The $\Lambda(1405)$ from Lattice QCD: Determining the Finite-volume Spectra
High Energy Physics - Lattice
2024-02-28 v2
Abstract
This work presents technical details of determining the finite-volume energy spectra for the scattering amplitude of the coupled-channel from lattice QCD data. The importance of reliably extracting such spectra lies in the crucial dependence of the hadronic scattering amplitudes analysis on the energy spectrum when using L\"{u}scher's formalism. Results of the methods used are presented and the final finite-volume spectra are shown. The analysis of the scattering amplitude based on these results, exhibits a two-pole structure for the , a virtual bound state below the threshold and a resonance pole right below the threshold.
Cite
@article{arxiv.2312.05154,
title = {The $\Lambda(1405)$ from Lattice QCD: Determining the Finite-volume Spectra},
author = {John Bulava and Bárbara Cid-Mora and Andrew D. Hanlon and Ben Hörz and Daniel Mohler and Colin Morningstar and Joseph Moscoso and Amy Nicholson and Fernando Romero-López and Sarah Skinner and André Walker-Loud},
journal= {arXiv preprint arXiv:2312.05154},
year = {2024}
}