Emergence of pion parton distributions

Letter
Open Access

Emergence of pion parton distributions

Z.-F. Cui ((崔著钫)), M. Ding ((丁明慧)), J. M. Morgado, K. Raya, D. Binosi, L. Chang ((常雷)), F. De Soto, C. D. Roberts, J. Rodríguez-Quintero, and S. M. Schmidt

Phys. Rev. D 105, L091502 – Published 20 May 2022

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.

Received 3 January 2022
Revised 7 March 2022
Accepted 20 April 2022

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

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Bethe-Salpeter equation Bound states Deep inelastic scattering Hadron-hadron interactions Lattice QCD Quantum chromodynamics

Pions

Functional analytical methods

Nuclear PhysicsParticles & Fields

Authors & Affiliations

Z.-F. Cui ((崔著钫))^1,2, M. Ding ((丁明慧))³, J. M. Morgado ⁴, K. Raya ^5,6, D. Binosi ^7,*, L. Chang ((常雷))^8,†, F. De Soto ⁹, C. D. Roberts ^1,2,‡, J. Rodríguez-Quintero ^4,§, and S. M. Schmidt ^3,10,∥

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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Issue

Vol. 105, Iss. 9 — 1 May 2022

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Physical Review D

covering particles, fields, gravitation, and cosmology