[sUp<ltT]lt_ .lsupon]3Isup<lffl.lc_ .ISIIP{lllj-l-lsuPlllflllc, imluced rC;lctl(lll"

1':11la rl'arción'.IHc + Ag, se forman Iludcns calicnlcs con encrgía de cxrilaciún l'crcana a la cJlcrgí;1 de amarre lotal. Ulla propon..'ióll1"l'lati\'dl1l!.'lltl'grande de estos evenlo\' decae dando lugar a un fragmento pcsado y p;lTIícuJa..,ligeras. Estos fragmcntos poseen un car:Íl'lcr llOIl11J11ifr;lgllll'lllario.

¡k,¡'n¡'/(Irt's: RealTi{lllCS Inducidas [sup<mI31'-lIp<lfflll_ . (Sllp<H1IJ[sUPlllT]lle_ . I"llp{lIll-l-lsupoff)ll('

1',v'S' 25.70.l'q: 2555.-e

1. IlItroductiulI

Tllc sludy nf tinile lluclei undel" extremc condilioIlS are undel"....lud\. Acmcs ocing exploilCd rangc fmm angular l11omen-1ll1l1.iS{lSpin. E' as \velllow and high dCIlSilics. In this papel'Wl' rOn"iilkr. in particular. tlle Iimils 01"cxcitation ellergy. E'.This pmhlel11 is an old (lIlC 11,21 and queslions \\.'hether 'therollisioll k'¡¡d to an explosioll 01"the wholc lluclells'. Fralllcd111....1l111L'w!laldil"rcrcnllerms. we enquirc. up lil! what E* can\\'L' raisL' a nuclcus such that Ihe probabilily 01' survivallO anl'\ plt I"i\c-like proccss (mullifragmcntalion) becomes slllall.The principIe Jifficulty ¡hat is eIlcounlereu in sludies 01' hOI11llC1l'i is 10 isolalC lhe dynamics 01"Ihe healing process I"romIhe properties 01"hot maller ilself: Whal woulJ he iJeal is 10hL' ahle lo ~elect cvents wilh known inilial mass, charge, an-gular 1110IllL'ntulIlal Ilormal dCllsilY amI with sphcrir:al shape(nol !tI cnhance a specilic decay channel). From theoreticalI"l',lCliun lIlcchanism slUdies 12-11 we bclieve Ihe largd can111..'di ....lurled ¡in position amI lIlolllenlul11 spaL'c). Thcse dis-ItlrliOllS can he atlenualed though an approprialc choice otprojcclilc and illcidcll1 energy. The use of pinns. tlnti-prolons¡¡lid L'ncrgetic lighl projcctilcs is a step towards rcaching opti-

mal c{lndiliollS 1;11. \Vilh nc\\' data that is hecoming acccssihlccomparalive studies could he l:xtendeo 12].

Thc usc of Iight ions as projccliles to deposit large E"has a ll11mher of aovantages (sl1orl rcaction timcs, no COI11-pressioll. "mal! angular 11l0ml'lltulll, singlc source ele.) [2..jl.HmVl:VL'r ti Ilumoer nI' dinicllhiL'~ rclated ro earl]' dynamicsper."ist 1:\1. lhe papel" hy Colon na ef (JI. H] invcsligatc Ihisl[lIcslioll ror Ihe system lindel' study. :{~k + Ag. Using ill-tr<lllllc!l'ar cascadc, INe, and ¡¡ slOchastic onc-body approachlhey shm\' Ihal rOl"Ag targd and ;{He projeclilc for encrgiesup lO -LX (¡eV. Ihe Illlcleus is shape resilient. Thal ¡s. althoughIhe ll11clCllS is initially dcforlllcd by ti Illoving wakc, it veryrapidly (ShO flll/c) regains. in mosl cases. its original shapc.From lhese calculatiolls \ve L'llllclude Ihat lhe 1"or lhe rcac-liolls al I.X CieV Ihe enlrance :Illlllinal channcl are relativelydccollplcd :llld that arre!" ti hrief lime thl: systclll can he repre-sellled as tl hot Iluclear sphere al normal dcnsily. TheorclicalprediL'tions ror pn:-cl[llilibrillll1 eflecIs are ShOWll lo he smallal Ihis ineidl'1l1 cnergy I:.n

