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arXiv 0806.1094nucl-thhep-lat
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格点量子色动力学中的超子-核子力

Hyperon-nucleon force from lattice QCD

H. Nemura, N. Ishii, S. Aoki, T. Hatsuda

摘要:

我们在格点间距为$Ξ^0$ fm的(4.5 fm)^4格点上,采用猝灭格点量子色动力学,通过等时Bethe-Salpeter波函数计算了质子与奇异度为-2的超子之间的相互作用势。在我们的研究中,ud夸克质量对应于$m_π\simeq 0.37$和0.51 GeV,而s夸克质量对应于$m_K$的物理值。中心$p Ξ^0$势在$^1S_0$($^3S_1$)通道中对$r \lsim 0.6$ fm具有强(弱)排斥核心,而在两个通道中的中、长距离($\lsim r \lsim 1.2$ fm为0.6 fm)处具有良好的吸引力. $p Ξ^0$散射长度的符号和它的夸克质量依赖性表明在低能量下两个通道中的净吸引。

英文摘要:

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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