Analysis of representations of the SU (4, 1) group of hadron dynamical symmetry and the masses of charmed particles

Journal Article · Sat Jul 01 00:00:00 EDT 1978 · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)

OSTI ID:6078445

Gavrilik, A M; Shirokov, V A

All representations of the SU (4, 1) group which are determined by integral parameters and describe (1/2)/sup +/ baryons and 0/sup -/ mesons are analyzed within the framework of the hadron dynamical SU (4, 1) symmetry model. Using the formula for the mass operator proposed in the present study, it is shown that out of all the representations of this type of SU (4, 1) group only four can be used to describe the mass spectrum of 0/sup -/ mesons. The mass formulas are obtained in these four representations and the masses of the charmed 0/sup -/ mesons are calculated. The requirement that the representation describing (1/2)/sup +/ baryons be contained, in addition to several of the four representations describing 0/sup -/ mesons, in a single representation of the principle nonunitary series of the SU (4, 1) group serves as the criterion for choosing a baryon representation and allows it to be fixed. The mass formulas are obtained and the masses of the charmed (1/2)/sup +/ baryons are calculated in this representation.

• Research Organization: Institute of Theoretical Physics, Academy of Sciences of the Ukrainian SSR
• OSTI ID: 6078445
• Journal Information: Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Vol. 28:1
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHARM PARTICLES
MASS FORMULAE
SU-4 GROUPS
DYNAMICAL GROUPS
HADRONS
ELEMENTARY PARTICLES
LIE GROUPS
POSTULATED PARTICLES
SU GROUPS
SYMMETRY GROUPS
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