The coupled-channel scattering on a torus
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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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$D_1$ and $D_2$ resonances in coupled-channel scattering amplitudes from lattice QCD
Lattice QCD at m_π≈391 MeV finds D1 bound state below D*π threshold strongly coupled in S-wave and D1' resonance in elastic D*π region for I=1/2 charmed channels.
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