Baryon interactions from lattice QCD with physical quark masses – Nuclear forces and ΞΞ forces –

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

doi:10.1051/epjconf/201817505009

Abstract

We present the latest lattice QCD results for baryon interactions obtained at nearly physical quark masses. Nf = 2 + 1 nonperturbatively O(a)-improved Wilson quark action with stout smearing and Iwasaki gauge action are employed on the lattice of (96a)4 ≃(8.1fm)4 with a-1 ≃2.3 GeV, where mπ ≃146 MeV and mK ≃525 MeV. In this report, we study the two-nucleon systems and two-Ξ systems in 1S0 channel and 3S1-3D1 coupled channel, and extract central and tensor interactions by the HAL QCD method. We also present the results for the NΩ interaction in 5S2 channel which is relevant to the NΩ pair-momentum correlation in heavy-ion collision experiments.

Highlights

In quest of the coherent unification of physics in different hierarchies, the baryon interactions serve as “the bridge from quarks to nuclei and cosmos” [1]
Nuclear forces and hyperon forces govern the properties of nuclei, and have been the subject of intensive theoretical/experimental investigations. These interactions play a crucial role in the equation of state (EoS) of high dense matter, which is realized at the core of neutron stars
We have presented the latest lattice QCD results for baryon interactions at nearly physical quark masses, mπ 146 MeV and mK 525 MeV on a large lattice box (96a)4 (8.1fm

Summary

Introduction

In quest of the coherent unification of physics in different hierarchies, the baryon interactions serve as “the bridge from quarks to nuclei and cosmos” (particle-, nuclear- and astro- physics) [1]. Nuclear forces and hyperon forces govern the properties of (hyper) nuclei, and have been the subject of intensive theoretical/experimental investigations These interactions play a crucial role in the equation of state (EoS) of high dense matter, which is realized at the core of neutron stars. Time-dependent HAL QCD method enables us to extract baryon interactions without relying on the ground state saturation [6]. This is the indispensable feature for a reliable LQCD calculation of baryon interactions, since a typical excitation energy in multibaryon systems is one to two orders of magnitude smaller than O(ΛQCD) due to the existence of elastic excited states. We present the first physical point results of the NΩ (5S 2) interaction, which can be examined through the NΩ correlation in relativistic heavy-ion collision [19]

Formalism

Lattice QCD setup

Summary