Three particles in a finite volume
High Energy Physics - Lattice
2015-06-04 v2 High Energy Physics - Phenomenology
Nuclear Theory
Abstract
Within the non-relativistic potential scattering theory, we derive a generalized version of the L\"uscher formula, which includes three-particle inelastic channels. Faddeev equations in a finite volume are discussed in detail. It is proved that, even in the presence of the three-particle intermediate states, the discrete spectrum in a finite box is determined by the infinite-volume elements of the scattering S-matrix up to corrections, exponentially suppressed at large volumes.
Cite
@article{arxiv.1203.1241,
title = {Three particles in a finite volume},
author = {Kathryn Polejaeva and Akaki Rusetsky},
journal= {arXiv preprint arXiv:1203.1241},
year = {2015}
}
Comments
40 pages, 2 figures