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Proton and pion distribution functions in counterpoint
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abstract
Working with proton and pion valence distribution functions (DFs) determined consistently at the same, unique hadron scale and exploiting the possibility that there is an effective charge which defines an evolution scheme for DFs that is all-orders exact, we obtain a unified body of predictions for all proton and pion DFs - valence, glue, and four-flavour-separated sea. Whilst the hadron light-front momentum fractions carried by identifiable parton classes are the same for the proton and pion at any scale, the pointwise behaviour of the DFs is strongly hadron-dependent. All calculated distributions comply with quantum chromodynamics constraints on low- and high-$x$ scaling behaviour and, owing to emergent hadron mass, pion DFs are the most dilated. These results aid in elucidating the sources of similarities and differences between proton and pion structure.
Forward citations
Cited by 2 Pith papers
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Mapping spatial distributions within pseudoscalar mesons
A new analytic parametrization of meson valence-quark GPDs yields spatial charge and mass distributions and radius ratios for pions, kaons and heavy-light mesons.
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Electroexcitation of Nucleon Resonances and the Emergence of Hadron Mass
A review argues that Jefferson Lab electroproduction data on nucleon resonances, analyzed with continuum Schwinger methods, confirm a momentum-dependent dressed quark mass, the essence of emergent hadron mass.
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