Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2008-06-06
Physics
Nuclear Physics
Nuclear Theory
10 gages, 4 figures, version accepted for publication in Physics Letters B
Scientific paper
10.1016/j.physletb.2009.02.003
We calculate potentials between a proton and a $\Xi^0$ (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 $m_{\pi}\simeq 0.37$ and 0.51 GeV, while the s quark mass corresponds to the physical value of $m_K$. The central $p \Xi^0$ 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 $p \Xi^0$ scattering length and its quark mass dependence indicate a net attraction in both channels at low energies.
Aoki Sadao
Hatsuda Tetsuo
Ishii Naohiro
Nemura Hidekatsu
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