Lattice QCD study for the YN and YY interactions*

Lattice QCD calculation for baryon interactions play a vital role to build a bridge between particle, nuclear and astro-physics. In particular, the determination of hyperon forces is of urgent importance due to their impact on equation of state (EoS) of high dense matter. Lattice QCD opens a unique opportunity with its ability to achieve better precision for larger strangeness |S|, as opposed to the experimental determination which suffers from larger uncertainties for larger |S|.
Thanks to the progress in theoretical formulation, the increase of computational capability of supercomputers and the development of software algorithm, we successfully performed the first LQCD calculation of baryon forces with (almost) physical quark masses ($m_\pi$=146 MeV) on a large lattice box ($L^4$=(8fm)$^4$), where the interactions are extracted from Nambu-Bethe-Salpeter (NBS) correlators by the time-dependent HAL QCD method. In this talk, we present the latest results for YN and YY interactions and discuss their physical implications.