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LETTERE AL NUOVO CIMENTO VOL. 17, N. 15 11 D i e e m b r e 1976
Masses of Charmed Baryons ( ' ) .
G . J A K I M O W
Ddpartement de Physique Universitd Du Quebec ~ Montrdal, C.P. 8888, Montrdal, Que., Canada
C. S. KALMAN (**)
Physics Department Indiana University . Bloomington, Ind. 47401.
(ricevur il 29 S e t t e m b r e 1976)
In a p r ev ious p a p e r (1) we o b t a i n e d a o n e - p a r a m e t e r mass f o r m u l a for c h a r m e d ba ryons . Now t h a t t h e c h a r m e d ana logue of A ( l l l S ) w i t h a mass of 2250 MeV h a s been obse rved (2), t h i s p a r a m e t e r can be e v a l u a t e d a n d t h e masses of t h e r e s t of t h e c h a r m e d b a r y o n s p red ic t ed . As in t h e p r e v i o u s p a p e r b a r y o n s are n a m e d accord ing to t he i r i sospin I a n d s t r angenes s m i n u s c h a r m S - - C. The s y m b o l X is used to descr ibe an I = 1 pa r t i c l e w i t h S - - C = - 1. A s u b s c r i p t is used to d e n o t e t h e c h a r m if i t is n o t zero.
A l t h o u g h t h e genera l f o r m u l a g iven in e q u a t i o n (18) of t h e p r ev ious p a p e r is correct , t h e expl ic i t r e su l t s n o t e d for t he s ex t e t were in error . The cor rec t r e su l t s for all c h a r m e d b a r y o n s are as fol lows:
S e x t e t (U = 1)
M(E+) = 9 3 6 . 3 - - 2 6 2 . 8 D ,
M(E+) = 1 1 2 8 . 6 - - 2 6 2 . 8 D ,
M(g2+) : 1 3 1 2 . 5 - - 2 6 2 . 8 D .
A n t i t r i p l e t ( C = + 1)
M(~+) ~ 1 1 8 1 . 2 - - 1 5 7 . 7 D ,
M(A+) = 9 4 4 . 6 - - 157 .7D,
(*) "Work s u p p o r t e d in p a r t b y the N a t i o n a l R e s e a r c h Counci l (Canada) a n d in p a r t b y t h e U.S . E n e r g y R e s e a r c h a n 4 D e v e l o p m e n t A d m i n i s t r a t i o n . C o n c o r d i a U n i v e r s i t y 411 Quebec , E l e m e n t a r y P a r t i c l e P h y s i c s Group , C U Q / E P R - 7 6 / 1 1 . (**) P e r m a n e n t a d d r e s s : L o y o l a C a m p u s , Co~co rd i a U n i v e r s i t y , M o n t r e a l , C a n a d a t t t B 1R6 . (1) G. 5A~IMOW a n d C. S. KAL.~IAN: Lelt . N~tovo Cirnento, 17, 511 (1976). (~) B. ~V. LEE, C. QuIoG a n d J . L. ROSNER: F E R M I L A B - P U B - 7 6 1 7 1 - T H Y (Augus t 1976).
516
MASSES OF CHARMED BARYONS
Tr ip le t (G = ~- 2)
517
M(~++) = 944 .6 - - 367 .9D,
M(•++) = 1207 .4- - 367.9D .
I f we set t he mass of A+ = 2250 MeV, the masses of the res t of t he c h a r m e d bar- yons axe t h e n
Sex t e t :
An t i t r i p l e t :
Tr ip le t :
M(E+) ~ 3112 MeV, M(~+) ~ 3304 MeV,
M(~+) = 2487 MeV, M(A+) 2250 McV,
M(~++) = 3990 McV, M(g~++) = 4253 MeV.
M(g~+) = 3488 M e V ,