Finite volume corrections to pi pi scattering

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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 e-m{sub 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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Sato, Ikuro; Bedaque, Paulo F. & Walker-Loud, Andre January 13, 2006.

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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 e-m{sub 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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  • Journal Name: Physical Review D; Journal Volume: 73; Related Information: Journal Publication Date: 01/25/2006

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  • Report No.: LBNL--59327
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 891222
  • Archival Resource Key: ark:/67531/metadc873915

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  • January 13, 2006

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  • Sept. 21, 2016, 2:29 a.m.

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  • Sept. 30, 2016, 2:41 p.m.

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Sato, Ikuro; Bedaque, Paulo F. & Walker-Loud, Andre. Finite volume corrections to pi pi scattering, article, January 13, 2006; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc873915/: accessed September 20, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.