3 years ago

# Baryon interactions from lattice QCD with physical masses --- strangeness $S=-1$ sector ---.

Sinya Aoki, Yoichi Ikeda, Takaya Miyamoto, Takashi Inoue, Kenji Sasaki, Takumi Iritani, Shinya Gongyo, Takumi Doi, Tetsuo Hatsuda, Noriyoshi Ishii, Hidekatsu Nemura

We present our recent results of baryon interactions with strangeness $S=-1$ based on Nambu-Bethe-Salpeter (NBS) correlation functions calculated 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 baryon interactions, a large number of NBS correlation functions from NN to $\Xi\Xi$ are calculated simultaneously by using large scale computer resources. In this contribution, we focus on the strangeness $S=-1$ channels of the hyperon interactions by means of HAL QCD method. Four sets of three potentials (the $^3S_1-^3D_1$ central, $^3S_1-^3D_1$ tensor, and the $^1S_0$ central potentials) are presented for the $\Sigma N - \Sigma N$ (the isospin $I=3/2$) diagonal, the $\Lambda N - \Lambda N$ diagonal, the $\Lambda N \rightarrow \Sigma N$ transition, and the $\Sigma N - \Sigma N$ ($I=1/2$) diagonal interactions. Scattering phase shifts for $\Sigma N$ $(I=3/2)$ system are presented.

Publisher URL: http://arxiv.org/abs/1711.07003

DOI: arXiv:1711.07003v2

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