Hyperon-nucleon force from lattice QCD

Abstract

We calculate potentials between a proton and a 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 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 0 potential has a strong (weak) repulsive core in the 1S0 (3S1) channel for r 0.6 fm, while the potential has attractive well at the medium and long distances (0.6 fm r 1.2 fm) in both channels. The sign of the p 0 scattering length and its quark mass dependence indicate a net attraction in both channels at low energies.