HAL QCD方法和核子-Ω相互作用与夸克质量
HAL QCD method and Nucleon-Omega interaction with physical quark masses
摘要：
在格点QCD中，直接方法和HAL QCD方法都被用来研究重子系统。结果表明，由于散射激发态的污染，在直接方法中从时间相关性测量本征能是困难的，而HAL QCD方法可以利用空间相关性从散射态和基态中提取相互作用的信息.我们研究了HAL QCD方法中导数展开的系统不确定性，发现它在低能时得到了很好的控制。用含时HAL QCD方法研究了具有几乎物理夸克质量的质子-夸克（$N$）-夸克（$Ω$）系统在$m_π\simeq 146$ MeV的$^5$-$_2$通道中的演化.我们发现在所有的距离上相互作用都是吸引的，产生了一个准束缚态，结合能为1.54（0.30）（$^{+0.04}_{-0.10}$）MeV.我们还考虑了$pΩ^{-}$（$^5$ S $_2$）体系中的额外库仑相互作用，其结合能为2.46（0.34）（$^{+0.04}_{-0.01}$）MeV.在重离子碰撞实验中，通过两粒子关联可以寻找到$NΩ$（$^5$ S $_2$）重子。
英文摘要：
In lattice QCD, both direct method and HAL QCD method are used to investigate the two-baryon systems. We show that due to the contamination of the scattering excited states, it is challenging to measure the eigenenergy from the temporal correlation in the direct method, while the HAL QCD method can extract the information of the interaction from both scattering states and ground state by using the spatial correlation. We examine the systematic uncertainty of the derivative expansion in the HAL QCD method, which is found to be well under control at the low energies. By using the time-dependent HAL QCD method, we study the nucleon($N$)-Omega($Ω$) system in the $^5$S$_2$ channel with almost physical quark masses at $m_π\simeq 146$ MeV. We find the interaction is attractive at all distances, which produces a quasi-bound state with the binding energy 1.54(0.30)($^{+0.04}_{-0.10}$) MeV. We also consider the extra Coulomb interaction in the $pΩ^{-}$($^5$S$_2$) system, whose binding energy becomes 2.46(0.34)($^{+0.04}_{-0.01}$) MeV. $NΩ$($^5$S$_2$) dibaryon could be searched through two-particle correlations in the heavy ion collision experiments.
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