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SU3 fractional parentage in the 1p-shell
C-107 COMI)UTER PIIYSICS COMMUNICATIONS 2 (t971) 420-426. N O R T H - H O L L A N D PUBLISHING COMPANY
SU3
FRACTIONAL
PARENTAGE
IN
THE
lp-SHELL
J. M E Y E R , R . S . N A H A B E T I A N , J. J O S E P H a n d J . L A F O U C R I E R E Inslilul de Physique Nucl('aire, -13 Boulct'ard du 11 m~t'entb;'e 1918, 69 Villcttrbanne, France R e c e i v e d 23 N o v e m b e r I!)70 R e v i s e d m a n u s c r i p t r e c e i v e d ti J u l y 1971
PROGRAM
SUMMARY
Title q t p r o g r a , t (32. c h a r : l c t o v s m:lxinlum): IPStlEL1, SU3 FI{ACTIONAL PAIiENTAGE Calalootte m t m b c r : ABOL C'ompuh'v lbr which lhe p r o g r a m is designed and others ttpmt which il is operable Computer: CDC 6600. lnstallalion: S.I.A. I n t e r n a t i o n a l , A g e n c e de I.yon ( F r a n c e ) Operating s y s l e n t or monitor umh'r tvbich the program is excctded: CDC Scope 3.2 P r o g r a m m i n g languages used: FORTRAN tligh speed More required: 19 905 w o r d s . N o . o f bits in a word: 60 Is Ihe p r o g r a m overlaid? No No. of m a r , c l i o lapcs required: Nolle Whal other p,'ripherals art' used? C a r d R e a d e r : Line P r i n t e r for D r i v e r No. of cards in combined program attd h'st deck: 1468
K e y w o r d s d e s c r i p t i v e of problem and method of solution: N u c l e a r . A t o m i c . N u c l e a r S p e c t r a A t o m i c S p e c t r a . A t o m i c S t r u c t u r e . SU3. F r a c t i o n a l P n r e n t a g e Coefficient. Nalure of the physical problem U s i n g E l l i o t t ' s SU3 m o d e l we c a l c u l a t e the f r a c t i o n a l p a r e n t a g e c o e f f i c i e n t s (F P.C.) o c c u r r i n g in m a t r i x e l e m e n t s for v a r i o u s m - p a r t i c l e s o p e r a t o r s (m = 1 , 2 , 3,4) anti in r e d u c e d widths of the p - s h e l l nuclei for d e u t e r o n s , t r i t o n s and O~-particles.
Nuclear Structure.
Typical running time T h e ak, e r a g e c a l c u l a t i o n t i m e s a r e : l e s s than I m s e e for the n ] n - t c o e f f i c i e n t s , about 30 m s e c for the n ] n - 2 , b e t w e e n ~00 and 700 m s e e for the n J n-3 and about 2 s e e for the n | n - 4 o n e s . T h e t e s t r u n (including c o m p i l a t i o n ) r e q u i r e s 26 s e c on the CDC 6600 c o m p u t e r .
Method of solution T h e ( l ~ n { ] p n - l p ) F . P . C . g i v e n by J a h n and van W i e r i n g e n [t] a r e t a b u l a t e d and the (pn {[pn-2 p2), (pn{ [p n-3 p3) and (pn {Ipn-4 p4) c o e f f i c i e n t s a r e c a l c u l a t e d u s i n g the Smirnov and C h l e b o w s k a e x p r e s s i o n s [2]. We u s e a m o d i f i e d v e r s i o n of T a m u r a ' s s u b r o u t i n e s [3,4] for the g e o m e t r i c a l c o e f f i c i e n t s which a p p e a r in t h e s e f o r m u l a s . Unusual.features of the program B e f o r e the c a l c u l a t i o n , the c o r e of the c o m p u t e r m u s t be c l e a r e d (control c a r d LOC(100,107 700).
Refe rellce$ [1] H. A. dahn and H. van Wieringen, Proe. Roy. Soc. A209 (1951) 502. [2] Yu. F. Smirnov and D. Chlebowska, Nucl. Phys. 26 (1961) 306. [3] T. Tamura, Oak Ridge National Laboratory. Report ORNL-3877 (1965). [4] T Tamura, Computer Phys. Commun. i (1970) 337.
