https://doi.org/10.1051/epjconf/202430301004
The Λ(1405) pole structure from Lattice QCD: A coupled-channel πΣ − KN study
1 Fakultät für Physik und Astronomie, Institut für Theoretische Physik II, Ruhr-Universität Bochum, 44780 Bochum, Germany
2 GSI Helmholtz Centre for Heavy Ion Research, Darmstadt, Germany
3 Institut für Kernphysik, Technische Universität Darmstadt, Schlossgartenstrasse 2, 64289 Darmstadt, Germany
4 Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA
5 Intel Deutschland GmbH, Dornacher Str. 1, 85622 Feldkirchen, Germany
6 Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA
7 Department of Physics and Astronomy, University of North Carolina, Chapel Hill, NC 27516-3255, USA
8 Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
9 Nuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
* e-mail: b.cidmora@gsi.de
Published online: 25 September 2024
This report summarizes results of the first lattice QCD calculation of coupled-channel πΣ − K¯N scattering in the Λ(1405) region. This study was carried out using a single CLS ensemble with a heavier-than-physical pion mass mπ ≈ 200 MeV and a lighter-than-physical kaon mass mK ≈ 487 MeV. Once the finite-volume energy spectrum has been reliably extracted, the Lüscher method was employed to obtain scattering amplitudes. Through a variety of parametrizations of the two-channel K-matrix, the final results show a virtual bound state below the πΣ threshold and a resonance right below K¯N.
© The Authors, published by EDP Sciences, 2024
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.