Hyperon–nucleon force from lattice QCD
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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 asimilar, equals0.14 fm. The ud quark mass in our study corresponds to mπsimilar, equals0.37 and 0.51 GeV, while the s quark mass corresponds to the physical value of mK. The central pΞ0 potential has a strong (weak) repulsive core in the View the MathML source (View the MathML source) channel for rless, approximate0.6 fm, while the potential has attractive well at medium and long distances (0.6 fmless, approximaterless, approximate1.2 fm) in both channels. The sign of the pΞ0 scattering length and its quark mass dependence indicate a net attraction in both channels at low energies.
- Physics letters. B
Physics letters. B 673(2), 136-141, 2009-03