Resonance properties from the finite-volume energy spectrum

TL;DR

This paper introduces a novel probability distribution-based method to analyze finite-volume energy spectra in lattice QCD, enabling precise determination of resonance properties like mass and width, demonstrated through synthetic data for the Delta-resonance.

Contribution

A new analytical approach using probability distributions to extract resonance parameters from lattice QCD energy spectra is proposed, improving accuracy in resonance characterization.

Findings

Resonance structures can be clearly identified using the new method.

The volume dependence of energy levels allows accurate determination of resonance mass and width.

Synthetic data demonstrates the effectiveness of the approach.

Abstract

A new method based on the concept of probability distribution is proposed to analyze the finite volume energy spectrum in lattice QCD. Using synthetic lattice data, we demonstrate that for the channel with quantum numbers of the Delta-resonance a clear resonance structure emerges in such an analysis. Consequently, measuring the volume-dependence of the energy levels in lattice QCD will allow to determine the mass and the width of the Delta with reasonable accuracy.