Position space method for the nucleon magnetic moment in lattice QCD

Constantia Alexandrou, Martha Constantinou, Giannis Koutsou, Konstantin Ottnad, and Marcus Petschlies
Phys. Rev. D 94, 074508 – Published 26 October 2016

Abstract

The extraction of the magnetic form factor of the nucleon at zero momentum transfer is usually performed by adopting a parametrization for its momentum dependence and fitting the results obtained at finite momenta. We present a position space method that allows us to remove the momentum prefactor in the form factor decomposition and hence compute the magnetic form factor directly at zero momentum without the need to assume a functional form for its momentum dependence. The method is explored on one ensemble using Nf=2+1+1 Wilson twisted mass fermions with a light quark mass corresponding to Mπ=373MeV and a lattice spacing of a0.082fm. We obtain results for the isovector magnetic moment and for the proton and neutron magnetic moments. The value we find for the isovector magnetic moment is larger as compared to fitting the form factor at the discrete values of the lattice momentum transfers using a dipole Ansatz, bringing it closer to the experimental value.

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  • Received 30 May 2016

DOI:https://doi.org/10.1103/PhysRevD.94.074508

© 2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
  1. Properties
Particles & Fields

Authors & Affiliations

Constantia Alexandrou1,2, Martha Constantinou1,2, Giannis Koutsou2, Konstantin Ottnad1,3,*, and Marcus Petschlies2,3

  • 1Department of Physics, University of Cyprus, P.O. Box 20537, 1678 Nicosia, Cyprus
  • 2Computation-based Science and Technology Research Center, 20 C. Kavafi Street, 2121 Nicosia, Cyprus
  • 3Institut für Strahlen- und Kernphysik (Theorie), Nussallee 14-16 and Bethe Center for Theoretical Physics, Nussallee 12, Universität Bonn, D-53115 Bonn, Germany

  • *Corresponding author. ottnad@hiskp.uni-bonn.de

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Issue

Vol. 94, Iss. 7 — 1 October 2016

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