Theoretical estimates of the width of light-meson states in the SO(4) (2+1)-flavor limit

TL;DR

This paper provides theoretical estimates for the widths of light-meson states within the SO(4) symmetry framework of QCD in the Coulomb Gauge, aligning well with experimental data.

Contribution

It extends previous work by calculating meson widths in the low-energy spectrum using a simplified Hamiltonian and non-perturbative techniques.

Findings

Calculated meson widths match experimental patterns.

Supports SO(4) symmetry relevance in low-energy meson spectrum.

Demonstrates effectiveness of non-perturbative linearization methods.

Abstract

The low-energy sector of the mesonic spectrum exhibits some features which may be understood in terms of the SO(4) symmetry contained in the QCD-Hamiltonian written in the Coulomb Gauge. In our previous work we have shown that this is indeed the case when the Instantaneous Color-Charge Interaction (ICCI) is treated by means of non-perturbative many-body linearization techniques. Continuing along this line of description in this work we calculate the width of meson states belonging to the low portion of the spectrum (E <1 GeV ). In spite of the rather simple structure of the Hamiltonian used to calculate the spectra of pseudoscalar and vector mesons, the results for the width of these states follow the pattern of the data.