Drawing insights from pion parton distributions
Abstract
A symmetry-preserving continuum approach to the two valence-body bound-state problem is used to calculate the valence, glue and sea distributions within the pion; unifying them with, inter alia, electromagnetic pion elastic and transition form factors. The analysis reveals the following momentum fractions at the scale ζ_2:=2 GeV: < x_{valence} > = 0.48(3), < x_{glue} > = 0.41(2), <; x_{sea} > = 0.11(2); and despite hardening induced by the emergent phenomenon of dynamical chiral symmetry breaking, the valence-quark distribution function, q^π(x), exhibits the x≃ 1 behaviour predicted by quantum chromodynamics (QCD). After evolution to ζ=5.2 GeV, the prediction for q^π(x) matches that obtained using lattice-regularised QCD. This confluence should both stimulate improved analyses of existing data and aid in planning efforts to obtain new data on the pion distribution functions.
- Publication:
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Chinese Physics C
- Pub Date:
- March 2020
- DOI:
- arXiv:
- arXiv:1912.07529
- Bibcode:
- 2020ChPhC..44c1002D
- Keywords:
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- pion;
- parton distribution;
- bound state;
- Dyson-Schwinger equations;
- High Energy Physics - Phenomenology;
- High Energy Physics - Experiment;
- High Energy Physics - Lattice;
- Nuclear Experiment;
- Nuclear Theory
- E-Print:
- 6 pages, 1 figure. To be published as a Letter in Chinese Physics C. arXiv admin note: substantial text overlap with arXiv:1905.05208