Effect of core deformation on 17 B halo nucleus
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NUCLE I Theo ry
Effe c to f Co re De fo rm a t ion 17 ∗ on B H a lo Nu c leu s 1) 1) W a leedS . Hw a sh1),2)**, Redzuw anY ahaya ,and Shah idanRad iman
R e c e i v edJu l y16 ,2013
Ab s t ra c t—Th i ss tud ya im edt oin v e s t ig a t eth etwo -n eu t ronh a lonu c l eu so f17Bu s ingth ec lu s t e r mod e l . 15 Th ein t e r a c t ionb e tw e enth etwon eu t ron sandd e fo rm edco r e Bw a st r e a t eda sar ig idro t o rw i tha d e fo rm ed W ood s–S a xonpo t en t i a landasp in–o rb i tin t e r a c t ion . Th eth r e e -bod yd e s c r ip t iono fth e17B 17 nu c l eu sw a sc a r r i edou tu s ingth eJ a cob icoo rd in a t e sm e th od .Th eth r e e -bod ys y s t emo f Bw a sd e s c r ib ed w i thth eh yp e r sph e r i c a lh a rmon i cm e th od . Th eth r e e -bod yen e rg y -d ep end en tonth ed e fo rm a t iono fth e co r ew a sa l sos tud i ed . Th eb ind ingen e rg y ,m a t t e rr ad iu so f17B ,andd e fo rm a t iono f15Bw e r ec a l cu l a t ed b yno rm a l i z a t ionandb yu s inge xp e r im en t a ld a t a . Comp a r i sono fth er e su l t sw i the xp e r im en t a ld a t a d emon s t r a t edth ed e fo rm a t iono fth eco r e ,e sp e c i a l l yo fth ep ro l a t esh ap e s . DO I :10.1134/S1063778814020094
INTRODUCT ION
t e r mod e l[11 ]o f17Bnu c l eu s ,andin vo l v e sd iffe r 1 3 i -n eu t ron+ d i -n eu t ronconfi gu r a t ion s . en t B+ d i Th eg en e r a to rcoo rd in a t em e thod w i th 13B + d n eu t ron+ d i -n eu t ronc lu s t e r si sg en e r a l l yu s edto c l eu s .Th e13Bw a v e fun c t ion sa r e d e s c r ib eth e17Bnu a l socon s t ru c t edb a s edonth e1 psh e l landth eco r e e x c i t a t ion sonth eh a rmon i c -o s c i l l a to r mod e lw i tha l l po s s ib l econfi gu r a t ion s . Th ep a r i t yandto t a langu l a r ro j e c t ionh a v ea l sob e ens tud i ed . mom en tumo f 17Bp Th em a t t e r RMSr ad iu sandqu ad rupo l e mom en to f 17Bh 2 a v eb e enfoundtob e2 .81fmand2 .74efm, fi gu r a t ion r e sp e c t i v e l y ,e x c lud ingth e15B–n–ncon [11 ] . R enand Xu[12 ]condu c t edr e s e a r chonth e 17Bg rounds t a t eu s ingath re e -bod y mod e lin vo l v ing r eandtwoou t s id en eu t ron s . Though R en a15Bco 1 7 ,i ti s and Xue xp l a in edth el a rg e RMSr ad iu so f B s t i l ld i fficu l ttor e l i ab l yc a l cu l a t eth i sb a s edona15B+ nin t e r a c t ion . Th esh e l l -mod e lsp e c t rumo fs e v e r a l bo roni so top e sh a sa l sob e enu s edb yW a rbu r tonand B rown[13 ] .
W i thth ead v en to fn ewt e chn o log i e sand f a c i l i t i e s , num e rou swo rk sh a v eb e encondu c t edtoa ch i e v en ew in s igh t sinth es tud yo fnu c l e if a rf r omth eβs t ab l e i , 14B e ,and l in e . E xp e r im en t a l wo rk s[1 –3 ]on11L 17B l igh tnu c l e ih a v eshownabn o rm a l l yl a rg eroo t m e an squ a r e(RMS )r ad i i ,wh i cha r ea t t r ibu t edtoth e h a loeffe c t[4 ] . Th eh a loph en om enoni sd e s c r ib eda s th eth r e sho lde ffe c t , wh i cho c cu r sinloo s e l ybound s y s t em s wh e r eth ep a r t i c l e sa r eh e ldinsho r t
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