Finite volume corrections to pi-pi scattering

Details Finite volume corrections to pi-pi scattering Finite volume corrections to pi-pi scattering

2006-01-25

arxiv.org/abs/hep-lat/0601033v3

Phys.Rev. D73 (2006) 074501

Physics

High Energy Physics

High Energy Physics - Lattice

17 pages, 2 figures, 1 table. Version published in PRD

Scientific paper

10.1103/PhysRevD.73.074501

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(-m_pi 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.

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