Pion and kaon valence quark distribution functions from Dyson-Schwinger equations

Shi, Chao; Mezrag, Cédric; Zong, Hong-shi

doi:10.1103/PhysRevD.98.054029

Title: Pion and kaon valence quark distribution functions from Dyson-Schwinger equations

Journal Article · 25 September 2018 · Physical Review D

DOI: https://doi.org/10.1103/PhysRevD.98.054029 · OSTI ID:1477738

Shi, Chao ^[1]; Mezrag, Cédric ^[2]; Zong, Hong-shi ^[3]

Argonne National Lab. (ANL), Argonne, IL (United States)
National Inst. of Nuclear Physics (INFN), Rome (Italy)
Nanjing Univ., Jiangsu (China); Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing (China)

Using realistic quark propagators and meson Bethe-Salpeter amplitudes based on the Dyson-Schwinger equations, we calculate the pion and kaon's valence parton distribution functions (PDF) through the modified impulse approximation. The PDFs we obtained at hadronic scale have the purely valence characteristic and exhibit both dynamical chiral symmetry breaking and SU(3) flavor symmetry breaking effects. A new calculation technique is introduced to determine the valence PDFs with precision. Through next-to-leading order (NLO) evolution, our result is compared with pion and kaon valence PDF data at experimental scale. Good agreement is found in the case of pion, while deviation emerges for kaon. We point out this situation can potentially be resolved by incorporating gluon contributions into the mesons if the pion hosts more gluons than kaon nonperturbatively.

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Research Organization:: Argonne National Lab. (ANL), Argonne, IL (United States)

Sponsoring Organization:: National Natural Science Foundation of China (NSFC); USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1477738

Journal Information:: Physical Review D, Journal Name: Physical Review D Journal Issue: 5 Vol. 98; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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