2012

The coupled-channel scattering on a torus

Guo, Peng, Dudek, Jozef, Edwards, Robert et al.

Understand

Based on the Hamiltonian formalism approach, a generalized L\"uscher's formula for two particle scattering in both the elastic and coupled-channel cases in moving frames is derived from a relativistic Lippmann-Schwinger equation.

Some strategies for extracting scattering amplitudes for a coupled-channel system from the discrete finite-volume spectrum are discussed and illustrated with a toy model of two-channel resonant scattering.
This formalism will, in the near future, be used to extract information about hadron scattering from lattice QCD computations.

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