Transverse force on transversely polarized quarks in longitudinally polarized nucleons

Manal Abdallah and Matthias Burkardt
Phys. Rev. D 94, 094040 – Published 28 November 2016

Abstract

We study the semiclassical interpretation of the x3 and x4 moments of twist-3 parton distribution functions (PDFs). While no semiclassical interpretation for the higher moments of gT(x) and e(x) was found, the x3 moment of the chirally odd spin-dependent twist-3 PDF hL3(x) can be related to the longitudinal gradient of the transverse force on transversely polarized quarks in longitudinally polarized nucleons in a deep-inelastic scattering experiment. We discuss how this result relates to the torque acting on a quark in the same experiment. This has further implications for comparisons between the Jaffe-Manohar and the Ji decompositions of the nucleon spin.

  • Figure
  • Received 30 September 2016

DOI:https://doi.org/10.1103/PhysRevD.94.094040

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Nuclear PhysicsParticles & Fields

Authors & Affiliations

Manal Abdallah and Matthias Burkardt

  • Department of Physics, New Mexico State University, Las Cruces, New Mexico 88003-0001, USA

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Issue

Vol. 94, Iss. 9 — 1 November 2016

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