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arxiv: hep-lat/0601033 · v3 · pith:WNA4LIPKnew · submitted 2006-01-25 · ✦ hep-lat · hep-ph· nucl-th

Finite volume corrections to pi-pi scattering

classification ✦ hep-lat hep-phnucl-th
keywords correctionsscatteringchiralenergyfinitelevelspi-piproportional
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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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