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  • Letter
  • Open Access

Emergence of pion parton distributions

Z.-F. Cui ((崔著钫))1,2, M. Ding ((丁明慧))3, J. M. Morgado4, K. Raya5,6, D. Binosi7,*, L. Chang ((常雷))8,†, F. De Soto9, C. D. Roberts1,2,‡, J. Rodríguez-Quintero4,§ et al.

S. M. Schmidt3,10,∥

  • 1School of Physics, Nanjing University, Nanjing, Jiangsu 210093, China
  • 2Institute for Nonperturbative Physics, Nanjing University, Nanjing, Jiangsu 210093, China
  • 3Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstraße 400, D-01328 Dresden, Germany
  • 4Department of Integrated Sciences and Center for Advanced Studies in Physics, Mathematics and Computation, University of Huelva, E-21071 Huelva, Spain
  • 5Departamento de Física Teórica y del Cosmos, Universidad de Granada, E-18071 Granada, Spain
  • 6Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, CDMX 04510, México
  • 7European Centre for Theoretical Studies in Nuclear Physics and Related Areas, Villa Tambosi, Strada delle Tabarelle 286, I-38123 Villazzano (TN), Italy
  • 8School of Physics, Nankai University, Tianjin 300071, China
  • 9Departamento Sistemas Físicos, Químicos y Naturales, Universidad Pablo de Olavide, E-41013 Sevilla, Spain
  • 10RWTH Aachen University, III. Physikalisches Institut B, Aachen D-52074, Germany

  • *binosi@ectstar.eu
  • †leichang@nankai.edu.cn
  • ‡cdroberts@nju.edu.cn
  • §jose.rodriguez@dfaie.uhu.es
  • ∥s.schmidt@hzdr.de
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Phys. Rev. D 105, L091502 – Published 20 May, 2022

DOI: https://doi.org/10.1103/PhysRevD.105.L091502

Abstract

Supposing only that there is an effective charge which defines an evolution scheme for parton distribution functions (DFs) that is all-orders exact, strict lower and upper bounds on all Mellin moments of the valence-quark DFs of pionlike systems are derived. Exploiting contemporary results from numerical simulations of lattice-regularized quantum chromodynamics (QCD) that are consistent with these bounds, parameter-free predictions for pion valence, glue, and sea DFs are obtained. The form of the valence-quark DF at large values of the light-front momentum fraction is consistent with predictions derived using the QCD-prescribed behavior of the pion wave function.

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Phys. Rev. D 105, L091502– Published 20 May, 2022
  • Received 3 January 2022
  • Revised 7 March 2022
  • Accepted 20 April 2022
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