This work was supported by the National Science Foundation Grant NSF PHY 81-14339 and by Indiana Universit

Anderson, B.D.

Baldwin, A.R.

Flanders, B.S.

Foster, C.C.

Halderson, D.

Madey, R.

Nann, H.

Stephenson, E.J.

Tandy, P.C.

Watson, J.W.

English

IUScholarWorks

SPECTROSCOPY WITH THE (d,n) REACTION AT 80 MeV 
C.C. Foster,  H. Nann, and E. J. Stephenson 
Indiana University Cyclotron F a c i l i t y ,  Bloomington, Indiana 47405 
R. Madey, B.D. Anderson, J.W. Watson, A.R. Baldwin, P.C. Tandy, and B.S. Flanders 
Kent S ta te  University, Kent, Ohio 
D. Halderson 
Western Michigan University, Kalamazoo, Michigan 
I n  an i n i t i a l  exploratory study which was intended 
t o  e s t a b l i s h  the f e a s i b i l i t y  and usefulness of the 
(d,n) react ion a t  IUCF energies as  a spectroscopic 
t o o l ,  cross-section angular d i s t r i b u t i o n s  f o r  
11g(d,n)12c, 2 7 A l ( d , n ) 2 8 ~ i  and 4 8 ~ a ( d , n ) 4 9 ~ c  were 
measured a t  Ed = 80 MeV i n  0°<8<500. Figure 1 shows 
counts versus e x c i t a t i o n  energy a t  zero degrees 
f o r  each of these cases. Energy resolut ion of about 
300 keV was achieved. Time resolut ions a t t a ined  
appear t o  be poorer than expected. Additional work is 
planned t o  improve time resolution. 
DWBA ana lys i s  with DWTJCK~~ is  being performed t o  
e x t r a c t  spectroscopic f a c t o r s  f o r  selected s t a t e s  
exci ted i n  each of these reactions. The f a c t o r s  
obtained a re  being compared with those from previous 
( 3 ~ e , d ) ,  ( L X , ~ )  and (d,n) measurements. It is found 
t h a t  good f i t s  t o  the angular d i s t r i b u t i o n s  out t o  
about 40 degrees a r e  a t t a i n a b l e  with reasonable 
parameters i n  DWUCK4 and t h a t  zero and near-zero 
degree data ,  which is e a s i l y  obtained i n  (d,n), is  
important f o r  determining low R t r a n s f e r  s t rengths  
(espec ia l ly  f o r  2-0). 
As examples of t h i s  work, r e s u l t s  of the ana lys i s  
"B (d, n) I2c 
100 Ed = 80 MeV f 
of the llB(d,n) reac t ion  t o  the 12c ground s t a t e  and EXCITAT ION ENERGY (MeV) 
the  27~1 (d,n) reac t ion  t o  the 2 8 ~ i  ground and f i r s t  
Figure 1. Exci ta t ion e n e r y  spectra  a t  O.1° f o r  the 
exci ted s t a t e  a t  1.78 MeV is presented. Figure 2 shows react ions 4 8 ~ a ( d , n ) 4 9 ~ c ,  ~ l ( d , n ) ~ * ~ i ,  and 11B(d,n)12c 
a t  80 MeV incident  energy. 
the measured l lB(d ,n )  2~ ground s t a t e  angular 
d i s t r i b u t i o n  compared t o  the r e s u l t s  of a DWUCK o p t i c a l  model parameters from Comfort and K.arp, and 
calculat ion.  Deuteron o p t i c a l  model parameters were the wavefunctions a r e  from Cohen and k r a t h O 4  A 
obtained from Daehnick, Childs and Vrcelj  , * neutron spectroscopic s t reng th  [(2J+1)Sp] of 5.9k0.6 f o r  t h i s  
R=1 t r a n s f e r  is obtained. Table 1 compares the  present  
r e s u l t  with previous measurements and a t h e o r e t i c a l  
predic t ion.  
Figures 3 and 4 show measured angular 
d i s t r i b u t i o n s  i n  2 7 A l ( d , n ) 2 8 ~ i  r eac t ions  a t  80 MeV t o  
t h e  ground and 1.78 MeV s t a t e s  compared t o  the  
appropr ia t e  DWUCK ca lcu la t ions  (deuteron OMP from 
Daehnick, neutron OMP from Olmer , and wavefunctions 
from Wildenthal and ~ c ~ r o r ~ ~ ) .  The s i l i c o n  ground 
s t a t e  is a O+ s t a t e  populated by an R=2 proton t r a n s f e r  
i n t o  the  ld5/2 s h e l l .  The ca lcu la ted  R=2 shape is seen 
t o  agree with the  shape of the  measured angular 
d i s t r i b u t i o n .  Exc i t a t ion  of the  1.78 MeV s t a t e  occurs 
l o 4 4 1  DATA POINTS 
IP,, S. FACT * (2J+I) =5.86 1 
CENTER OF MASS ANGLE 
by both R=O and R=2 proton t r a n s f e r s  a s  i s  seen i n  Fig. 
4. Notice how d i f f i c u l t  i t  would be t o  determine the  