111 lhis \\'ml\. the dala i" eOlllpared 10 a l\\"o stcp Illodelwhere \\"e eouple. e\'ent-hy.e\'ellt. <l1lINC calculation IG] wilh,111L'\'aporalive eode. SIt\10N 171. The INC cho(lses randomly

Page 2: Boiling al1uclcust - rmf.smf.mx · tllo'ie parlicles which pUllch Illrough lhe SicOllnler (Z:S"::0. (iii) Anacli\'e collimalor was cmployed 10\'elo lhe healll halo parlicles delecled

Hl lILl:'\G A NUCLEUS lO]

Illl' illlpaCl paraIlletl'l" and lhe calclllation is sloppl'd al JOf1J1/CH]. Each c\'L'nl gel1craled hy lhe INC cnde cOlllainsa ....ingle primar)' rcsidue (i.t'. hefore cvaporation) aú'olllpa-nil'd hy parliclc cascade (pions and nllcleolls), INC gives, thelIIass, char~e, recoil \'elocily. angular 1ll0lllentlllll antl E' 01the primar)' residue, Al lhe incidenl energy of I,X (jcV lheI~' spectrum is rvlaxwellian like wilh a mean E* (JI"approxi-malely .100 i\1cV Also al I.X GeV, thc mass Spcctrulll is prac-lically indepenJent 01' E* ami has a mean \'aluc nf 95 amu.Tllc <l\'CragL'angular 1ll0mCnl1l1ll is slllall (,.....,20 /1). TllL' Illorc1\'lTnl \"Crsion 01' SIMON ust:s a forlllalislll simibr to thaluf Charity ('1 al. {SI, Thc level dCllsity parallleler L'lIlpluyedwa ..."cl at 1/13. For cOIllparisolls shown hL'l"ein lhe ,!,!L'IlL'l"aledl'\'L'nl'\ ¡¡re liltereJ hy the l'.\perimelllal angular í.:o\'L'ragc. en-L'l"gythresholds and energy loss orthe heavy fragmellts in thetílrgL'1. To allow a fair eomparison Ihe same opcralions antl...oll\\"<ln: condilions are applicJ as olllhe dala.

2. Experimental setup

TIlL' L'xperilllCn! was perl"orllled al thc Lahoraloirc NationalSalurne. Sacia)', Frailee. lIsing :fHe heam at I.X, 3.(l and..LX (;c\'. Inlhis papel' only the lower energy dala sl..'l \ViII hL'discllssed. The largL'1 was !lat Ag 01' lhickncss I.m; IIIglcm:2.Thl..'e\ peri Illenlal SL't-up, <.1'\discussed here. consisted í.)f IhrccP;lrlS: (i) To detccl IIF a circular hodoscope. DELTA, \vasL'lIlplo)'ed, which includcd 30 high field Si deleclors. TheIargel-dclcclor Ilight palh \Vas appro.xilllate 60 em and CO\'-crcd ;Ingles hetwecn 5 lo 11)0. (ii) Light charged particles.I.ep. (Z = I and 2) ílnJ inlcrmediale mass rragrnents. IMF.(í: ::....~())\••..crc delected in an arraycallcd ISiS [!JI \vhicll con-lains I ()2 Iriplc deteclor lelescopes in a light gcoJl1clry. EachlL'k....ct llx' is CtIIllP()scd of a gas ionisalion t:halllher. le. a rull)deplcled 500 III iOIl-implanled si¡icon deleclor and a 2:-: lIllll(\;1('1'1) cryslal. The geolllelrical <lt:ceplance is 70/'; ;llld Ihecnngy thrcsholds were lower lhan I A,Me\'. The charge, Z,fesoilltion ranged IIp lo 20. Mass resolution is ohlained fortllo'ie parlicles which pUllch Illrough lhe Si cOllnler (Z :S" ::0.(iii) An acli\'e collimalor was cmployed 10 \'elo lhe healll haloparlicles delecled in ISiS.

3. Data anal)'sis

Thc analysis 01" lhe ISiS and DELTA data consisted princi-pally in Ihe calihralion with alpha sources, precisioll pulsers.lime calihrators and punch through dala. For ISiS lhis gave anovcrlay 01' praclically al! two-dimcnsional cllergy loss spee-Ira (/~'j(' X ESi and ESi X E( 'si) . The scleclion nf mass andchargc rol' the LCP, and chargc rol' lhe I1\1Fs \vcre done hydrawing appropriate galcs. The EH: ESi have a dislincl hutlInidelllilied group 01'parlicles. a fraclion 01' which could arise11'011Iresiducs (Ir lission. Inclllding 01' rl..'llloving evellls wilh aparticle in this band does nol changc lhe results givcn herc.

