Two Particle States and the $S$-matrix Elements in Multi-channel Scattering
High Energy Physics - Lattice
2010-02-03 v2
Abstract
Using a quantum mechanical model, the exact energy eigenstates for two-particle two-channel scattering are studied in a cubic box with periodic boundary conditions in all three directions. A relation between the exact energy eigenvalue in the box and the two-channel -matrix elements in the continuum is obtained. This result can be viewed as a generalization of the well-known L\"uscher's formula which establishes a similar relation in elastic scattering.
Keywords
Cite
@article{arxiv.hep-lat/0504019,
title = {Two Particle States and the $S$-matrix Elements in Multi-channel Scattering},
author = {Song He and Xu Feng and Chuan Liu},
journal= {arXiv preprint arXiv:hep-lat/0504019},
year = {2010}
}
Comments
18 pages, no figures. minor changes compared with previous version