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Lattice QCD approach to nuclear force

Presenter: Noriyoshi Ishii — Center for Computational Sciences, University of Tsukuba

Noriyoshi Ishii, Sinya Aoki, Tetsuo Hatsuda

Lattice QCD result on nuclear force is presented. Quenched lattice QCD calculations are performed for NN potential employing the plaquette gauge action and the Wilson quark action on 324(≃ (4.4fm)4) lattice. NN potential is reconstructed by demanding that the NN Schrödinger equation is satisfied by equal-time Bethe-Salpeter wave function generated by lattice QCD. Resulting lattice NN potential for mπ∼ 530 MeV has all the qualitative features which phenomenological NN potentials commonly have: the repulsive core at short distance and the attraction at medium and long distances. By construction, our NN potential gives the correct scattering length which is consistent with that obtained from the Lüscher's formula extrapolated to the infinite volume. The quark mass dependence of the NN potential is also studied with mπ∼ 370, 730, 990 MeV. The results suggest that both the repulsive core at short distance and the attraction at medium distance grow in the light quark mass region. Preliminary study with different choice of the interpolating nucleon field will be also reported.