The HF llIass, m¡¡SSIlF'. and vclocily t1í..'tectcd in DELTA\\'erc compuletl from Ihe lime oelweell DELTA anJ ISiS alld

ellcr,t!Y ll\e;[SllrelTlents, Corrcclion dlle lo lilllc delay 110]¡¡nd L'IlL'rf!YlkfL'ct [1JI are includcd. The Ialler was achievedIhrough a coillL'ident sl..'l-UP lIsing slowed down fission frag-Illenls frolll a :'!;,:2cr s(Juree in ¡¡ separale IIlcasurel11enl. Vcloc-ily and el1ergy thresholí..ls belter then 0.3 cm/ns anJ 2.5 t\kVrespeclivel)'. \Vc remark thal in lighl iOIl induced reactionsil is l~xpe(led Ihat the highest yield 01"HF should he 1"01'lIlass\'aluL's closL' tI) lhat orlhe largclll:!]. }fowc\'crlhe mean l11assdclCí..'lcd in I>I:LTA \vilh a Illinilllal hias trigger is approxi-lIIaleJy (15 alllll, This is largely tille 10 the cnergy loss in thelargcl <llltl Ihe L'llergy 1l1reshold in DELTA. The simulalionssho\\'s thal approximtllly 4{YX of the gcneralcd panicles wilhmass in lhe range 01"4() lo 5.5 alllll are Ilot detccled in DELTAtille lo Ihe í..'olllhined L'fkclS (lf lhe targel and lhrcsholJs.

4. Thermal energ~.

As Ilolcd earlicr lhe lIleasurahJe pi.lrallleters which charac-terise hOI lluclei are ••pi lo be perturocd by the dynamies ofthe hcaling process, The lherlllalisalioll process is very rapid(60 I"IIl/c). Within l!lis lime tlle ellergy in lhe nuclear volull\eis lhL'l"Inalised 1l1rou,!,!hnucleoll-nucleoll collisiolls bUl \I,:ilha IlL'I ellcrgy loss lhrollgh the emissioll oí" prc-equilihrilllI1,l1l1CkOIlS and cOlllposile'\. The angular dislriolllion of lheseparticlc.s are for\\'ard pL'aked and their speclra eXlencl up loIhe heam vclncity, This fasl process leaves a primary !leavyI"raglllenl \vllich '\uhse(juently generales lower ellergy parti-cles. Thus lllL' resulting kinL'tic cnergy speClra show a su-perirnpositioll of lhe fast antl slnw lIlechanisllIs which rorIhe prcsent reaclion is signalled hy a changc in slope wilhdetL'L'ted ener~y Il;{. 1.11. To cx(ract lhe primary Illass, Alh.cl1argL" ¿tI! alltlll1L'1"lIlal ellergy. EtlJ, 01' lhe source rOl"cache\'L'nt, only Ihose partirles with kinelic cnergies belo\\' givcnlhreshotds \VL're consitlereo. Nalllely, a sharp cUI-off is as-SllIIlC, This crileria although coarse was sludied using theINC+SIf\.10N+FlLTER silllulalor \','hkh shows a linear sl..'al-ing hCI\\'ccn the np('f"im(,fl1O El1, amllhe calculaled cllergywill1 INC. Sllltlics using the presenl Jala ano lhe abo ve crile-ria arc givell hy !\ lorley ('( al. 1141

Thc lhermal energy uf events wilh a miniJ1lUlll bias inISiS and \vhich included a HF (mass greater than IOamu)in DELTA \\'ere cOlllp"led. The principal corrections whichwerc inlroduccd are lhe following ; (O Ihe delct:lor accep-tancc. This includcs lile eftkiency as a function of chargeand mass 1'01' lo\\' encrgy particles. Thc effkiellcy correc-lions \l/cre L'sl;lhlished wilh lhe aid of INC + SIMON andIhe tleleclor lilter. (ii) By far lhe largesl portion to the E*is the eontrihulioll frolll lhe Ileulron. The mean energy perneulroll !\'n as ;[ fUllclion 01' El.h was calculaled using theeode L1L1TA 1).')1. (iii) To ohlain lhe tOlal mass amI chargeper evenl. lhe mass (lf the IMFs was reaJ off from a tahle(Ir lIlass versus charge which lakcs inlo account lhe cvap-onllioll rrocess. A similar proeedurc was applieJ lo ohrainIhe charge 01' the HF. The thennal qllantilies were calculaledhy slllllllling ovcr lhe particle kinetic cnergy, l1Iass. chargeallí.! (¿-vallle ....((ji) L'vclll-hy-event. In lhis analysis lhc sum

