Mixing and decays of pseudoscalar mesons in a nonrelativistic quark model with an idea abstracted from quantum chromodynamics
The compositeness of mesons is taken into account in the evaluation of decays and mixing of eta, eta', and eta/sub c/ with an idea abstracted from quantum chromodynamics. Effective couplings of a pseudoscalar meson and two gluons are calculated in a simple model, where the Bethe-Salpeter amplitude is approximated in terms of harmonic-oscillator wave functions. The model is constructed so as to reproduce S-wave meson masses and the values of wave functions at the origin in the sense of the nonrelativistic quark model. In this model GAMMA (..pi../sup 0/ ..-->.. 2..gamma..) is reproduced satisfactorily. We obtain an s-dependent mixing angle, which is estimated to be - 42.3/sup 0/ and - 40.0/sup 0/ for s = M/sub eta//sup 2/ and s = M/sub etaprime//sup 2/, respectively. Criticism of various estimations of the angle is presented. All the results are shown to be consistent with experiments. The importance of the compositeness of mesons is stressed.
- Research Organization:
- Institute for Physics, University of Tsukuba, Ibaraki, Japan, 300-31
- OSTI ID:
- 6751888
- Journal Information:
- Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 18:1; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
Baryon No. = 0-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BETHE-SALPETER EQUATION
BOSONS
COMPOSITE MODELS
DECAY
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
FUNCTIONS
GLUON MODEL
HADRONS
HARMONIC OSCILLATOR MODELS
MATHEMATICAL MODELS
MESONS
MIXING RATIO
PARTIAL WAVES
PARTICLE MODELS
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
S WAVES
SYMMETRY BREAKING
WAVE FUNCTIONS