Scattering phases for meson and baryon resonances on general moving-frame lattices

Abstract

A proposal by L\"uscher enables one to compute the scattering phases of elastic two-body systems from the energy levels of the lattice Hamiltonian in a finite volume. In this work, we generalize the formalism to $S$-, $P$- and $D$-wave meson and baryon resonances, and general total momenta. Employing nonvanishing momenta has several advantages, among them making a wider range of energy levels accessible on a single lattice volume and shifting the level crossing to smaller values of ${m}_{\ensuremath{\pi}}L$.