RCl: A1l'.\. 1-",\. 4-l S2 (1l)l)X) I02-IO(}

Page 3: Boiling al1uclcust - rmf.smf.mx · tllo'ie parlicles which pUllch Illrough lhe SicOllnler (Z:S"::0. (iii) Anacli\'e collimalor was cmployed 10\'elo lhe healll halo parlicles delecled

EC I'IH.L.ACCtl('fill

jl'Clinf!, oul the rl'coil \'l'Iocity spectra ror lhe HF masscs inIhL' range uf 45 lo 50 ;1Il1llshu\Vs thal il has mean vallles 0.5clll/ns, cOllsistenl wilh cakubled values. Below this massrauge no lo 40 :ll11u) lhe vclocily speclrum shows ;¡ rela.li\'cly Itat dislrihulioll \\'ith lo\\' statistics. Thercfore lo C011-,ider thc corresponding ('\citat ion ellcrgies \ve adopt a highermass \Vindo\\'. fmm 4:' lo 50 amu. Neverthe.Jcss. Fig. I (i)

'llggests thal wilhin ,(atistil:s. thl..' uppcr Iimit ror f. is ap-pro\imalely 8 ¡-\i\kV as onl' would expect from simple con-"ideraliolls. Placing the adoplL'd lI1,hS winuow and projecl-ing Ihe f. spectrum gi\'l's Fig. 2 (shaueu curve). The meanvalue for this projeclion corresponds lo £',11/ I3 01' (l.?? ThedasllL'd curve is Ihe res~lIt of the simulation ami demonslralcsIhallllL' llIean is \\'eJl reproduccd.l\tlore signifkanlly_ il showslhal Ihe width (Jf the dislrihllliol1 is qualitled. indicating agll(ld underslanding (lj' Ihe underlying proccsses. C(l1nparingIlu: extracIL'd value of E11J IJ wilh systematic from hcav)'ion indllced reaction, shows thal lhe rresent reslllt is 22'Xhighcr llt;1. HO\\'C\Tr it i" importanllo add thal these ,ystCll1-alic werc nol pL'rrorllll'd t1sing 4ií gcolllctrical coverage.

'1'0 ohlilin a IllCílSllre tlf thc prohahilily, \ r("{lIllp [ 171 ror alIUl'lCllS lo survivc ll\lF elllissioll. and lhererore lIpper limilhlr lllullirraglTlclltatil)ll. l\Vll hmllulalions \Verc cmployed:The tirsl Illethod does not inl'lude DELTA inrormation, 11as-sumes thal at th~ (. hcing considcred Ihe vaporisation parti-lion is Ilegligihle ami Ihal l'\'enlS wilh .\lI!\lF ::::;O ami (on-dilioned hy recollslrucled lllaSSIlF are rcpresentative nf lhe1\ ""11I1'. So Ihe nUlllhcr 01' l'Vl'nls Wilh (-. in 5.X-6.3 A,~1eV..\11:\11-" = ()amI \\'ilh 11l:l.SSIlF~rcaler than 30 amu is ohtained.This \'alue i, norlllillised hy IlJc numher 01' evenls. d. wilh Ihc"alIJe f' rangc hut \1,.'ill1no reslrilinl (In .\lI!\lF and 11IassllF.Afler l.OITCclioll rOl"lhe ;ll'l'eptanl"e tlf ISiS thc prohahility isO.Y). The sL'cond lIlellJod 1'01lnll'd Ihe Ilumher (JI' events inDEI.TI\ with .\lP..1F := (J. bUlll,ing the samc algorithmlo cal-

o 10 20 JO 40 ' O 60 70 80 90 100

;\I••ss (amul

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-'lIc(I.S(;cV)+A¡: (Dala);\l(iml)=ll

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E ,o~o ,

)

