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Low-lying baryon resonances from lattice QCD

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arxiv 2310.08375 v1 pith:Y2WBEDXB submitted 2023-10-12 hep-lat

John Bulava , Barbara Cid-Mora , Andrew D. Hanlon , Ben Hoerz , Daniel Mohler , Colin Morningstar , Joseph Moscoso , Amy Nicholson
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Fernando Romero-Lopez Sarah Skinner Andre Walker-Loud
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classification hep-lat
keywords latticebaryonlow-lyingpresentedresonancesresultsscatteringwave
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Recent results studying the masses and widths of low-lying baryon resonances in lattice QCD are presented. The $S$-wave $N\pi$ scattering lengths for both total isospins $I = 1/2$ and $I = 3/2$ are inferred from the finite-volume spectrum below the inelastic threshold together with the $I = 3/2$ $P$-wave containing the $\Delta(1232)$ resonance. A lattice QCD computation employing a combined basis of three-quark and meson-baryon interpolating operators with definite momentum to determine the coupled channel $\Sigma\pi$-$N\overline{K}$ scattering amplitude in the $\Lambda(1405)$ region is also presented. Our results support the picture of a two-pole structure suggested by theoretical approaches based on $SU(3)$ chiral symmetry and unitarity.

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  1. Physical interpretation of the 2s excitation of the nucleon

    hep-lat 2024-12 conditional novelty 5.0 of 10

    The 2s radial excitation of the nucleon is found to stay near 2 GeV when meson-baryon couplings are suppressed by quenching, supporting its association with the N(1710) and N(1880) resonances rather than the Roper.

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