Hyperon-Nucleon Interaction from Lattice QCD at ${(m_\pi,m_K)\approx(146,525)}$ MeV

Abstract

Comprehensive study of generalized baryon-baryon ($BB$) interaction including strangeness is one of the important subject of nuclear physics. In order to obtain a complete set of isospin-base baryon interactions, we perform a large scale lattice QCD calculation 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)$^4$. A large number of Nambu-Bethe-Salpeter (NBS) correlation functions from nucleon-nucleon ($NN$) to $\Xi\Xi$ are calculated simultaneously. In this contribution, we focus on the strangeness $S=-1$ channels of the hyperon interactions by means of HAL QCD method. Three potentials ((i) the $^1S_0$ central, (ii) the $^3S_1-^3D_1$ central, and (iii) $^3S_1-^3D_1$ tensor potentials) are presented for four isospin components; (1) the $\Sigma N - \Sigma N$ (the isospin $I=3/2$) diagonal, (2) the $\Lambda N - \Lambda N$ diagonal, (3) the $\Lambda N \rightarrow \Sigma N$ transition, and (4) the $\Sigma N - \Sigma N$ ($I=1/2$) diagonal. Scattering phase shifts for $\Sigma N$ $(I=3/2)$ system are presented.