Abstract

Recent studies of (hyperonic) nuclear forces based on lattice QCD are presented. An energy independent nonlocal potential can be obtained from Nambu–Bethe–Salpeter wave function which is measured from the lattice QCD calculation with a set of interpolating fields of baryons, where a time-dependent Schrodinger equation in imaginary time is employed so as to avoid the exact ground state saturation in the numerical computation. The central and the tensor potentials of ΛN and ΣN with isospin I = 2/3 channels are presented as specific numerical examples. We also present an attempt to study the four-nucleon bound state problem using the lattice nuclear potential with stochastic variational method.

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