Hadrons in an S[bar L](4,[ital openR]) classification. II. Mesons and [ital C],[ital P] assignments

Journal Article · Sat May 01 00:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.4133· OSTI ID:6876392

Sijacki, D ^[1]; Ne'eman, Y ^[2]

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1. Institute of Physics, P.O.B. 57, Belgrade (Yugoslavia)
2. Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel-Aviv (Israel)

The S[bar L](4,[ital openR]) classification scheme for hadrons [Phys. Rev. D 37, 3267 (1988)] is reviewed, including the recent rederivation of the model from QCD as an approximation for the IR region, with applications in hadron and nuclear physics. The classification is extended to include [ital P] and [ital C] parities. The representations of the SL(4,[ital openR])(semidirect product)[[ital Z][sub 2]([ital P])[direct product][ital Z][sub 2]([ital C])] group are described. Mesons are assigned to four predicted [ital J][sup [ital P][ital C]] bandors. From the Regge trajectory mass formula, derived from a dynamical theory for the QCD IR region, a new mass spectrum formula for the SO(4)[contained in]SL(4,[ital openR]) recurrences of meson states is obtained in agreement with experiment. Various missing states are predicted. The system is more restrictive than the conventional systematics based on the nonrelativistic quark model.

• DOE Contract Number: FG05-85ER40200
• OSTI ID: 6876392
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 47:9; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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662230* -- Quantum Chromodynamics-- (1992-)
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
ELEMENTARY PARTICLES
FIELD THEORIES
GLUONS
LIE GROUPS
MASS FORMULAE
MESON SPECTROSCOPY
PARITY
PARTICLE PROPERTIES
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM NUMBERS
SO GROUPS
SPECTROSCOPY
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS