Journal Article

PUBDB-2024-07183

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.DESY* ; Cid-Mora, B. ; Hanlon, A. D. ; Hörz, B. ; Mohler, D. ; 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:10.3204/PUBDB-2024-07183

Report No.: MIT-CTP/5579; arXiv:2307.10413

Abstract: This letter presents the first lattice QCD computation of the coupled channel $\pi\Sigma\unicode{x2013}\bar{K}N$ scattering amplitudes at energies near $1405\,{\rm MeV}$. These amplitudes contain the resonance $\Lambda(1405)$ with strangeness $S=-1$ and isospin, spin, and parity quantum numbers $I(J^P)=0(1/2^-)$. 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 $m_\pi\approx200$ MeV and $m_K\approx487$ MeV, this study finds the amplitudes exhibit a virtual bound state below the $\pi\Sigma$ threshold in addition to the established resonance pole just below the $\bar{K}N$ 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: 7 pages, 4 figures, and 1 table. added some references and revised introduction

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Contributing Institute(s):

1. Leitungsbüro Zeuthen (Z_LB)
2. Datenverarbeitung (Z_DV)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2024

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Bulava, J.DESY* ; Cid-Mora, B. ; Hanlon, A. D. ; Hörz, B. ; Mohler, D. ; Morningstar, C. ; Moscoso, J. ; Nicholson, A. ; Romero-López, F. ; Skinner, S. ; Walker-Loud, A.
The two-pole nature of the $\Lambda(1405)$ from lattice QCD
[10.3204/PUBDB-2023-04594]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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