Pion and kaon valence quark distribution functions from Dyson-Schwinger equations
Abstract
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.
- Authors:
-
- 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)
- Publication Date:
- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- National Natural Science Foundation of China (NSFC); USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1477738
- Alternate Identifier(s):
- OSTI ID: 1473724
- Grant/Contract Number:
- AC02-06CH11357; 2016-098-N0; 2017-058-N0
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 98; Journal Issue: 5; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Shi, Chao, Mezrag, Cédric, and Zong, Hong-shi. Pion and kaon valence quark distribution functions from Dyson-Schwinger equations. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.98.054029.
Shi, Chao, Mezrag, Cédric, & Zong, Hong-shi. Pion and kaon valence quark distribution functions from Dyson-Schwinger equations. United States. https://doi.org/10.1103/PhysRevD.98.054029
Shi, Chao, Mezrag, Cédric, and Zong, Hong-shi. Tue .
"Pion and kaon valence quark distribution functions from Dyson-Schwinger equations". United States. https://doi.org/10.1103/PhysRevD.98.054029. https://www.osti.gov/servlets/purl/1477738.
@article{osti_1477738,
title = {Pion and kaon valence quark distribution functions from Dyson-Schwinger equations},
author = {Shi, Chao and Mezrag, Cédric and Zong, Hong-shi},
abstractNote = {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.},
doi = {10.1103/PhysRevD.98.054029},
journal = {Physical Review D},
number = 5,
volume = 98,
place = {United States},
year = {Tue Sep 25 00:00:00 EDT 2018},
month = {Tue Sep 25 00:00:00 EDT 2018}
}
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Figures / Tables:
FIG. 1: The pion and kaon PDF at $μ$0 = 520 MeV. The solid black line depict $u$$π$($x$, $μ$0) from our calculation, with blue dotted curve for $u$$K$($x$, $μ$0) and red dashed curve for $s̄$$K$($x$, $μ$0). The gray dot-dashed curve, i.e., Eq. (13), is obtained with algebraic model in [15].more »
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Works referencing / citing this record:
Intrinsic Transverse Motion of the Pion's Valence Quarks
text, January 2018
- Shi, Chao; Cloët, Ian C.
- arXiv
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