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arXiv · 2312.10184

Lattice QCD studies of the $\Delta$ baryon resonance and the $K_0^\ast(700)$ and $a_0(980)$ meson resonances: the role of exotic operators in determining the finite-volume spectrum

John Bulava·Danny Darvish·Andrew D. Hanlon·Ben Hörz·Colin Morningstar·Amy Nicholson·Fernando Romero-López·Sarah Skinner·Pavlos Vranas·André Walker-Loud
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Abstract

Studies of the $\Delta$ baryon resonance and the $K_0^\ast(700)$ and $a_0(980)$ meson resonances using $N_f=2+1$ lattice QCD for pion masses near 200 MeV are presented. The $s$-wave scattering lengths for both the $I=1/2$ $N \pi$ and $I=3/2$ $N \pi$ channels and properties of the $\Delta$ resonance are identified from the finite-volume energy levels of the lattice simulation. The importance of a three-quark $\Delta$-operator in the $N\pi$ system and tetraquark operators in the mesonic systems is investigated.

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John Bulava, Danny Darvish, Andrew D. Hanlon, Ben Hörz, Colin Morningstar, Amy Nicholson, Fernando Romero-López, Sarah Skinner, Pavlos Vranas, André Walker-Loud. 2023-12-15. Lattice QCD studies of the $\Delta$ baryon resonance and the $K_0^\ast(700)$ and $a_0(980)$ meson resonances: the role of exotic operators in determining the finite-volume spectrum. https://arxiv.org/abs/2312.10184

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