Friday·February 3, 2017

[Submitted on 2 Feb 2017] (cross-list from hep-lat)

Lambda-Nucleon and Sigma-Nucleon interactions from lattice QCD with physical masses

Hidekatsu Nemura🇯🇵 · Sinya Aoki🇯🇵 · Takumi Doi🇯🇵 · Shinya Gongyo🇫🇷 · Tetsuo Hatsuda🇯🇵 · Yoichi Ikeda🇯🇵 · Takashi Inoue🇯🇵 · Takumi Iritani🇯🇵 · Noriyoshi Ishii🇯🇵 · Takaya Miyamoto🇯🇵 · Keiko Murano🇯🇵 · Kenji Sasaki🇯🇵

We present our recent study on baryon-baryon ($BB$) interactions 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 $BB$ interactions based on lattice QCD calculation with almost physical masses and to make better use of such large scale computer resources, a large number of $BB$ interactions from $NN$ to $\Xi \Xi$ are calculated simultaneously. In this report, we focus on the strangeness $S=-1$ channels of the hyperon interactions by means of HAL QCD method. The coupled-channel HAL QCD method is briefly outlined. The snapshots of central and tensor potentials in ${}^1{S}_0$ and ${}^3{S}_1{-}^3{D}_1$ channels are presented for $\Lambda N$, $\Sigma N$ (both the isospin $I=1/2,3/2$) and their coupled-channel systems.