Resonance Scattering Phase Shifts on a Non-Rest Frame Lattice

Details Resonance Scattering Phase Shifts on a Non-Rest Frame Lattice Resonance Scattering Phase Shifts on a Non-Rest Frame Lattice

1995-03-31

arxiv.org/abs/hep-lat/9503028v1

Nucl.Phys. B450 (1995) 397-436

Physics

High Energy Physics

High Energy Physics - Lattice

45 pages Latex; epsf.sty; 15 ps-figures in an uuencoded compressed file

Scientific paper

10.1016/0550-3213(95)00313-H

Many low energy hadrons, such as the rho, can be observed as resonances in scattering experiments. A proposal by L\"uscher 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.

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