Baryon interactions from lattice QCD with physical masses -- Overview and $S=0,-4$ sectors --

Abstract

Nuclear forces and hyperon forces are studied by lattice QCD. Simulations are performed with (almost) physical quark masses, $m_{\pi }\simeq 146$ MeV and $m_K\simeq 525$ MeV, where $N_f=2+1$ nonperturbatively $\mathcal{O}(a)$-improved Wilson quark action with stout smearing and Iwasaki gauge action are employed on the lattice of $(96a{)}^4\simeq (8.1\text{mbox}fm{)}^4$ with $a^{-1}\simeq 2.3$ GeV. In this report, we give the overview of the theoretical framework and present the numerical results for two-nucleon forces ($S=0$) and two-$\Xi$ forces ($S=-4$). Central forces are studied in ${}^1{S}_0$ channel, and central and tensor forces are obtained in ${}^3{S}_1$-${}^3{D}_1$ coupled channel analysis.

Comments: Talk given at 34th International Symposium on Lattice Field Theory (Lattice 2016), Southampton, UK, 24-30 Jul 2016, 7 pages, 8 figures