Coupled-channel scattering in 1+1 dimensional lattice model

Understand

Based on the Lippmann-Schwinger equation approach, a generalized L\"uscher's formula in 1+1 dimensions for two particles scattering in both the elastic and coupled-channel cases in moving frames is derived.

• A 2D coupled-channel scattering lattice model is presented, the model represents a two-coupled-channel resonant scattering scalars system.
• The Monte Carlo simulation is performed on finite lattices and in various moving frames.
• The 2D generalized L\"uscher's formula is used to extract the scattering amplitudes for the coupled-channel system from the discrete finite-volume spectrum.