The coupled-channel scattering on a torus
High Energy Physics - Lattice
2013-08-09 v2 High Energy Physics - Phenomenology
Abstract
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.
Cite
@article{arxiv.1211.0929,
title = {The coupled-channel scattering on a torus},
author = {Peng Guo and Jozef Dudek and Robert Edwards and Adam P. Szczepaniak},
journal= {arXiv preprint arXiv:1211.0929},
year = {2013}
}
Comments
Shortened version, section V removed and to be submitted separately