Preprint

PUBDB-2023-04594

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png The two-pole nature of the $\Lambda(1405)$ 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.

2023

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Please use a persistent id in citations: doi:10.3204/PUBDB-2023-04594

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.

Keyword(s): resonance, pole ; quark, mass ; symmetry, chiral ; lattice field theory ; scattering amplitude ; Lambda(1405) ; parity ; strangeness ; unitarity ; quantum number ; parametrization ; meson baryon ; bound state ; coupled channel ; SU(3) ; isospin ; spin ; finite size

Note: 7 pages, 4 figures, and 1 table. added some references and revised introduction

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Contributing Institute(s):

1. Z_APR (Z_APR)
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 2023

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Database coverage:
; ; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article 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.
Two-Pole Nature of the Λ ( 1405 ) Resonance from Lattice QCD
Physical review letters 132(5), 051901 (2024) [10.1103/PhysRevLett.132.051901]2024     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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