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Phase shift of isospin-2 ππ scattering from lattice QCD

Jozef J. Dudek1,2,*, Robert G. Edwards1, Michael J. Peardon3, David G. Richards1, and Christopher E. Thomas1 (for the Hadron Spectrum Collaboration)

  • 1Jefferson Laboratory, 12000 Jefferson Avenue, Newport News, Virginia 23606, USA
  • 2Department of Physics, Old Dominion University, Norfolk, Virginia 23529, USA
  • 3School of Mathematics, Trinity College, Dublin 2, Ireland

  • *dudek@jlab.org
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Phys. Rev. D 83, 071504(R) – Published 21 April, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.071504

Abstract

Finite-volume lattice QCD calculations offer the possibility of extracting resonance parameters from the energy-dependent elastic phase-shift computed using the Lüscher technique. In this letter, as a trial of the method, we report on the extraction of the nonresonant phase-shift for S and D-wave ππ isospin-2 scattering from dynamical lattice QCD computations. We define a variational basis of operators resembling pairs of pions of definite relative momentum and extract a spectrum of excited states that maps to phase-shifts at a set of discrete scattering momenta. Computations are performed with pion masses between 400 and 520 MeV on multiple spatial volumes. We observe no significant quark mass dependence in the phase-shifts extracted which are in reasonable agreement with the available experimental data at low momentum.

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Phys. Rev. D 83, 071504(R)– Published 21 April, 2011
  • Received 1 December 2010
Article part of CHORUS

© 2011 American Physical Society

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