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 ${}^1{S}_0$ central, (ii) the ${}^3{S}_1{-}^3{D}_1$ central, and (iii) ${}^3{S}_1{-}^3{D}_1$ 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 $\Lambda N\to \Sigma N$ transition, and (4) the $\Sigma N-\Sigma N$ ($I=1/2$) diagonal. Scattering phase shifts for $\Sigma N$ $(I=3/2)$ system are presented.

Comments: Talk given at the 13th International Conference on Hypernuclear and Strange Particle Physics (HYP2018), Portsmouth, VA, June 24-29, 2018, 8 pages, 17 figures. arXiv admin note: substantial text overlap with arXiv:1711.07003. minor corrections including references added