r e l a t i v e  R=O t o  R=2 con t r ibu t ions  i f  the  two po in t s  
near  zero degrees were unavai lable  a s  they a r e  i n  most 
o the r  s tudies .  
Table 2 compares t h e  spectroscopic  f a c t o r s  from 
one 27Al(d , n ) 2 8 ~ i  measurements f o r  these  s t a t e s  wi th  
those from previous s t u d i e s  and a s h e l l  model 
ca lcu la t ion .  Nearly a l l  t he  s h e l l  model s t r e n g t h  is 
observed f o r  the  ground s t a t e  i n  con t ras t  t o  the  
r ecen t  r e s u l t  of A. Djaloeis  e t  a1. , 7  who repor t  seeing 
only 40% of the  ground s t a t e  s t r e n g t h  i n  t h e i r  
2 7 ~ 1 ( 3 ~ e , d ) 2 8 ~ i  s t u d i e s  a t  130 MeV. 
DATA PTS 
- CROSS SECTION FIT 
Id,,, S. FACT* (2J+I) = 5.29 
0 0  
''0 10 20 3 0  4 0  5 0  6 0  
CENTER OF MASS ANGLE 
Figure 2. Ground s t a t e  angular d i s t r i b u t i o n  f o r  the  Figure 3. Ground s t a t e  angular  d i s t r i b u t i o n  f o r  t h e  
r e a c t i o n  I l ~ ( d , n ) ~ * ~ .  r e a c t i o n  27Al (d ,n )28~ i .  
129 
DATA PTS 
h 
2S,,* S. FACT* (2J+l)=2.53 
CENTER OF MASS ANGLE 
Figure 4. Angular d i s t r i b t u i o n  of the  1.78 MeV s t a t e  
i n  2 8 ~ i  from the reac t ion  27Al (d ,n )28~i .  
Analysis is proceeding f o r  o the r  s t a t e s  of 
i n t e r e s t .  It is  c l e a r ,  however, t h a t  (d ,n)  r eac t ion  
s t u d i e s  a t  IUCF a r e  f e a s i b l e  and y i e l d  i n t e r e s t i n g  
spec t roscop ic ' r e su l t s .  
Table I. Spectroscopic s t r eng ths  G(n1.j) = (2Jf + l)Sp f o r  Proton s t r i p p i n g  
t o  the  ground s t a t e  of 12c. 
Reaction Einc (MeV) Reference 
(d,n) 11.8 4.18 G.S. Mutchler e t  al., Nucl. Phys. A172 
469 (1971). 
5.9 present  experiment 
3.2-6.56 P.D. Mi l l e r  e t  al., Nucl Phys. A136 
229 (1969). 
4.25 G.M. Reynolds e t  al., Phys. Rev. C 3 
442 (1971). 
Theory -- 5.7 S. Cohen and D. Kurath, Nucl. Phys. 
A101 1 (1967). 
-
Table 11. Spect roscopic  s t r e n g t h s  G(nRj) = (2Jf + l)Sp f o r  proton s t r i p p i n g  
t o  s t a t e s  i n  
React ion  & (MeV) G(nRj ) Reference 
g.s. 1.78 MeV 
--- 0.84 -- B. Lawergren e t  a l . ,  Nucl. 
Phys. A106, 455 (1968). 
3.0 1.86 0.84 W. B o h n e e t a l . , N u c l .  Phys. 
A131, 273 (1969). 
-
5.29 2.53 1.03 p re sen t  experiment 
5.88 4.32 0 J. K a l i f a  e t  a l . ,  J. Phys. 
1.92 9.12 ( P a r i s )  34, 139 (1973). 
6.39 3.68 -- S. Martin,  Ph.D. t h e s i s ,  
Univ. of Heidelberg,  W. 
Germany, 1968, unpublished. 
37.7 5.28 4.56 0.84 R.W. Barnard and G.D. Jones,  
Nucl. Phys. A108, 641 (1968). 
130 2.64 -- --- A. Dja loe i s  e t  a l .  , Phys. 
Rev. C 26, 797 (1982). 
( a , t )  25.2 6.96 1.2 2.4 V . M . L e b e d e v e t a l . , N u c l .  
Phys. A298, 206 (1978). 
27.2 5.28 2.52 2.04 0.F. N e m e t s e t a l . ,  Ukr. 
Fiz .  Zh. 22, 246 (1977). 
64.5 9.2 3.4 2.4 M. Yasue e t  al., Nucl. Phys. 
A391, 377 (1982). 
-
104 12.1 10.7 --- G. Hauser e t  a l . ,  Nucl. 
Phys. A182, 1 (1972). 
Theory -- 6.36 4.56 0.66 B.H. Wildenthal  and J.B. 
McGrory, Phys. Rev. C 2, 
714 (1973). 
"Best --- 6.4 2.65 2.05 P . M . E n d t , A t . D a t a a n d  
Values" Nucl. Data Tables 19, 
23 (1977). 
1 )  DWUCK4, P.D. Kunz (unpublished);  Extended 4) S. Chen and D. Kurath, Nucl. Phys. A101, 1 (1967). 
Version, J.R. Comfort (unpublished).  
5) C. Olmer, p r i v a t e  communication. 
2) W.W. Daehnick, J.D. Chi lds ,  and 2. Vrce l j ,  Phys. 
Rev. C 2, 2253 (1980). 6) B.H. Wildenthal and J.B. McGrory, Phys. Rev. C 1, 
714 (1973). 
3) J.R. Comfort and B.C. Karp, Phys. Rev. C 2, 2162 
( 1980). 7) A. D ja loe i s  e t  dl., Phys. Rev. C 26, 797 (1982). 


Spectroscopy with the (d,n) Reaction at 80 MeV

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Spectroscopy with the (d,n) Reaction at 80 MeV

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