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In lattice QCD, both direct method and HAL QCD method are used to investigatethe two-baryon systems. We show that due to the contamination of the scatteringexcited states, it is challenging to measure the eigenenergy from the temporalcorrelation in the direct method, while the HAL QCD method can extract theinformation of the interaction from both scattering states and ground state byusing the spatial correlation. We examine the systematic uncertainty of thederivative expansion in the HAL QCD method, which is found to be well undercontrol at the low energies. By using the time-dependent HAL QCD method, westudy the nucleon($N$)-Omega($\Omega$) system in the $^5$S$_2$ channel withalmost physical quark masses at $m_\pi \simeq 146$ MeV. We find the interactionis attractive at all distances, which produces a quasi-bound state with thebinding energy 1.54(0.30)($^{+0.04}_{-0.10}$) MeV. We also consider the extraCoulomb interaction in the $p\Omega^{-}$($^5$S$_2$) system, whose bindingenergy 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 ioncollision experiments.

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