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arXiv · 2310.08375

Low-lying baryon resonances from lattice QCD

John Bulava·Barbara Cid-Mora·Andrew D. Hanlon·Ben Hoerz·Daniel Mohler·Colin Morningstar·Joseph Moscoso·Amy Nicholson·Fernando Romero-Lopez·Sarah Skinner·Andre Walker-Loud
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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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John Bulava, Barbara Cid-Mora, Andrew D. Hanlon, Ben Hoerz, Daniel Mohler, Colin Morningstar, Joseph Moscoso, Amy Nicholson, Fernando Romero-Lopez, Sarah Skinner, Andre Walker-Loud. 2023-10-12. Low-lying baryon resonances from lattice QCD. https://arxiv.org/abs/2310.08375

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