I=2 pipi scattering from fully-dynamical mixed-action lattice QCD

Creators: Beane, Silas R.; Bedaque, Paulo F.; Orginos, Kostas; Savage, Martin J.; NPLQCD Collaboration

Abstract

We compute the I=2 pipi scattering length at pion masses of mpi~294, 348, and 484 MeV in fully-dynamical lattice QCD using Lüscher's finite-volume method. The calculation is performed with domain-wall valence-quark propagators on asqtad-improved MILC configurations with staggered sea quarks at a single lattice spacing, b~0.125 fm. Chiral perturbation theory is used to perform the extrapolation of the scattering length from lattice quark masses down to the physical value, and we find mpia2=-0.0426±0.0006±0.0003±0.0018, in good agreement with experiment. The I=2 pipi scattering phase shift is calculated to be delta=-43±10±5° at |p|~544 MeV for mpi~484 MeV.

Additional Information

©2006 The American Physical Society (Received 1 July 2005; revised 24 January 2006; published 13 March 2006) We thank R. Edwards for help with the QDP++/CHROMA programming environment [39] with which the calculations discussed here were performed. We also are indebted to the MILC and the LHP collaborations for use of their configurations and propagators, respectively. M.J.S. would like to thank the Center for Theoretical Physics at MIT and the High-Energy and the Nuclear-Theory groups at Caltech for kind hospitality during the completion of this work. The work of M.J.S. is supported in part by the U.S. Department of Energy under Grant No. DE-FG03-97ER4014. The work of K.O. is supported in part by the U.S. Deptartment of Energy under Grant No. DF-FC02-94ER40818. P.F.B. was supported in part by the Director, Office of Energy Research, Office of High Energy and Nuclear Physics, by the Office of Basic Energy Sciences, Division of Nuclear Sciences, of the U.S. Department of Energy under Contract No. DE-AC03-76SF00098. The work of S.R.B. is supported in part by the National Science Foundation under Grant No. PHY-0400231 and by DOE Contract No. DE-AC05-84ER40150, under which the Southeastern Universities Research Association (SURA) operates the Thomas Jefferson National Accelerator Facility.

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