Light Meson Decay with Gaussian Confinement in a JKJ Decay Model

Eduardo S Da Veiga,Daniel T Da Silva,Mario L L Da Silva,Dimiter Hadjimichef

doi:10.1142/s2010194517600722

Abstract

A form to describe hadron strong decays is in terms of quark and gluon degrees of freedom in microscopic decay models. Initially we assume that strong decays are driven by the same inter-quark Hamiltonian which determines the spectrum, and that it incorporates gaussian confinement. An [Formula: see text] decay matrix element of the JKJ Hamiltonian involves a pair-production current matrix elements times a scattering matrix element. Diagrammatically this corresponds to an interaction between an initial line and produced pair. In this work we apply the model to the light meson sector and calculate the decay rate, comparing with the experimental values.

Highlights

The quark model calculations were used to describe the hadron spectrum
In the 90’s the quark interchange techniques to meson-meson and baryon-baryon scattering were extended by Barnes and Swanson (Ref. 1) and Hadjimichef et al (Refs. 2–4)
These techniques were applied to meson decay, glueballs and other exotics

Summary

Introduction

The quark model calculations were used to describe the hadron spectrum. In particular in 80’s this method was used by Oka and Yazaki for the calculation of the NN scattering with quark interchange. In the 90’s the quark interchange techniques to meson-meson and baryon-baryon scattering were extended by Barnes and Swanson (Ref. 1) and Hadjimichef et al These techniques were applied to meson decay, glueballs and other exotics. This is an Open Access article published by World Scientific Publishing Company. In the present work we shall use the Fock-Tani formalism to obtain a decay amplitude for vector mesons ρ

The Meson in the Fock-Tani Formalism

The Microscopic Hamiltonian The JKJ Hamiltonian is given by