Nucleon matrix elements using the variational method in lattice QCD

J. Dragos, R. Horsley, W. Kamleh, D. B. Leinweber, Y. Nakamura, P. E. L. Rakow, G. Schierholz, R. D. Young, and J. M. Zanotti
Phys. Rev. D 94, 074505 – Published 25 October 2016

Abstract

The extraction of hadron matrix elements in lattice QCD using the standard two- and three-point correlator functions demands careful attention to systematic uncertainties. One of the most commonly studied sources of systematic error is contamination from excited states. We apply the variational method to calculate the axial vector current gA, the scalar current gS, the scalar current gT and the quark momentum fraction x of the nucleon and we compare the results to the more commonly used summation and two-exponential fit methods. The results demonstrate that the variational approach offers a more efficient and robust method for the determination of nucleon matrix elements.

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  • Received 17 June 2016

DOI:https://doi.org/10.1103/PhysRevD.94.074505

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

J. Dragos1, R. Horsley2, W. Kamleh1, D. B. Leinweber1, Y. Nakamura3, P. E. L. Rakow4, G. Schierholz5, R. D. Young1,6, and J. M. Zanotti1

  • 1CSSM, Department of Physics, The University of Adelaide, Adelaide, South Australia 5005, Australia
  • 2School of Physics and Astronomy, University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom
  • 3RIKEN Advanced Institute for Computational Science, Kobe, Hyogo 650-0047, Japan
  • 4Theoretical Physics Division, Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, United Kingdom
  • 5Deutsches Elektronen-Synchrotron DESY, 22603 Hamburg, Germany
  • 6CoEPP, Department of Physics, University of Adelaide, Adelaide, South Australia 5005, Australia

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Issue

Vol. 94, Iss. 7 — 1 October 2016

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