Sigma meson resonance and its coupling constant

TL;DR

This paper analyzes the sigma meson resonance using a theoretical model to match experimental data, constraining its mass and width within specific ranges based on spectral distribution calculations.

Contribution

It provides a consistent spectral distribution approach to estimate the sigma meson’s mass and width, aligning theoretical predictions with experimental results.

Findings

Sigma meson mass range: 453-490 MeV

Sigma meson width range: 167.5-354 MeV

Spectral distribution matches experimental Breit-Wigner distribution

Abstract

We study two coupling constants reported as predictions of the sigma model. We obtain an spectral distribution, in terms of the \sigma meson regularized self- energy in one loop order, which is consistently with the Breit-Wigner distribution, converging to values of mass and width of this scalar resonance given in the experimental results reported by the E791 Collaboration at Fermilab and BES Collaboration at the Beijing Electron Positron Collider. We conclude that the sigma meson mass is restricted to be on the range 453MeV < m\sigma < 490MeV and its width 238MeV-354MeV or 354MeV < m\sigma < 415MeV and its width 167.5 < \Gamma\sigma < 347MeV MeV.