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

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abstract

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.

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2019 1

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representative citing papers

Hermitizing the HAL QCD potential in the derivative expansion

hep-lat · 2019-09-02 · conditional · novelty 6.0

A formalism is given to convert the non-Hermitian HAL QCD potential into a Hermitian one order by order, with exact treatment at next-to-leading order, and the NLO correction for Xi-Xi(1S0) is small.

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  • Hermitizing the HAL QCD potential in the derivative expansion hep-lat · 2019-09-02 · conditional · none · ref 37 · internal anchor

    A formalism is given to convert the non-Hermitian HAL QCD potential into a Hermitian one order by order, with exact treatment at next-to-leading order, and the NLO correction for Xi-Xi(1S0) is small.