NΩ interaction from two approaches in lattice QCD

Abstract

We compare the standard finite volume method by Lüscher with the potential method by HAL QCD collaboration, by calculating the ground state energy of N(nucleon)-Ω(Omega) system in 5 S2 channel. We employ 2+1 flavor full QCD configurations on a (1.9 fm )3×3.8 fm lattice at the lattice spacing a≃0.12 fm , whose ud(s) quark mass corresponds to mπ = 875(1) (mK = 916(1)) MeV . We have found that both methods give reasonably consistent results that there is one NΩ bound state at this parameter.