PoS - Proceedings of Science
Volume 453 - The 40th International Symposium on Lattice Field Theory (LATTICE2023) - Poster session
The $\Lambda(1405)$ from Lattice QCD: Determining the Finite-volume Spectra
B. Cid-Mora*, J. Bulava, A.D. Hanlon, B. Hörz, D. Mohler, C. Morningstar, J. Moscoso, A. Nicholson, F. Romero-Lopez, S. Skinner and A. Walker-Loud
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Pre-published on: May 03, 2024
Published on: November 06, 2024
Abstract
This work presents technical details of determining the finite-volume energy spectra for the scattering amplitude of the coupled-channel $\pi\Sigma - \bar{K}N$ 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 $\Lambda(1405)$, a virtual bound state below the $\pi\Sigma$ threshold and a resonance pole right below the $\bar{K}N$ threshold.
DOI: https://doi.org/10.22323/1.453.0131
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