Baryon interactions from lattice QCD with physical quark masses -- Nuclear forces and $\mathrm{\Xi }\mathrm{\Xi }$ forces --

We present the latest lattice QCD results for baryon interactions obtained at nearly physical quark masses. $N_f=2+1$ nonperturbatively ${\cal O}(a)$-improved Wilson quark action with stout smearing and Iwasaki gauge action are employed on the lattice of $(96a{)}^4\simeq (8.1fm{)}^4$ with $a^{-1}\simeq 2.3$ GeV, where $m_{\pi }\simeq 146$ MeV and $m_K\simeq 525$ MeV. In this report, we study the two-nucleon systems and two-$\mathrm{\Xi }$ systems in ${}^1{S}_0$ channel and ${}^3{S}_1$-${}^3{D}_1$ coupled channel, and extract central and tensor interactions by the HAL QCD method. We also present the results for the $N\mathrm{\Omega }$ interaction in ${}^5{S}_2$ channel which is relevant to the $N\mathrm{\Omega }$ pair-momentum correlation in heavy-ion collision experiments.