Lambda-Nucleon and Sigma-Nucleon potentials from space-time correlation function on the lattice

The hyperon-nucleon interaction with the strangeness $S=-1$ region is complicated and difficult to investigate because its flavor sector involves all the irreducible representation except the flavor singlet and has the worst signal-to-noise ratio among the strangeness regions. In order to overcome such difficulties the content of this report is twofold: (i) We present an implementation of extended effective baryon block algorithm. This is a straightforward extension of the original which was reported in LATTICE 2013. (ii) We perform single channel analysis for the $\Lambda N$ system at nearly physical quark masses corresponding to $(m_\pi,m_K)\approx(146,525)$~MeV and large volume $(La)^4=(96a)^4\approx$ (8.1 fm)$^4$. Scattering phase shifts for $\Lambda N$ system are presented.