Concerning pion parton distributions
The European Physical Journal A, vol. 58
Abstract
Abstract Analyses of the pion valence-quark distribution function (DF), "Equation missing", which explicitly incorporate the behaviour of the pion wave function prescribed by quantum chromodynamics (QCD), predict "Equation missing", $$\beta (\zeta \gtrsim m_p)>2$$ β ( ζ ≳ m p ) > 2 , where $$m_p$$ m p is the proton mass. Nevertheless, more than forty years after the first experiment to collect data suitable for extracting the $$x\simeq 1$$ x ≃ 1 behaviour of "Equation missing", the empirical status remains uncertain because some methods used to fit existing data return a result for "Equation missing" that violates this constraint. Such disagreement entails one of the following conclusions: the analysis concerned is incomplete; not all data being considered are a true expression of qualities intrinsic to the pion; or QCD, as it is currently understood, is not the theory of strong interactions. New, precise data are necessary before a final conclusion is possible. In developing these positions, we exploit a single proposition, viz. there is an effective charge which defines an evolution scheme for parton DFs that is all-orders exact. This proposition has numerous corollaries, which can be used to test the character of any DF, whether fitted or calculated.
Authors 10
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Affiliation as printed
Institute for Nonperturbative Physics, Nanjing University, Nanjing, Jiangsu, 210093, China
School of Physics, Nanjing University, Nanjing, Jiangsu, 210093, China
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Helmholtz-Zentrum Dresden-Rossendorf
Affiliation as printed
Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstraße 400, 01328, Dresden, Germany
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Affiliation as printed
Department of Integrated Sciences and Center for Advanced Studies in Physics, Mathematics and Computation, University of Huelva, 21071, Huelva, Spain
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Universidad de Granada · Universidad Nacional Autónoma de México
Affiliation as printed
Departamento de Física Teórica y del Cosmos, Universidad de Granada, 18071, Granada, Spain
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, CDMX, 04510, Mexico
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European Centre for Theoretical Studies in Nuclear Physics and Related Areas
Affiliation as printed
European Centre for Theoretical Studies in Nuclear Physics and Related Areas, Villa Tambosi, Strada delle Tabarelle 286, 38123, Villazzano, TN, Italy
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Affiliation as printed
School of Physics, Nankai University, Tianjin, 300071, China
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Affiliation as printed
Department of Theoretical Physics and IFIC, University of Valencia and CSIC, 46100, Valencia, Spain
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Craig D. Roberts corresponding
Affiliation as printed
Institute for Nonperturbative Physics, Nanjing University, Nanjing, Jiangsu, 210093, China
School of Physics, Nanjing University, Nanjing, Jiangsu, 210093, China
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Affiliation as printed
Department of Integrated Sciences and Center for Advanced Studies in Physics, Mathematics and Computation, University of Huelva, 21071, Huelva, Spain
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Helmholtz-Zentrum Dresden-Rossendorf · RWTH Aachen University
Affiliation as printed
Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstraße 400, 01328, Dresden, Germany
RWTH Aachen University, III. Physikalisches Institut B, Aachen, 52074, Germany
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