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000587898 0247_ $$2arXiv$$aarXiv:2307.10413
000587898 0247_ $$2datacite_doi$$a10.3204/PUBDB-2023-04594
000587898 037__ $$aPUBDB-2023-04594
000587898 041__ $$aEnglish
000587898 088__ $$2arXiv$$aarXiv:2307.10413
000587898 088__ $$2Other$$aMIT-CTP/5579
000587898 1001_ $$0P:(DE-H253)PIP1010758$$aBulava, John$$b0$$udesy
000587898 245__ $$aThe two-pole nature of the $\Lambda(1405)$ from lattice QCD
000587898 260__ $$c2023
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000587898 500__ $$a7 pages, 4 figures, and 1 table. added some references and revised introduction
000587898 520__ $$aThis 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.
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000587898 7001_ $$aCid-Mora, Bárbara$$b1
000587898 7001_ $$aHanlon, Andrew D.$$b2
000587898 7001_ $$aHörz, Ben$$b3
000587898 7001_ $$aMohler, Daniel$$b4
000587898 7001_ $$aMorningstar, Colin$$b5
000587898 7001_ $$aMoscoso, Joseph$$b6
000587898 7001_ $$aNicholson, Amy$$b7
000587898 7001_ $$aRomero-López, Fernando$$b8
000587898 7001_ $$aSkinner, Sarah$$b9
000587898 7001_ $$aWalker-Loud, André$$b10
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000587898 9141_ $$y2023
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