Non-Abelian anomaly and vector-meson decays
We propose an extension of the old, fairly successful, phenomenological prescription for adding spin-1 fields to the chiral Lagrangian of pseudoscalar mesons to the case where the Wess-Zumino term is present. This leads to the possibility of describing within the effective-Lagrangian framework a whole class of ''unnatural-parity'' hadronic reactions. In particular, we study the well-known (pure hadronic) ..omega -->..3..pi.. and (radiative) ..omega --> pi../sup 0/..gamma.. processes, and find good agreement with experiment, comparable to that for any of the current-algebra ''theorems.'' The construction of the Lagrangian is seen to involve subtle theoretical issues. We are led to examine in more detail Witten's ''trial-and-error'' gauging of the Wess-Zumino term and note that the Bardeen form of the anomaly seems more suitable than the left-right-symmetric form for constructing an effective model with phenomenological spin-1 fields.
- Research Organization:
- Physics Department, Syracuse University, Syracuse, New York 13210
- OSTI ID:
- 6444940
- Journal Information:
- Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 30:3; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645205* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. = 0-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BOSONS
CHIRAL SYMMETRY
CURRENT ALGEBRA
DECAY
ELEMENTARY PARTICLES
FIELD THEORIES
FUNCTIONS
HADRONS
LAGRANGIAN FUNCTION
MESON RESONANCES
MESONS
PARTICLE PROPERTIES
POSTULATED PARTICLES
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKS
RESONANCE PARTICLES
SCALAR FIELDS
SPIN
SYMMETRY
SYMMETRY BREAKING
VECTOR MESONS