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Submitted on 1 Jan 1980

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DECAY MODES OF HIGH SPIN STATES IN LIGHT

NUCLEI

R. Daniel, P. Butler, A. Irving, P. Nolan, J.F. Sharpey-Schafer

To cite this version:

(2)

JOURNAL DE PHYSIQUE CoZloque C I O , supple'ment

au

n O l 2, Tome 41, dhcembre 1 9 8 0 , page C10- 155

DECAY MODES OF H I G H S P I N STATES I N L I G H T N U C L E I

R. Daniel, P.A. B u t l e r , A.D. I r v i n g , P.J. Nolan and J . F . Sharpey-Schafer.

Department o f Physics, University of Liverpool, OZiver Lodge Laboratory, P.O. Box 147, Liverpool, L69 3dX, United Kingdom.

A b s t r a c t . - The e x c i t a t i o n energy i n "Ca populated i n t h e r e a c t i o n 2 8 ~ i ( 1 6 0 , ?py) f o r a beam energy of 40 ?rev has been measured by d e t e c t i n g both protons f r m t h e r e a c t i o n . The average ~ - m u l t i ~ l i c i t ~ and d e - e x c i t a t i o n p a t t e r n of Yrast s t a t e s was measured a s a f u n c t i o n of t o t a l e x c i t a t i o n energy. The d a t a suggest t h a t f o r s t a t e s of high a n g u l a r momentum (J > 10) a - p a r t i c l e emission i s t h e dominant mode of decay.

1 . INTRODUCTION

-

T h e o r e t i c a l s t u d i e s of by y emission) i n t h e nucleus of i n t e r e s t ; t h e r o t a t i n g n u c l e i s u g g e s t t h a t a t s u f f i c i e n t l y high o t h e r i s t h e Doppler broadening of t h e y-ray a n g u l a r momentum d r a s t i c changes i n n u c l e a r shape l i n e s h a p e s due t o r e c o i l from p a r t i c l e emission, o r s t r u c t u r e might occur under t h e i n f l u e n c e of which i s l a r g e f o r l i g h t n u c l e i . I n t h e

macroscopic c e n t r i f u g a l f o r c e s and q u a n t a l s h e l l p r e l i m i n a r y experiment d e s c r i b e d here, t h e two e f f e c t s

[l11

.

A t p r e s e n t most of t h e experimental p r o t o n s from t h e 2 8 ~ i ( 1 6 0 , 2 p y ) 4 2 ~ a r e a c t i o n a t s t u d i e s of t h e behaviour of n u c l e i a t high Spin EIG0 = 4C MeV were d e t e c t e d simultaneously w i t h have been c a r r i e d o u t f o r n u c l e a r masses around d e t e c t i o n of r h e y emission, e i t h e r i n a Ge(Li) 7 0 - 1 6 0 , although a s has been p o i n t e d o u t by f o r d i s c r e t e l i n e s t u d i e s , or i n a NaI f o r y-ray Klapdor t h e same behaviour c a n be seen i n m u l t i p l i c i t y measurements. By measuring t h e t o t a l l i g h t n u c l e i . For A 40 o b l a t e r o t a t i o n about energy of t h e p a r t i c l e s emitted t h e e n t r y l i n e i n a symmetry a x i s has been p r e d i c t e d t o occur a t 4 2 ~ a can be s t u d i e d , and by s u i t a b l e kinematic J 3 8 C311 and superdeformation should occur f o r s e l e c t i o n of t h e p a r t i c l e s the Doppler broadening

J s 24 C411

.

It would t h u s be e n l i g h t e n i n g t o can be minimised and d i s c r e t e y t r a n s i t i o n s s t u d i e d study t h e y-decay p r o p e r t i e s f o r s t a t e s with

J > 10 i n such n u c l e i . 2. METHOD AND RESULTS - The experimental set-up

The aim of t h e p r e s e n t work was t o determine how much a n g u l a r momentum i s a v a i l a b l e f o r y emission f o l l o w i n g a compound nucleus r e a c t i o n l e a d i n g t o 4 2 ~ a , where t h e Y r a s t s t a t e s a r e known up t o J = 10 a t 7.5 MeV L 5 3

.

There a r e two known l i m i t a t i o n s t o t h e o b s e r v a t i o n of d i s c r e t e y t r a n s i t i o n s ( a p a r t from e n t r a n c e channel e f f e c t s ) : one i s due t o t h e e x t e n t of t h e e n t r y l i n e ( t h e l o c u s of s t a t e s s p e c i f i e d by energy and a n g u l a r momentum populated

d i r e c t l y by evaporated p a r t i c l e s and depopulated

i s shown i n f i g u r e 1 . The t a r g e t c o n s i s t e d of a s e l f - s u p p o r t i n g f o i l of 300 pg/Cm2 2 8 ~ i , enriched t o >99%. The 1 6 0 beam was stopped i n a 22 mg/cm2 Au f o i l placed i n f r o n t of t h e p a r t i c l e t e l e s c o p e . The t e l e s c o p e , s i t u a t e d symmetricaily around

o0

t o t h e beam d i r e c t i o n , c o n s i s t e d of a 250 u m AE element and a 5 m E element and subtended a t o t a l s o l i d a n g l e of 0.7 s r t o t h e t a r g e t . Events were recorded which corresponded t o c o i n c i d e n c e s between t h e E and A E d e t e c t o r s and e i t h e r a Ge(Li) d e t e c t o r of 25% e f f i c i e n c y

