Journal Article GSI-2024-01149

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Lattice QCD study of $\pi$$\Sigma$ − $\bar{K}$$N$ scattering and the $\Lambda(1405)$ resonance

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2024
American Physical Society Ridge, NY

Physical review / D 109(1), 014511 () [10.1103/PhysRevD.109.014511]

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Abstract: A lattice QCD computation of the coupled channel πΣ–K¯N scattering amplitudes in the Λ(1405) region is detailed. Results are obtained using a single ensemble of gauge field configurations with Nf=2+1 dynamical quark flavors and mπ≈200  MeV and mK≈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 K¯N threshold.

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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 SCOAP3.

Contributing Institute(s):
  1. Hadronenphysik & QCD (QCD)
Research Program(s):
  1. 612 - Cosmic Matter in the Laboratory (POF4-612) (POF4-612)
Experiment(s):
  1. no experiment theory work (theory)

Appears in the scientific report 2024
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