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Polynomiality sum rules for generalized parton distributions of spin-1 targets

W. Cosyn1,*, A. Freese2,†, and B. Pire3,‡

  • 1Department of Physics and Astronomy, Ghent University, Proeftuinstraat 86, B9000 Ghent, Belgium
  • 2Argonne National Laboratory, Lemont, Illinois 60439, USA
  • 3Centre de Physique Théorique, CNRS, École Polytechnique, I. P. Paris, F-91128 Palaiseau, France

  • *wim.cosyn@ugent.be
  • †afreese@anl.gov
  • ‡bernard.pire@polytechnique.edu
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Phys. Rev. D 99, 094035 – Published 28 May, 2019

DOI: https://doi.org/10.1103/PhysRevD.99.094035

Abstract

We present the polynomiality sum rules for all leading-twist quark and gluon generalized parton distributions (GPDs) of spin-1 targets such as the deuteron nucleus. The sum rules connect the Mellin moments of these GPDs to polynomials in skewness parameter ξ, which contain generalized form factors as their coefficients. The decompositions of local currents in terms of generalized form factors for spin-1 targets are obtained as a by-product of this derivation.

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Transversity generalized parton distributions for the deuteron

W. Cosyn and B. Pire
Phys. Rev. D 98, 074020 (2018)

Article Text

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Phys. Rev. D 99, 094035– Published 28 May, 2019
  • Received 10 December 2018
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