In ¡:i~. I a plot is givell or the deleCled panicles in DELTAí1'" ., rlllll'lioll 01" (-. illlposing thal lhe 1l\1F Illultiplicily.i\tl~l1.' = (l. \Ve note ¡¡ numher 01"fcalmes, Tlu: largesl yieldi" rOl"l'venls wilh mass 01' approximalely 65 amu. Thc island;lt high cxcilalion '" 9 A.l\leV correspond to events when:11ll' IU.' is nol detcclcd in DELTA. The trend traccd from lowIII h;gh l'\(ilalioll is wcll represl'nted hy lhe simulalion. Thert.'((all~k is drawn lo have a centre at Eth / [J corrcsponds 10so'X. Thl' widlh and height 01' Ihe reclangle represent Ihe fuI!I:Wllrvl rOl"Ihe mass and fO rcsolution respectively. The lal-Il'r "tlIUl' was extraelcd using the simulaliol1. Releasing lhel"lllldition 011 the JJ1MF shows Ihat ror Ihe window on l' =(¡-X :\.l\.kV 11ll' rraclion 01' events wilh .¡\In..lF grealer Ihan oin Il1i, rl'gion. corrccled rOl"Ihe crticicncy. is approximtllclyI :,IX. TlJl"C l~lFs have charge dislritmlion wilh a maxillllllll;It -' and wilh a yield which falls rapidly \'o'ith chargc. This...IHI\\' Ihat Ihe loss 01' mass fromlhe HF hy IMF emission forclllldilions in Fig. I is nol Iarge,

As ,uggested by Fig, l. 10 extrael highcr EO ('vcnts it isI;lvorahll' lo nlllsidcr cvcnts wilh 10\\1residualmasses, How-l'\'l'r l'hoosing a lower mass window raises Ihe queslioll {JI\\'l1al is 11ll' loWCSI mass ami still he ah le 10 caH it a rcsidue'!A!so. (hc HF l'venlS must ha ve properlics which are consis-lcnl wilh \I/hat is expecled rmm all evaporative residuc. Pro

5. Rl'slIlts ami disClIssioll

\\ ;1' e¡¡rricl! OH;r heav)' residue and all 1!\1Fs. For LCPs lile...u111 \Vas L'\tcnded over particks wilh kinetil' cncrgies, I\"¡

\\ !lidl arc below 25 .. ~2. :W, 54. and 61 MeV for /). d, 1,:I k .111d lile rcspcctivcly, The II1L'nnal tOlal charge, ¿th'

,:!i\l'S Il1l' l(lIa! mass. "\111 hy assullling í1n Ztll/A'h rali() inlill' v;lIle)' pf slahilily. Suhlracting lile tOlal detecled lIIasslnllll '\Ih gin's lile numhcr 01' Ihermal neulrnns. NII• The1I11'rlllal L'llcrgy. (-" = E1h/A'h was ('lllnplIlCd frollllhe SUIIl:I- TI1 Sil (¡\'u + (Ju) +~(/\'¡+ (JI) over (he lhermal partidcs;llld l'olTl'l"lcd ror lile eftlciellcies, This analysis shows a con-...Ianl :Ilh = LJ.::! \\'ilh E. grealer Ihan 250 MeV which is con-...i"ll'nl \\'ill1 ,hl' INC calclllations. Thercfore a secollu method\\'<1"de\'l'loIll'd and adopted. where Al h am.l Z,h are assutlledalHl giVl'll by lhe INC calculations. In ¡his rormulationlile d-liril'ney cOlTectioll was nol elllployed amI lhe missing mas,illld rllargl' ílml rorresponding l.'lll:rgies were assulllcu lo arisl'pl1ly fl"illll I.CP" in the sallle propon ion as lllL' detectcd parti-ell's inllll' cvcnl. PCrf(JrI11ing silllUlatiolls \vith lhis proccdures...1I0\\', Ihal Ihc givell hy INC is wel! reproduccd. The rorlllcrIlll'thod Icuds lo give large \\.'idlhs in the rO ohscn'¿¡hlc.

:\bll <l11alyseu are thosc events where DELTA did nol de~ll'l't;¡ IIF. The thermal energy ami mas s of the residualnlas",i...l';¡klll;l1ed using a similar algorilhm as ahoye with a lixcdprilllary IlIass <Ind correction ror ISiS acceplanee. The nonIkll'l'll'd particles are also asslll1led lo arise only fmm LCPsin lIJe same proportion as Ihe dClecled particles in the cvenl.lJsing lhis prescripliollS for cvents with HF in DELTA showslllal lhl' re({lnslructed maSSIlF reproduces well lhe Illeasllrl'd\allll .•.•.

