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Two-baryon systems with twisted boundary conditions

Raúl A. Briceño1,*, Zohreh Davoudi2,3,†, Thomas C. Luu4,5,‡, and Martin J. Savage2,3,§

  • 1Jefferson Laboratory, 12000 Jefferson Avenue, Newport News, Virginia 23606, USA
  • 2Department of Physics, University of Washington, Box 351560, Seattle, Washington 98195, USA
  • 3Institute for Nuclear Theory, Box 351550, Seattle, Washington 98195-1550, USA
  • 4Institute for Advanced Simulation, Forschungszentrum Jülich, D-52425 Jülich, Germany
  • 5Institut für Kernphysik and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425 Jülich, Germany

  • *rbriceno@jlab.org
  • †davoudi@uw.edu
  • ‡t.luu@fz-juelich.de
  • §mjs5@uw.edu
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Phys. Rev. D 89, 074509 – Published 11 April, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.074509

Abstract

We explore the use of twisted boundary conditions in extracting the nucleon mass and the binding energy of two-baryon systems, such as the deuteron, from lattice QCD calculations. Averaging the results of calculations performed with periodic and antiperiodic boundary conditions imposed upon the light-quark fields, or other pairwise averages, improves the volume dependence of the deuteron binding energy from ∼e−κL/L to ∼e−2κL/L. However, a twist angle of π/2 in each of the spatial directions improves the volume dependence from ∼e−κL/L to ∼e−2κL/L. Twist averaging the binding energy with a random sampling of twist angles improves the volume dependence from ∼e−κL/L to ∼e−2κL/L, but with a standard deviation of ∼e−κL/L, introducing a signal-to-noise issue in modest lattice volumes. Using the experimentally determined phase shifts and mixing angles, we determine the expected energies of the deuteron states over a range of cubic lattice volumes for a selection of twisted boundary conditions.

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Phys. Rev. D 89, 074509– Published 11 April, 2014
  • Received 18 December 2013

© 2014 American Physical Society

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