Chiral unitary theory of scalar mesons in a finite volume

TL;DR

This paper presents a finite-volume chiral unitary approach to extract properties of scalar mesons from lattice QCD data, demonstrating its effectiveness with synthetic data for accurate resonance characterization.

Contribution

It introduces a novel scheme combining chiral unitary theory and finite-volume analysis to determine scalar meson properties from lattice QCD.

Findings

Framework can accurately determine resonance pole positions

Synthetic data analysis shows feasibility of extracting mass and width

Method applicable to multi-channel scattering scenarios

Abstract

We develop a scheme for the extraction of the properties of the scalar mesons $f_0(600)$, $f_0(980)$, and $a_0(980)$ from lattice QCD data. This scheme is based on a two-channel chiral unitary approach with fully relativistic propagators in a finite volume. In order to discuss the feasibility of finding the mass and width of the scalar resonances, we analyze synthetic lattice data with a fixed error assigned, and show that the framework can be indeed used for an accurate determination of resonance pole positions in the multi-channel scattering.