Peng Guo, Jozef Dudek, Robert Edwards, Adam P. Szczepaniak
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 the phase shifts and inelasticity of a coupled-channel system from the finite-volume spectrum are discussed. Within the same framework, we extend our discussion to a three-particle system. A set of equations which relate the discrete finite-volume energies to the scattering amplitudes are derived under the approximation of the isobar model. These formalisms will, in the near future, be used to extract information about hadron scattering from lattice QCD computations.
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http://arxiv.org/abs/1211.0929
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