Hyperon-nucleon potentials from lattice QCD

Abstract

We calculate $p{\Xi }^0$ potentials from the equal-time Bethe-Salpeter amplitude measured in the quenched QCD simulation with the spatial lattice volume, (4.4 fm)${}^3$. The standard Wilson gauge action with the gauge coupling $\beta =5.7$ on $32^4$ lattice together with the standard Wilson quark action are used. The hopping parameter ${\kappa }_{ud}=0.1678$ is chosen for $u$ and $d$ quarks, which corresponds to $m_{\pi }\simeq 0.37$ GeV. The physical strange quark mass is used by taking the parameter ${\kappa }_s=0.1643$ which is deduced from the physical $K$ meson mass. The lattice spacing $a=0.1420$ fm is determined by the physical $\rho$ meson mass. We find that the $p{\Xi }^0$ potential has strong spin dependence. Strong repulsive core is found in ${}^1{S}_0$ channel while the effective central potential in the ${}^3{S}_1$ channel has relatively weak repulsive core. The potentials also have weak attractive parts in the medium to long distance region (0.6 fm $\lsim r \lsim 1.2$ fm) in both of the ${}^1{S}_0$ and ${}^3{S}_1$ channels.

UTCCS-P-38, UT-554, TKYNT-07-16, 7pages, talk presented at the XXV International Symposium on Lattice Field Theory (Lattice 2007), 30 Jul - 4 Aug 2007, Regensburg, Germany