Two-body decay widths of lowest lying and next-to-lowest lying scalar and pseudoscalar mesons in generalized linear sigma model

TL;DR

This paper investigates two-body decay widths of scalar and pseudoscalar mesons using the Generalized Linear Sigma Model, demonstrating improved predictions over simpler models by incorporating mixing between different quark configurations.

Contribution

It introduces a comprehensive analysis of meson decay widths within GLSM, highlighting the importance of chiral nonet mixing for accurate low-energy QCD predictions.

Findings

Lowest lying meson decay widths are well predicted by GLSM.

Some next-to-lowest lying meson decay widths agree with experimental data.

Chiral nonet mixing significantly improves decay width predictions.

Abstract

Two-body decay widths of lowest lying and next-to-lowest lying scalar and pseudoscalar mesons are studied in Generalized Linear Sigma Model (GLSM) of low-energy QCD. This model which considers mixing between "two quark" and "four quark" chiral nonets has been employed to investigate various decays and scatterings in low energy region of QCD. In this paper, $\Gamma[f_0(980) \rightarrow K \bar{K}]$ and $\Gamma[a_0(980) \rightarrow K \bar{K}]$ are obtained and it is shown that two-body decay widths of lowest lying mesons are well predicted by this model while for the next-to-lowest lying mesons, only some of the decay widths agree with the experimental results. We have compared the predicted decay widths in GLSM with the results obtained in single nonet linear sigma model (SNLSM) to indicate that chiral nonet mixing greatly improves the predictions of SNLSM for decay widths.