Generalized L\"uscher's Formula in Multichannel Baryon-Baryon Scattering
High Energy Physics - Lattice
2014-09-05 v2
Abstract
In this paper, L\"uscher's formula is generalized to the case of two spin- particles in two-channel scattering based on Ref. \cite{Li:2012bi}. This is first done in a non-relativistic quantum mechanics model and then generalized to quantum field theory. We show that L\"uscher's formula obtained from these two different methods are equivalent up to terms that are exponentially suppressed in the box size. This formalism can be readily applied to future lattice QCD calculations.
Keywords
Cite
@article{arxiv.1401.5569,
title = {Generalized L\"uscher's Formula in Multichannel Baryon-Baryon Scattering},
author = {Ning Li and Song-Yuan Li and Chuan Liu},
journal= {arXiv preprint arXiv:1401.5569},
year = {2014}
}
Comments
Introduction expanded and references added. 10 pages, no figures