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

Abstract

A proposal by Lüscher 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 $m_{\pi }L$.

Comments: 41 pages, 3 figures. References added, minor edits to text. Version to be published in Phys. Rev. D