Supported by the National Science Foundation and Indiana Universit

Collins, S.

Devins, D.W.

Flanders, B.S.

Friesel, D.L.

Jones, W.P.

Officer, V.C.

Shute, G.G.

Spicer, B.M.

Breton

IUScholarWorks

STUDIES OF KNOCK-OUT REACTIONS 
D.W. Devins, D.L. F r i e s e l ,  W.P. Jones ,  and B.S. F landers  
Indiana University CycZotron FaciZity, BZoomingtun, Indiana 47405 
B.M. S p i c e r ,  V.C.  O f f i c e r ,  G.G. Shute,  and S. C o l l i n s  
Melbourne University, ParkviZZe, Victoria 3052, AustraZia 
We have cont inued o u r  program of r e a c t i o n  mecha- t o r t i o n  on t h e  incoming and outgoing waves. I n  such 
nism s t u d i e s  us ing  t h e  (p,2p)  r e a c t i o n .  E a r l i e r  a  k inemat ic  r e g i o n  t h e  knock-out r e a c t i o n  should be 
s t u d i e s  examined two-step processes1 and t h e  f a c t o r i -  a b l e  t o  d i f f e r e n t i a t e  between c o n t r i b u t i o n s  t o  t h e  
z a t i o n  approximation.  * I n  t h e  c u r r e n t  y e a r  we have c r o s s  s e c t i o n  from p u r e l y  d i s t o r t i o n  and those  r e s u l t -  
s u c c e s s f u l l y  brought t h e  two-telescope hyperpure 
germanium counte r  system3 on l i n e  and have taken 
i n g  from t h e  improper s p e c i f i c a t i o n  of t h e  o v e r l a p  
i n t e g r a l .  
p re l iminary  d a t a  t o  i n v e s t i g a t e  whether o r  n o t  d i s -  I n  o u r  f i r s t  run  we chose t o  i n v e s t i g a t e  t h e  
t o r t i o n  e f f e c t s  can be  s e p a r a t e d  from d e f i c i e n c i e s  ' O C ~ ( ~  ,zp)  3 9 ~ * ( 2  .52,1/2+) r e a c t i o n  a t  Ep=150 MeV and 
+- 
i n  t h e  s p e c i f i c a t i o n  of t h e  n u c l e a r  wavefunct ion i n  1 1 =lo0  MeV/c. These kinematic  c o n d i t i o n s  a r e  n e a r  
t h e  DWIA. t h e  node i n  t h e  2s  wavefunct ion,  b u t  s t i l l  r e s u l t  i n  
I n  t h e  Fac tor ized  D i s t o r t e d  Wave Impulse approxi-  a  reasonable  c r o s s  s e c t i o n  (5-50 u b / s r 2 - ~ e ~ ) .  We 
mation (DWIA) , 4  t h e  c r o s s  s e c t i o n  i s  given by used t h e  f i x e d  c o n d i t i o n  geometry of ~ a c k s o n , ~  i n
sLJz  IT^^^^, 
Spins 
which and A=El/ (E1+E2) a r e  f i x e d  and e 3  ( t h e  a n g l e  
of if with  r e s p e c t  t o  t h e  i n c i d e n t  beam) i s  v a r i e d  i n  
where K is  a  kinematic  f a c t o r ,  sLJ is t h e  spec t ro-  o r d e r  t o  maximize t h e  s e n s i t i v i t y  of t h e  t e s t s .  
s c o p i c  f a c t o r  f o r  t h e  p a r t i c u l a r  f i n a l  s t a t e ,  T  is The f i r s t  r e s u l t s  were q u i t e  encouraging,  b u t  
P  P  
t h e  proton-proton m a t r i x  element and GLJ i s  t h e  d i s -  r a t h e r  l i m i t e d  i n  s t a t i s t i c s ,  p a r t i c u l a r l y  a s  went 
t o r t e d  momentum d i s t r i b u t i o n .  The l a s t  f a c t o r  c o n t a i n s  beyond 60'. Now t h a t  t h e  set-up and o p e r a t i o n  of t h e  
t h e  n u c l e a r  bound s t a t e  in format ion :  two-telescope arrangement i s  w e l l  developed, a d d i t i o n a l  
runs should be produc t ive  enough t o  produce high- 
s t a t i s t i c s  d a t a .  
where t h e  xi r e p r e s e n t  t h e  incoming and outgoing 
A 1 )  D.W. Devins e t  a l . ,  A u s t r a l i a n  J o u r n a l  of Phys ics ,  
d i s t o r t e d  waves and rnLJ i s  t h e  n u c l e a r  o v e r l a p  i n t e -  - 32, 323 (1979). 
g r a l  between i n i t i a l  and f i n a l  s t a t e s .  T y p i c a l l y ,  2) P.G. Roos e t  a l . ,  Phys. Rev. L e t t .  9, 1439 (1978). 
A rnLJ is  es t imated  by c a l c u l a t i n g  t h e  Woods-Saxon 3) D.L. F r i e s e l ,  t h i s  r e p o r t .  
p o t e n t i a l  r e q u i r e d  f o r  t h e  c o r r e c t  b i n d i n g  energy.  
For an R#O knock-out a t  ;=o ( i .  e  . , t h e  momentum 
t r a n s f e r  e q u a l  t o  ze ro)  t h e  c r o s s  s e c t i o n  should 
4)  G.  Jacob and Th.A.J. Maris ,  Rev. Mod. Phys. 38, 121  
(1966) 
5) A.A. Ioannides  and D.F. Jackson,  Nucl. Phys. A308, 
345 (1978). 
be ze ro ,  excep t  f o r  t h e  e f f e c t  of t h e  n u c l e a r  d i s -  


Studies of Knock-Out Reactions

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Studies of Knock-Out Reactions

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