Strategy to find the two $\Lambda(1405)$ states from lattice QCD simulations

TL;DR

This paper proposes a strategy using lattice QCD simulations with asymmetric boxes and moving frames to accurately identify the two $\\Lambda(1405)$ states, aiding experimental and theoretical understanding.

Contribution

It introduces a novel analysis method for extracting the two $\\Lambda(1405)$ states from lattice QCD energy levels, improving state resolution.

Findings

Asymmetric boxes and moving frames enhance state distinction.

The proposed method can reliably identify the two $\\Lambda(1405)$ poles.

Reasonable energy errors still allow successful state extraction.

Abstract

Theoretical studies within the chiral unitary approach, and recent experiments, have provided evidence of the existence of two isoscalar states in the region of the $\Lambda(1405)$. In this paper we use the same chiral approach to generate energy levels in a finite box. In a second step, assuming that these energies correspond to lattice QCD results, we devise the best strategy of analysis to obtain the two states in the infinite volume case, with sufficient precision to distinguish them. We find out that using energy levels obtained with asymmetric boxes and/or with a moving frame, with reasonable errors in the energies, one has a successful scheme to get the two $\Lambda(1405)$ poles.