Journal Article

GSI-2025-00149

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Two-Pole Nature of the Λ ( 1405 ) Resonance from Lattice QCD

Bulava, J. (Corresponding author) ; Cid-Mora, B.GSI* ; Hanlon, A. D. ; Hörz, B. ; Mohler, D.GSI* ; Morningstar, C. ; Moscoso, J. ; Nicholson, A. ; Romero-López, F. ; Skinner, S. ; Walker-Loud, A.

2024
APS College Park, Md.

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Please use a persistent id in citations: doi:10.1103/PhysRevLett.132.051901  doi:10.15120/GSI-2025-00149

Report No.: 2307.10413

Abstract: This Letter presents the first lattice QCD computation of the coupled channel πΣ-K¯N scattering amplitudes at energies near 1405 MeV. These amplitudes contain the resonance Λ(1405) resonance with strangeness S=-1 and isospin, spin, and parity quantum numbers I(JP)=0(1/2-). However, whether there is a single resonance or two nearby resonance poles in this region is controversial theoretically and experimentally. Using single-baryon and meson-baryon operators to extract the finite-volume stationary-state energies to obtain the scattering amplitudes at slightly unphysical quark masses corresponding to mπ≈200  MeV and mK≈487  MeV, this study finds the amplitudes exhibit a virtual bound state below the πΣ threshold in addition to the established resonance pole just below the K¯N threshold. Several parametrizations of the two-channel K matrix are employed to fit the lattice QCD results, all of which support the two-pole picture suggested by SU(3) chiral symmetry and unitarity.

Note: Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP 3.

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Contributing Institute(s):

1. Hadronenphysik & QCD (QCD)

Research Program(s):

1. 612 - Cosmic Matter in the Laboratory (POF4-612) (POF4-612)
2. DFG project G:(GEPRIS)454605793 - Hadronstreuung und hadronische Resonanzen aus der Gitterquantenchromodynamik (454605793) (454605793)

Experiment(s):

1. no experiment theory work (theory)

Appears in the scientific report 2024

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