ReJ'. Ml'.\. FI"-".. U S2 (1'll)X) 102-106

Page 4: Boiling al1uclcust - rmf.smf.mx · tllo'ie parlicles which pUllch Illrough lhe SicOllnler (Z:S"::0. (iii) Anacli\'e collimalor was cmployed 10\'elo lhe healll halo parlicles delecled

HOILlNG A NUCLEUS 11I5

Sacl. E2Z8

'11«1.8 G<V) + A~ (Dala)

Residu< (A = 45.50)

1.5 2 2.5 J 3.5 4 4.5 5

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FHiU1U:2. Experimenla! f' speclrlllll wilh lhe indicatcd rnass win-do\\'. The dashcd curvc rcprcscllls the sirnulalioll.

II\lF Mulliplicily

clllall' l' as in lhe prcvious melhod and wilh Ihe samer,lIIgc. This valuc is nonnalised hy ¡j for the appropriale nLJIll-her 01' n:cortkd evenls and cOITeeled ror lhe angular distrihu-tion <l1ll1largel elfecls using lhe INC+EVAP+F1LTER. This11ll'lhod giws a 1'.'''1111' 01' (l.:!5. Tlle di1ference in prohahili-liL.... i" atlrihllll'd lO thc 1I1lcertainlics relaled lo lhe largel allllIhreshold C(lITel"lions. Perrorllling Ihe same analysis huI wilh.\/1:-"11' = ti ¡¡nd I shows Ihal lhe 1\'l'OlllP inerease almoslhy a faclor t\\'o. Thl'rdorc ir we acknowledge lhal nuclei atE111/ IJ ""' SOl/{ can evaporate an IMF we can conclude Ihalat lhese excil,llion encrgies 1ll11llifragmenlalioll is [lol ¡¡ dOIll-inant process. This result is consistent \l,'ith Cioldenhalllll ('l

l/l. [.-,] CIllllparing these results wilh those 01' Gross el al [181and BOI\'in<l el {l!. 1:2. lG] for a similar nuclei sho\\'s lhat thel'alculatiolh undcreslilll<lle lhe evaporalin~ component by alIcasl a factor \11'l¡ve. This is ¡¡ large discrepancy.

An analysis nf Ihe 4.X (leV dala for llw same syslcm wasl'ondllcled. The dala shows similar lrends as 1'01'lhe I.X (leV,The eXlraclioll 01' lile 1\"('''1111' at the same (' shows a signili-cant dl'LTeaSe 01' approximalcly a factor of two. This ilH..IicalesIlJat at lhis incidenl ellergy a Illeasurahk dislorlion 01' lhe ell-trance challllcl is preselll. It is perhaps important to point oullhal al 4.X (leV il has also heen sho\\'n that a saturatioll in E*occurs [[:1. 1.11.

Tlle INC eode on jls {)Wll shows ¡¡ good descriplion 01'Ihl' dala in Ihal il reproduces Ihe I~" .saturation wilh ill-cúknl l'lll'rgy 111] ;1', \Vell as Ihe 1Il1lltiplicity in lhe for-\Vartl <Ingles, Further. lile cOlllparison \JI' lhc dala wilhINC+ EVAP+ F1ITER dCl1lonSlrate.s thal Ihe ncutron. Lep

F](,URE 3. Prohahilily rOl the IMF IllUlliplicity <..lata(solid his-logral11).The lllO(!('I prcdiL"liollSme givcn hy Ihe dashed hislOgralll.

alld lt\lF lllultiplicilies (sl'C Fig, 3) alld thc charged partideskinelic CIlL'rgy .spcc(ra are \\'cll reproduced II!J]. This resultproposcs Ihal lhe. nllc!L'oll "'YSll'lll at Iligh /:" can still choosea scqlll'lllial hinar)' del'ay. Howe\"er il is importanl to considertha! lile IllCilsurelllents L'oITespolld lo average s over long dis-inlegralion chains, Therel"ore lhe cl':lIparison mighl nol heneccssarily sensitive 10 lhe altcralions of lhe tlecay pattern.especiaJly at the earl)' stagcs 01' the process, Specillcally. theprcsenl \'l~rsioll of the INC calL'ulaliolls do not t1ireclly takeil1to ;]ccounl lile elllissioll 01' cOlllposite which are presenl inlhe dala.

