Two-nucleon scattering in multiple partial waves

Abstract

We determine scattering phase shifts for S;P;D, and F partial wave channels in two-nucleon systems using lattice QCD methods. We use a generalization of Lüscher's finite volume method to determine infinite volume phase shifts from a set of finite volume ground-And excited-state energy levels on two volumes, V = (3:4fm)3 and V = (4:5fm)3. The calculations are performed in the SU(3)-flavor limit, corresponding to a pION mass of approximately 800 MeV. From the energy dependence of the phase shifts we are able to extract scattering parameters corresponding to an effective range expansion.