2006/01/31 by Paulo F. Bedaque, Ikuro Sato, Andre Walker-Loud · 1 citation
Physics and Astronomy · #hep-lat #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.73.074501
published as Phys.Rev.D73:074501,2006 · 17 pages, 2 figures, 1 table. Version published in PRD
arxiv created 2006/04/05 · arxiv updated 2014/11/17
Lattice QCD studies of hadron-hadron interactions are performed by computing the energy levels of the system in a finite box. The shifts in energy levels proportional to inverse powers of the volume are related to scattering parameters in a model independent way. In addition, there are non-universal exponentially suppressed corrections that distort this relation. These terms are proportional to exp(-mpi L) and become relevant as the chiral limit is approached. In this paper we report on a one-loop chiral perturbation theory calculation of the leading exponential corrections in the case of I=2 pi-pi scattering near threshold.