Nuclear forces from lattice QCD

Abstract

A method to extract nucleon-nucleon (NN) potentials from the Bethe-Salpeter amplitude in lattice QCD is presented. It is applied to the two nucleons on the lattice with quenched QCD simulations. By disentangling the mixing between the S-state and the D-state, we obtain central and tensor potentials in the leading order of the velocity expansion of the non-local NN potential. The spatial structure, the quark mass dependence and the velocity dependence of the NN potential are analyzed. Preliminary result in (2+1)-flavor QCD simulations is also shown.

An Overview of Meson-Nuclear Physics

“…This is a more formal and systematic version of the older approach, still very much in favour, where one calculates nuclear properties using two-, three-and more-body forces, the former fitted to NN data while the latter are fit to chosen sets of nuclear data. The most modern expression of this approach involves the use of the techniques of lattice QCD to compute the interaction of two and three hadrons directly from QCD [31,32]. This is an ambitious long-term program, with current calculations limited to rather small lattice volumes.…”