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arXiv · 0806.1094

Hyperon-nucleon force from lattice QCD

H. Nemura·N. Ishii·S. Aoki·T. Hatsuda
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Abstract

We calculate potentials between a proton and a $Ξ^0$ (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 $a \simeq 0.14$ fm. The ud quark mass in our study corresponds to $m_π\simeq 0.37$ and 0.51 GeV, while the s quark mass corresponds to the physical value of $m_K$. The central $p Ξ^0$ potential has a strong (weak) repulsive core in the $^1S_0$ ($^3S_1$) channel for $r \lsim 0.6$ fm, while the potential has attractive well at the medium and long distances (0.6 fm $\lsim r \lsim 1.2$ fm) in both channels. The sign of the $p Ξ^0$ scattering length and its quark mass dependence indicate a net attraction in both channels at low energies.

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H. Nemura, N. Ishii, S. Aoki, T. Hatsuda. 2009-02-05. Hyperon-nucleon force from lattice QCD. https://doi.org/10.1016/j.physletb.2009.02.003

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