Hyperon-nucleon force from lattice QCD

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Abstract

We calculate potentials between a proton and a Ξ0 (hyperon with strangeness -2) through the equal-time Bethe-Salpeter wave function, employing quenched lattice QCD simulations with the plaquette gauge action and the Wilson quark action on (4.5 fm)4 lattice at the lattice spacing a ≃ 0.14   fm. The ud quark mass in our study corresponds to mπ ≃ 0.37 and 0.51 GeV, while the s quark mass corresponds to the physical value of mK. The central p Ξ0 potential has a strong (weak) repulsive core in the 1S0 (3S1) channel for r ≲ 0.6   fm, while the potential has attractive well at medium and long distances (0.6   fm ≲ r ≲ 1.2   fm) in both channels. The sign of the p Ξ0 scattering length and its quark mass dependence indicate a net attraction in both channels at low energies. © 2009.

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Nemura, H., Ishii, N., Aoki, S., & Hatsuda, T. (2009). Hyperon-nucleon force from lattice QCD. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 673(2), 136–141. https://doi.org/10.1016/j.physletb.2009.02.003

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