Nonleptonic decays in a renormalizable gauge model of chiral symmetry
- 1 October 1977
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 16 (7), 2226-2236
- https://doi.org/10.1103/physrevd.16.2226
Abstract
We present a model based on chiral SU(3) × SU(3) for the nonleptonic decays of mesons and baryons. The model is fully gauge-invariant and renormalizable. The basic fields in the model are the spin-1 and spin-0 mesons. All symmetry-breaking effects, including the nonleptonic weak mixings, are achieved through the spontaneous-symmetry-breaking mechanism. Our choice of the Higgs-Kibble scalars automatically ensures octet dominance for the nonleptonic weak vertex. Since we find it hard to include baryons in the model, a phenomenological treatment of the baryon decays, assuming SU(3) invariance of the baryonic couplings, is presented. In the model we calculate the two-pion and three-pion decays of the kaon, the -wave amplitudes for the hyperon decays, and the mass difference. The results for and decay widths are in excellent agreement with experiment. The slope parameter for the decay, however, comes out with the wrong sign. The -wave amplitudes for the hyperon decays agree reasonably well with experiment. The estimate for the mass difference is of the correct order of magnitude. decay is calculated by using the known current-algebra estimate of mixing. The decay width obtained by us is rather low. Our conclusion is that mixing alone is not sufficient to explain the decay. On extending the model to chiral SU(4) × SU(4), we predict the existence of a component transforming as the 15 representation of SU(4) in the nonleptonic Hamiltonian. Therefore, the nonleptonic decays of charmed mesons will provide a definitive test for the model.
Keywords
This publication has 20 references indexed in Scilit:
- Octet enhancement of non-leptonic weak interactions in asymptotically free gauge theoriesPhysics Letters B, 1974
- Rule for Nonleptonic Decays in Asymptotically Free Field TheoriesPhysical Review Letters, 1974
- Nonleptonic Weak Interactions in Unified Gauge TheoriesPhysical Review D, 1973
- Unified Gauge Theories of Hadrons and LeptonsPhysical Review D, 1973
- Rule in Nonleptonic Weak InteractionsPhysical Review D, 1973
- Some Physical Constraints on Gauge Models of Weak InteractionsPhysical Review D, 1973
- O(4) Treatment of the Electromagnetic-Weak SynthesisPhysical Review Letters, 1972
- Precise Test of SU(2) Chiral Breaking. A Coleman-Glashow Formula for Pseudoscalar MesonsPhysical Review Letters, 1972
- Broken symmetries, massless particles and gauge fieldsPhysics Letters, 1964
- Universal weak interaction LagrangianPhysics Letters, 1964