1995/03/31 by K. Rummukainen, Steven Gottlieb · 3 citations
Physics and Astronomy · #hep-lat #hep-ph
paper · pdf · doi:10.1016/0550-3213(95)00313-h
published as Nucl.Phys. B450 (1995) 397-436 · 45 pages Latex; epsf.sty; 15 ps-figures in an uuencoded compressed file
arxiv created 1995/03/31 · arxiv updated 2011/11/15
Many low energy hadrons, such as the rho, can be observed as resonances in scattering experiments. A proposal by Lüscher enables one to determine infinite volume elastic scattering phases from the two-particle energy spectrum measured from finite periodic lattices. In this work, we generalize the formalism to the case where the total momentum of the particles is non-zero; i.e. the lattice frame is not the center-of-mass frame of the scattering particles. There are several advantages to this procedure including making a wider variety of center of mass energies accessible with a fixed lattice volume, and making the avoided level crossing in a P-wave decay occur with a smaller volume. The formalism is tested with a simple lattice model of two fields with different masses and a 3-point coupling in 3+1 dimensions. We find remarkable agreement between the rest-frame and non-rest-frame scattering.