h. Cnnc!usinns

In conclu.sioll. \Ve repon 011 all experimental sludy DI' :lHe(I.X GeV) + Ag where HF are delecled at low vclocily illcoincidencc with LCP ;¡nd IMFs. The LCP and IMPs wcredelec(ed in a 4 cOllliguralioll with [o\\' cnergy lhreshold. Fastprolons \vere a[so delecled in lhe forward direcliotl, On lhewhole lhe dala is \Vel! desnihed by lIJe INC plus cvaporalioll.AI1<llysis is givcn 01' evenls al high ¡:;' wllL'rc Ihe exit cllanllclCílllSisl uf single heavy fraglllclll ~lL'Compallil'd hy esselltia[lylighl parlidcs. Tllese l'vellts reach values 01' El1J IJ equallo77% wilh 111; h,l\'L' lIlaSSl'S of "'7 alllu. Estimates of lhe rcl-¡¡tive yield al lllis L'l1l'rgy is al Icasl 25',:{ and shmvs thal nll-c1ei (1\ .....•lOO ;lllllll arc lloll'asily dcslahilisL'd hy signific~l1ltamounls 01' Ihl'l"Inal energ)'.

RCI: .\ln. ¡:¡s...•..•S2 (1t.J9H) I02-10ú

Page 5: Boiling al1uclcust - rmf.smf.mx · tllo'ie parlicles which pUllch Illrough lhe SicOllnler (Z:S"::0. (iii) Anacli\'e collimalor was cmployed 10\'elo lhe healll halo parlicles delecled

1116 EC !'{ )I.L:\("( '() ('I4I!

E\[1nlll11'llI pcrt(llllll'd al [he Lahoratoire ~ational Saturllc.

l'r:IlIll..'

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'\ HIlIII. Saf/trI' 1.\7 (11).~(¡l34'¡~i\. Buhr amI J. \\'heelcl. So.[//1'1,3(1 (lt}~ht -l.211

.!. .11' HPlltlOl1 ,'fíll."hl.\. I<l'¡¡.157(19lJ5) 133.

(j. \\';Ill¡': I'f l/I., I'hl',\. 1<1'1'.e -12 (1996) 667.

\1 ('0101111.1, J. ('u~llon. and E.e. Pollacco. Plly.\. Ni'I'. 55(1(}lnll ..Hl-l

'. ". Kwi;lt"owsl\i. XXXV Uorm;o COI!/{>rC'/I("C, ]997: F Goldl'll-halllll d of.. ¡'!lrs. Rf'\'. LI'II. 77 (1 ()X6) 1230,

(i, .1,('ll~Jl()n. ¡\1m'!. 1'11\',\', A -ti,2 (llJX7) 751.

- 1> 1)\Ir<lnd. NII!'!. I'hr.\. A 5 ..•1 (11)92) 26(1.

.'"'. R.J. ('ilarily ('/ (1/" N,/CI. Phys. A .n(. (J9XH) 516

~J " "\\i:lll-.(I\\''ol\¡ ('1tll.. ,Vlld. III.H/: ,\/l'lf¡ods A Jtlll ( 191)5)).

I() 11() 'l'H,kl ;llld 11 Ikn"l'hd. Xlld. '''-ltI: .11i'I"ml.l 17X ([(}I»))

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J:! S H K;1I111l1;ln ;llld El' Sll'illh('rg.I'f¡r.1 R{'\". C.2.2 (llJXO) Ih7

]:\ E. Rl'lll"h;)\\ ¡:oxford l'f of.. 1'/¡r,1 Nel'. e 5~ (1995) 749

1I KB !\lorh:y 1" 01.. J'hrs. Ll'f[ U JS5 (ll)lJ5) 52.

1;) J. (iollll'l lid Call1rO /'1 al .. ¡)".'"s. Nl'I'. e 41 (llJ91) 26XlJ.

](j S. Ll.'ray. J. ¡f1.¡'/n'.\' e 4 (1IJX(I) 275.

17. A Holvill<t. A.S IIjinov. amI 1. rvlishustill. NI/d 1)11\".1'.A 507(1{)(}2) fl-l1J

]S n,H,!:. (i]llss. Nl'I" ¡'rog, I'lin. 5J (I()()(l) (lO).

1!J E.e l'ollaccoI'/(/I.. XXX\'UorllllOcUf!férl'llCt'. IlJl)7 .

Re!: Me.\'. Fú. -t4 S2 (llJl)X) I02-IOlJ