The Λ(1405) from Lattice QCD: Determining the Finite-volume Spectra
arxiv(2023)
摘要
This work presents technical details of determining the finite-volume energy
spectra for the scattering amplitude of the coupled-channel πΣ -
K̅N 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 Lüscher'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 Λ(1405), a virtual bound state below the
πΣ threshold and a resonance pole right below the K̅N
threshold.
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