SU3
FRACTIONAL
PARENTAGE
IN
THE
lp-SHELL
J. M E Y E R , R . S . N A H A B E T I A N , J. J O S E P H a n d J . L A F O U C R I E R E Inslilul de Physique Nucl('aire, -13 Boulct'ard du 11 m~t'entb;'e 1918, 69 Villcttrbanne, France R e c e i v e d 23 N o v e m b e r I!)70 R e v i s e d m a n u s c r i p t r e c e i v e d ti J u l y 1971
PROGRAM
SUMMARY
Title q t p r o g r a , t (32. c h a r : l c t o v s m:lxinlum): IPStlEL1, SU3 FI{ACTIONAL PAIiENTAGE Calalootte m t m b c r : ABOL C'ompuh'v lbr which lhe p r o g r a m is designed and others ttpmt which il is operable Computer: CDC 6600. lnstallalion: S.I.A. I n t e r n a t i o n a l , A g e n c e de I.yon ( F r a n c e ) Operating s y s l e n t or monitor umh'r tvbich the program is excctded: CDC Scope 3.2 P r o g r a m m i n g languages used: FORTRAN tligh speed More required: 19 905 w o r d s . N o . o f bits in a word: 60 Is Ihe p r o g r a m overlaid? No No. of m a r , c l i o lapcs required: Nolle Whal other p,'ripherals art' used? C a r d R e a d e r : Line P r i n t e r for D r i v e r No. of cards in combined program attd h'st deck: 1468
K e y w o r d s d e s c r i p t i v e of problem and method of solution: N u c l e a r . A t o m i c . N u c l e a r S p e c t r a A t o m i c S p e c t r a . A t o m i c S t r u c t u r e . SU3. F r a c t i o n a l P n r e n t a g e Coefficient. Nalure of the physical problem U s i n g E l l i o t t ' s SU3 m o d e l we c a l c u l a t e the f r a c t i o n a l p a r e n t a g e c o e f f i c i e n t s (F P.C.) o c c u r r i n g in m a t r i x e l e m e n t s for v a r i o u s m - p a r t i c l e s o p e r a t o r s (m = 1 , 2 , 3,4) anti in r e d u c e d widths of the p - s h e l l nuclei for d e u t e r o n s , t r i t o n s and O~-particles.
Nuclear Structure.
Typical running time T h e ak, e r a g e c a l c u l a t i o n t i m e s a r e : l e s s than I m s e e for the n ] n - t c o e f f i c i e n t s , about 30 m s e c for the n ] n - 2 , b e t w e e n ~00 and 700 m s e e for the n J n-3 and about 2 s e e for the n | n - 4 o n e s . T h e t e s t r u n (including c o m p i l a t i o n ) r e q u i r e s 26 s e c on the CDC 6600 c o m p u t e r .
Method of solution T h e ( l ~ n { ] p n - l p ) F . P . C . g i v e n by J a h n and van W i e r i n g e n [t] a r e t a b u l a t e d and the (pn {[pn-2 p2), (pn{ [p n-3 p3) and (pn {Ipn-4 p4) c o e f f i c i e n t s a r e c a l c u l a t e d u s i n g the Smirnov and C h l e b o w s k a e x p r e s s i o n s [2]. We u s e a m o d i f i e d v e r s i o n of T a m u r a ' s s u b r o u t i n e s [3,4] for the g e o m e t r i c a l c o e f f i c i e n t s which a p p e a r in t h e s e f o r m u l a s . Unusual.features of the program B e f o r e the c a l c u l a t i o n , the c o r e of the c o m p u t e r m u s t be c l e a r e d (control c a r d LOC(100,107 700).
Refe rellce$ [1] H. A. dahn and H. van Wieringen, Proe. Roy. Soc. A209 (1951) 502. [2] Yu. F. Smirnov and D. Chlebowska, Nucl. Phys. 26 (1961) 306. [3] T. Tamura, Oak Ridge National Laboratory. Report ORNL-3877 (1965). [4] T Tamura, Computer Phys. Commun. i (1970) 337.