Lambda-Nucleon and Nucleon-Nucleon Interactions on the Lattice

Lattice QCD study of nuclear potentials is reported. A lattice QCD method to calculate realistic nuclear potentials is developed. In this method, Bethe-Salpeter wave functions generated on the lattice are used to reconstruct nuclear potentials by using Schroedinger equation. It is one of the possible extensions of Luescher's finite volume method for scattering phase shifts. Hence the resulting potential can reproduce the scattering data. The method was first applied to the central potential in NN system. It is now applied to various objects, such as tensor potential, hyperon potentials both in quenched QCD and 2 + 1 flavor QCD generated by PACS-CS Collaboration. (author)