Baryon interactions from lattice QCD with physical masses --- strangeness $S=-1$ sector ---

We present our recent results of baryon interactions with strangeness $S=-1$ based on Nambu-Bethe-Salpeter (NBS) correlation functions calculated from lattice QCD with almost physical quark masses corresponding to $(m_{\pi },m_K)\approx (146,525)$ MeV and large volume $(La{)}^4=(96a{)}^4\approx$ (8.1 fm)${}^4$. In order to perform a comprehensive study of baryon interactions, a large number of NBS correlation functions from NN to $\mathrm{\Xi }\mathrm{\Xi }$ are calculated simultaneously by using large scale computer resources. In this contribution, we focus on the strangeness $S=-1$ channels of the hyperon interactions by means of HAL QCD method. Four sets of three potentials (the ${}^3{S}_1{-}^3{D}_1$ central, ${}^3{S}_1{-}^3{D}_1$ tensor, and the ${}^1{S}_0$ central potentials) are presented for the $\mathrm{\Sigma }N-\mathrm{\Sigma }N$ (the isospin $I=3\mathrm{/}2$) diagonal, the $\mathrm{\Lambda }N-\mathrm{\Lambda }N$ diagonal, the $\mathrm{\Lambda }N\to \mathrm{\Sigma }N$ transition, and the $\mathrm{\Sigma }N-\mathrm{\Sigma }N$ ($I=1\mathrm{/}2$) diagonal interactions. Scattering phase shifts for $\mathrm{\Sigma }N$ $(I=3\mathrm{/}2)$ system are presented.