Lattice Computation of the Nucleon Scalar Quark Contents at the Physical Point

S. Durr, Z. Fodor, C. Hoelbling, S. D. Katz, S. Krieg, L. Lellouch, T. Lippert, T. Metivet, A. Portelli, K. K. Szabo, C. Torrero, B. C. Toth, and L. Varnhorst (Budapest-Marseille-Wuppertal Collaboration)
Phys. Rev. Lett. 116, 172001 – Published 28 April 2016

Abstract

We present a QCD calculation of the u, d, and s scalar quark contents of nucleons based on 47 lattice ensembles with Nf=2+1 dynamical sea quarks, 5 lattice spacings down to 0.054 fm, lattice sizes up to 6 fm, and pion masses down to 120 MeV. Using the Feynman-Hellmann theorem, we obtain fudN=0.0405(40)(35) and fsN=0.113(45)(40), which translates into σπN=38(3)(3)MeV, σsN=105(41)(37)MeV, and yN=0.20(8)(8) for the sigma terms and the related ratio, where the first errors are statistical and the second errors are systematic. Using isospin relations, we also compute the individual up and down quark contents of the proton and neutron (results in the main text).

  • Figure
  • Figure
  • Received 24 February 2016

DOI:https://doi.org/10.1103/PhysRevLett.116.172001

© 2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
Particles & Fields

Authors & Affiliations

S. Durr1,2, Z. Fodor1,2, C. Hoelbling1, S. D. Katz3,4, S. Krieg1,2, L. Lellouch5, T. Lippert1,2, T. Metivet5,6, A. Portelli5,7, K. K. Szabo1,2, C. Torrero5, B. C. Toth1, and L. Varnhorst1 (Budapest-Marseille-Wuppertal Collaboration)

  • 1Department of Physics, University of Wuppertal, D-42119 Wuppertal, Germany
  • 2Jülich Supercomputing Centre, Forschungszentrum Jülich, D-52428 Jülich, Germany
  • 3Institute for Theoretical Physics, Eötvös University, H-1117 Budapest, Hungary
  • 4MTA-ELTE Lendület Lattice Gauge Theory Research Group, H-1117 Budapest, Hungary
  • 5CNRS, Aix-Marseille U., Université de Toulon, Centre de Physique Théorique, UMR 7332, F-13288 Marseille, France
  • 6CEA-Saclay, IRFU/SPhN, 91191 Gif-sur-Yvette, France
  • 7Higgs Centre for Theoretical Physics, School of Physics and Astronomy, The University of Edinburgh, Edinburgh EH9 3FD, United Kingdom

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 116, Iss. 17 — 29 April 2016

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×