Scattering phase shifts of a meson-meson system in staggered 3-dimensional
lattice QED are computed. The main task of the simulation is to obtain a
discrete set of two-body energy levels. These are extracted from a 4-point time
correlation matrix and then used to obtain scattering phase shifts. The results
for the l=0 and l=2 partial waves are consistent with short- range repulsion
and intermediate-range attraction of the residual meson- meson interaction