Meson theory with internal coordinates. [Ladder approximation]

Journal Article · Mon Nov 15 04:00:00 EST 1976 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.14.2801· OSTI ID:7344388

Hoh, F C

This work is a continuation of the preceding paper in which a generalized Bethe-Salpeter equation in the ladder approximation for a quark-antiquark pair is presented. The generalized equation includes functions of a set of three complex coordinates, called internal coordinates, spanning an abstract three-dimensional complex space. These functions are essential in describing mesons. This generalized equation is treated in this paper. Upon consistent restrictions, it is reduced, in the case of pseudoscalar mesons, to one nine-component tensor equation involving internal coordinates only. Keeping the zero-order SU/sub 3/-symmetry-preserving interaction only, the tensor equation is further reduced to two coupled radial equations and finally to two algebraic recurrence relations for the eta' meson. In the eta-meson case, four such relations are obtained. Preliminary treatment of the eta' case indicates that the interaction is strong. By including the interaction term transforming like the eighth component of an SU/sub 3/ octet vector as a first-order perturbation, the Gell-Mann--Okubo formula is reproduced with the coefficients determined by given relations. Necessary removal of possible degeneracy in the zero-order states leads to mixing of these states. (AIP)

• Research Organization: 4618 Spruce Street, Philadelphia, Pennsylvania 19139
• OSTI ID: 7344388
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 14:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BETHE-SALPETER EQUATION
BOSONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
EQUATIONS
ETA MESONS
ETA-958 RESONANCES
FIELD THEORIES
FUNCTIONS
GELL-MANN THEORY
HADRONS
LADDER APPROXIMATION
LIE GROUPS
MATHEMATICAL MODELS
MESON RESONANCES
MESONS
PARTICLE MODELS
PERTURBATION THEORY
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
QUARK MODEL
RESONANCE PARTICLES
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
TENSORS
WAVE FUNCTIONS