Spin--unitary-spin splitting of SU(8) supermultiplets

Journal Article · Thu Apr 01 00:00:00 EST 1976 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.13.2139· OSTI ID:7285496

Nelson, C A

The suprising narrowness of the J or psi (3.1) is interpreted as indication of a pure cc state, and hence as evidence for the SU(8) ..-->.. SU(6) x SU(2)/subS//subc/ x U(1)/subY//subc/ symmetry-breaking chain (S/subc/ = charmed-quark--spin generators, Y/subc/ = hypercharm generator) instead of an approximate SU(8) ..-->.. SU(4) x SU(2)/subS/ chain (S = quark spin generators) which would imply strong mixings. Decompositions under both chains of the s-wave qq meson states of the 64 = 1 + 63 of SU(8) and of the 3q baryon states of the three-particle symmetric 120 representation are given. The most general mass-splitting operators with breaking in the Y and Y/subc/ directions for these two multiplets are derived, which commute with the Casimir operators of the SU(6) x SU(2)/subS//subc/ x U(1)/subY//subc/ chain, which contain only one- and two-body operators, and which are invariant under rotations. Two independent mass relations follow for mesons containing charmed quarks; six, for baryons containing charmed quarks. In an appendix, for reference relative to previous SU(6) -symmetric quark-model mass analyses, the reduced numerical coefficients as determined by the meson 36 of SU(6) are listed. (AIP)

• Research Organization: Department of Physics, State University of New York at Binghamton, Binghamton, New York 13901
• OSTI ID: 7285496
• Journal Information: Phys. Rev., D; (United States), Vol. 13:7
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
MASS
MESONS
QUARK MODEL
IRREDUCIBLE REPRESENTATIONS
SU-6 GROUPS
MASS FORMULAE
CASIMIR OPERATORS
CHARM PARTICLES
PSI-3105 RESONANCES
PSI-3695 RESONANCES
SU-2 GROUPS
SUPERMULTIPLETS
SYMMETRY BREAKING
BOSONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
FERMIONS
HADRONS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MESON RESONANCES
MULTIPLETS
PARTICLE MODELS
POSTULATED PARTICLES
PSI RESONANCES
RESONANCE PARTICLES
SU GROUPS
SYMMETRY GROUPS
VECTOR MESONS
645303* - High Energy Physics- Particle Invariance Principles & Symmetries- Applications to Strong Interactions- (-1987)