@misc{10481/72695,
year = {2022},
month = {1},
url = {http://hdl.handle.net/10481/72695},
abstract = {Analyses of the pion valence-quark distribution function (DF), u(pi) (x; sigma), which explicitly incorporate the behaviour of the pion wave function prescribed by quantum chromodynamics (QCD), predict u(pi) (x similar or equal to 1; sigma) similar to (1 - x)(beta(sigma)), beta(sigma greater than or similar to m(p)) > 2, where mp is the proton mass. Nevertheless, more than forty years after the first experiment to collect data suitable for extracting the x similar or equal to 1 behaviour of up, the empirical status remains uncertain because some methods used to fit existing data return a result for up 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.},
organization = {National Natural Science Foundation of China (NSFC)	12135007	
11805097},
organization = {Spanish Government
European Commission	PID2020-113334GB	
PID2019-107844GBC22},
organization = {Generalitat Valenciana
European Commission},
organization = {General Electric	Prometeo/2019/087},
organization = {Junta de Andalucia	P18-FR-5057	
UHU-1264517	
UHU EPIT2021},
organization = {STRONG-2020 "The strong interaction at the frontier of knowledge: fundamental research and applications" - European Union's Horizon 2020 research and innovation programme	824093},
organization = {Helmholtz-Zentrum Dresden-Rossendorf High Potential Programme},
publisher = {Springer},
title = {Concerning pion parton distributions},
doi = {10.1140/epja/s10050-021-00658-7},
author = {Cui, Z. F. and Raya Montaño, Khépani},
}