HAL QCD method and Nucleon-Omega interaction with physical quark masses

HAL QCD method and Nucleon-Omega interaction with physical quark masses
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DOI:
10.22323/1.334.0090
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发表时间:
2018-11
期刊:
Proceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)
影响因子:
--
通讯作者:
T. Iritani;for Hal Qcd Collaboration
T. Iritani;for Hal Qcd Collaboration
中科院分区:
其他
文献类型:
--
作者:
T. Iritani;for Hal Qcd Collaboration

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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方法研究了夸克质量为146$ MeV的核子($N$)-Ω($\Omega$)系统.我们发现在所有距离上相互作用都是吸引的,产生了一个准束缚态,束缚能为1.54(0.30)($^{+0.04}_{-0.10}$)MeV.我们还考虑了$p\Omega^{-}$($^5$S$_2$)系统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,可以通过两粒子关联寻找N\Omega$($^5$S$_2$)重子。
In lattice QCD, both direct method and HAL QCD method are used to investigate the two-baryon systems. We show that due to the contamination of the scattering excited states, it is challenging to measure the eigenenergy from the temporal correlation in the direct method, while the HAL QCD method can extract the information of the interaction from both scattering states and ground state by using the spatial correlation. We examine the systematic uncertainty of the derivative expansion in the HAL QCD method, which is found to be well under control at the low energies. By using the time-dependent HAL QCD method, we study the nucleon($N$)-Omega($\Omega$) system in the $^5$S$_2$ channel with almost physical quark masses at $m_\pi \simeq 146$ 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 $p\Omega^{-}$($^5$S$_2$) system, whose binding energy becomes 2.46(0.34)($^{+0.04}_{-0.01}$) MeV. $N\Omega$($^5$S$_2$) dibaryon could be searched through two-particle correlations in the heavy ion collision experiments.