Nucleon Spin and Momentum Decomposition Using Lattice QCD Simulations

C. Alexandrou, M. Constantinou, K. Hadjiyiannakou, K. Jansen, C. Kallidonis, G. Koutsou, A. Vaquero Avilés-Casco, and C. Wiese
Phys. Rev. Lett. 119, 142002 – Published 6 October 2017

Abstract

We determine within lattice QCD the nucleon spin carried by valence and sea quarks and gluons. The calculation is performed using an ensemble of gauge configurations with two degenerate light quarks with mass fixed to approximately reproduce the physical pion mass. We find that the total angular momentum carried by the quarks in the nucleon is Ju+d+s=0.408(61)stat(48)syst and the gluon contribution is Jg=0.133(11)stat(14)syst, giving a total of JN=0.54(6)stat(5)syst that is consistent with the spin sum. For the quark intrinsic spin contribution, we obtain 12ΔΣu+d+s=0.201(17)stat(5)syst. All quantities are given in the modified minimal subtraction scheme at 2 GeV. The quark and gluon momentum fractions are also computed and add up to xu+d+s+xg=0.804(121)stat(95)syst+0.267(12)stat(10)syst=1.07(12)stat(10)syst, thus satisfying the momentum sum.

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  • Received 9 June 2017

DOI:https://doi.org/10.1103/PhysRevLett.119.142002

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

C. Alexandrou1,2, M. Constantinou3, K. Hadjiyiannakou2, K. Jansen4, C. Kallidonis2, G. Koutsou2, A. Vaquero Avilés-Casco5, and C. Wiese4

  • 1Department of Physics, University of Cyprus, P.O. Box 20537, 1678 Nicosia, Cyprus
  • 2Computation-based Science and Technology Research Center, The Cyprus Institute, 20 Kavafi Street, Nicosia 2121, Cyprus
  • 3Department of Physics, Temple University, 1925 North 12th Street, Philadelphia, Pennsylvania 19122-1801, USA
  • 4NIC, DESY, Platanenallee 6, D-15738 Zeuthen, Germany
  • 5Department of Physics and Astronomy, University of Utah, Salt Lake City, Utah 84112, USA

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Vol. 119, Iss. 14 — 6 October 2017

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