Coupled-channel scattering in 1+1 dimensional lattice model
Based on the Lippmann-Schwinger equation approach, a generalized Luscher’s formula in 1+1 dimensions for two particles scattering in both the elastic and coupled-channel cases in moving frames is derived. A two-dimensional coupled-channel scattering lattice model is presented, which represents a two-coupled-channel resonant scattering scalars system. The Monte Carlo simulation is performed on finite lattices and in various moving frames. The two-dimensional generalized Luscher’s formula is used to extract the scattering amplitudes for the coupled-channel system from the discrete finite-volume spectrum.