( r e l a t i v e to 75

nun

x 75 m NaI) placed a t 0'

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C10- 156 JOURNAL DE PHYSIQUE

F i g . 1

-

Experimental set-up.

o r a 75 mm x 75 mm NaI placed a t go0. The p r o b a b i l i t y of simultaneous d e t e c t i o n of two protons was about 8% of s i n g l e p r o t o n d e t e c t i o n f o r t h i s geometry; t h e s e events were e a s i l y s e p a r a t e d from s i n g l e p , d o r a e v e n t s by a n a l y s i n g t h e r e l a t i v e e n e r g i e s d e p o s i t e d i n each of t h e d e t e c t o r s . Since t h e c r o s s s e c t i o n f o r e v a p o r a t i o n of 3 p a r t i c l e s i s small [ 6 3

,

i t was assumed t h a t t h e d e t e c t i o n of two p r o t o n s i s s u f f i c i e n t t o determine t h e f i n a l nucleus a s 4 2 ~ a . By measuring t h e t o t a l l a b o r a t o r y energy d e p o s i t e d by t h e two p r o t o n s , t h e r e s i d u a l e x c i t a t i o n energy i n , 4 2 ~ a a v a i l a b l e f o r y t r a n s i t i o n s was determined w i t h i n a range of I MeV f o r each e v e n t . The spectrum of e x c i t a - t i o n energy

i h

4 2 ~ a i s shown i n f i g u r e 2. The mean e x c i t a t i o n energy i s 13 MeV.

I n

t h e coincidence Ge(Li) spectrum, t h e Doppler broadening of t h e y-ray l i n e s h a p e s was

reduced t o 0.3%. This compares w i t h a v a l u e of 0.8% f o r t h e s i n g l e s spectrum. I n t h i s way f a s t (r < 1 p s ) t r a n s i t i o n s which might s t r o n g l y feed t h e known Yrast s t a t e s could be observed. No evidence f o r such t r a n s i t i o n s were s e e n i n t h i s spectrum which s u g g e s t s t h a t t h e e n t r y l i n e i n t h i s r e a c t i o n does n o t extend much beyond J = 10.

The behaviour of t h e observed d i s c r e t e

F i g . 2

-

4 2 ~ a e x c i t a t i o n energy spectrum.

t r a n s i t i o n s and t h e t o t a l y-ray m u l t i p l i c i t y ( < W )

(4)

Ex curves for the discrete transitions hardly varies with their spin, and <M> is almost independent of Ex, which indicates that the entry line is nearly parallel to the angular momentum axis. This is con- sistent with the lack of states observed above 10 X together with the observed mean value of E,. Since the initial angular momentum of the compound nucleus

Fig. 3

-

(a) Intensity (normalised to particle singles) of 4 2 ~ a transitions (energy in keV) versus excitation energy (b) Total gamma-ray multiplicity versus excitation energy.

as deduced from total fusion cross section measure- ments [8] extends to 17 X, it is likely that inter- mediate states with J > 10 decay predominantly by a emission. Since a emission efficiently removes

angular momentum no higher spin states are observed in the residual nucleus ( 3 9 ~ in this case).

Statistical model calculations performed using the computer code GROG1 [g] indicate that the branching ratio from a compound nucleus state with J = 16 of the 2p channel relative to the mp channel is 10%. Our measurements indicate that this value is an over-estimate.

3.

CONCLUSION

-

The present results indicate that the difficulty in observing discrete tran- sitions from states in light nuclei

(A

?. 40) with

J > 10 originates from a premature termination of the entry line. This termination appears to be caused by competing a emission. It therefore seems unlikely that the predicted structural changes in light nuclei at high angular momentum can be studied by y-ray spectroscopy unless more sensitive te'chniques are developed.

ACKNOWLEDGEMENTS

-

This work was supported by the U.K. Science Research Council. P.A.B. acknow- ledges the receipt of a S.R.C. Advanced Fellowship and R.D., A.D.I. the receipt of S.R.C. studentships for the period of the work. We thank Joe Reynolds for providing the targets used in the experiments.

REFERENCES

[ l

] Bohr,

A.

and Mottelson, B.R., J. Phys. Soc. Japan

2

(1978) Suppl. 157

C 2 1 Klapdor,

H.V.,

Proceedings of the

XXIX

(5)

c10- 158

JOURNAL DE PHYSIQUE

[3]

iberg, S. and Leander, G., Nucl. Phys.

A332

[6] (1979) 365

C 4 1

Cohen, S., Plasil, F., Swiatecki,

W.J.,

C73

Ann.

of

Phys.

82

(1974) 557

(53

Eggenhuisen,

H.H.,

Ekstrsm, L.P., Engel-

bertink, G.A.P. and Aarts, H.J.M.,

C81

Nucl. Phys.

A305 (1978)

245

1191

Freeman, R.M., Haas, F., Heusch,

B. and

Lee, S.M.,,Phys. Rev.

@

(1979) 569

Tjdm., P.O.,

Espe, I., Hagemann,

G.B.,

Herskind,

B. and Hillis, D.L.,

Phys. Lett.

(1978) 439

Jordan, W.J., Maher, J.V. and Peng, J.C.,

Phys. Lett.

(1979)

38

Grover, J.R., and Gilat,

J.,

Phys. Rev.

157 (1967) 802

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