%0 Journal Article %T Concerning pion parton distributions %A Cui, Z. F. %A Ding, M. %A Morgado, J. M. %A Raya, K. %A Binosi, D. %A Chang, L. %A Papavassiliou, J. %A Roberts, C. D. %A Rodriguez-Quintero, J. %A Schmidt, S. M. %J European Physical Journal A %D 2022 %V 58 %N 1 %I Springer %@ 1434-6001 %G English %F Cui_etal2022 %O WOS:000746605900001 %O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=5083), last updated on Mon, 31 Jan 2022 08:16:21 +0000 %X 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. %R 10.1140/epja/s10050-021-00658-7 %U https://arxiv.org/abs/2112.09210 %U https://doi.org/10.1140/epja/s10050-021-00658-7 %P 10-14pp