ChiralSU(3)×SU(3)and the Decayη→3π. I
- 15 June 1971
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 3 (12), 3195-3205
- https://doi.org/10.1103/physrevd.3.3195
Abstract
The difficulties with the current-algebra treatment of the decay of the meson into three mesons are analyzed within the framework of a nonlinear Lagrangian calculation based on the chiral group . The most general -decay Lagrangian with the symmetry properties of the effective second-order electromagnetic interaction, and containing no more than two derivaties, is constructed and is shown to involve only one arbitrary parameter, the coupling constant . The energy dependence, or slope, of the matrix element depends only on the choice of representation for the and (collectively called medium-strong) symmetry-breaking terms. The simplest choice for these terms in a theory containing explicit partial conservation of axial-vector current — namely, a common representation for both — gives good agreement with experiment, Furthermore, exactly three parameters exist for adjusting the coupling constant and the electromagnetic mass differences and to their measured values. However, the coefficients of terms in the resulting phenomenological Lagrangian are unnaturally large; they give rise to the small mass differences only because of extensive cancellations (a condition which we refer to as a "scale difficulty"). The same techniques used for decay are also applied to the nonleptonic weak decays of the mesons. The usual current-algebra results are obtained as a check that our methods are exactly equivalent to the conventional ones.
Keywords
This publication has 21 references indexed in Scilit:
- Structure of Phenomenological Lagrangians. IIPhysical Review B, 1969
- Structure of Phenomenological Lagrangians. IPhysical Review B, 1969
- Nonlinear Realizations of Chiral SymmetryPhysical Review B, 1968
- Current algebra and η → 3πNuclear Physics B, 1968
- Decay and Current AlgebraPhysical Review Letters, 1967
- Current algebra and η → 3π, X → 2πη decaysPhysics Letters B, 1967
- ηDecay, Current Algebra, and theC-Nonconserving Electromagnetic CurrentPhysical Review Letters, 1967
- Current algebra and the decay η → 3 πPhysics Letters, 1966
- Nonleptonic Decays ofMesonsPhysical Review Letters, 1966
- Equal-Time Commutators and-Meson DecaysPhysical Review Letters, 1966