Lattice QCD study of πΣ-KN scattering and the Λ(1405) resonance

2023/07/25 by Bulava, John, Cid-Mora, Bárbara, Hanlon, Andrew D. +8 · 1 citation
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Nuclear Experiment (nucl-ex) #Nuclear Theory (nucl-th)

paper · doi:10.48550/arxiv.2307.13471

Abstract

A lattice QCD computation of the coupled channel πΣ-KN scattering amplitudes in the Λ(1405) region is detailed. Results are obtained using a single ensemble of gauge field configurations with N_{\rm f} = 2+1 dynamical quark flavors and m_π ≈ 200 MeV and m_K≈487 MeV. Hermitian correlation matrices using both single baryon and meson-baryon interpolating operators for a variety of different total momenta and irreducible representations are used. Several parametrizations of the two-channel scattering K-matrix are utilized to obtain the scattering amplitudes from the finite-volume spectrum. The amplitudes, continued to the complex energy plane, exhibit a virtual bound state below the πΣ threshold and a resonance pole just below the KN threshold.

Cited by

• Phenomenology of light baryon resonances

Related

• Two-pole nature of the Λ(1405) from lattice QCD
• Low-lying baryon resonances from lattice QCD
• Nucleon scattering from lattice QCD
• Lattice QCD studies of the Δ baryon resonance and the K₀^∗(700) and a₀(980) meson resonances: the role of exotic operators in determining the finite-volume spectrum
• Light-quark mass dependence of the Λ(1405) resonance