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arXiv · 1810.04046

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

Hidekatsu Nemura
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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 $(m_π,m_K)\approx(146,525)$ 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 $ΞΞ$ 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 $ΣN - ΣN$ (the isospin $I=3/2$) diagonal, (2) the $ΛN - ΛN$ diagonal, (3) the $ΛN \rightarrow ΣN$ transition, and (4) the $ΣN - ΣN$ ($I=1/2$) diagonal. Scattering phase shifts for $ΣN$ $(I=3/2)$ system are presented.

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Hidekatsu Nemura. 2018-12-30. Hyperon-Nucleon Interaction from Lattice QCD at ${(m_π,m_K)\approx(146,525)}$ MeV. https://doi.org/10.1063/1.5118402

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