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Title: Pion and kaon parton distribution functions from basis light front quantization and QCD evolution

Abstract

We investigate the parton distribution functions (PDFs) of the pion and the kaon by combining quantum chromodynamics (QCD) evolution with the basis light front quantization. The initial PDFs result from the light front wave functions obtained by diagonalizing the effective Hamiltonian consisting of the holographic QCD confinement potential, a complementary longitudinal confinement potential, and the color-singlet Nambu–Jona-Lasinio interactions. The valence-quark PDF of the pion, after QCD evolution, is consistent with the result from the E-0615 experiment at Fermilab. Meanwhile, the pion structure function calculated from the PDFs agrees with the ZEUS and the H1 experiments at DESY-HERA for large x. Additionally, the ratio of the up quark PDF of the kaon to that of the pion is in agreement with the NA-003 experiment at CERN. Finally, we also present the cross section for the pion-nucleus induced Drell-Yan process with the obtained pion PDFs supplemented by the PDFs of the target nuclei.

Authors:
; ; ; ; ORCiD logo
Publication Date:
Research Org.:
Iowa State Univ., Ames, IA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); China Postdoctoral Science Foundation (CPSF); National Natural Science Foundation of China (NNSFC); Modern Physics Chinese Academy of Sciences
Contributing Org.:
BLFQ Collaboration
OSTI Identifier:
1603471
Alternate Identifier(s):
OSTI ID: 1601073
Grant/Contract Number:  
FG02-87ER40371; SC0018223 2017M623279; 11850410436; Y632030YRC; SC0018223
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 101; Journal Issue: 3; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Pion; Kaon; parton distribution functions; basis light-front quantization; BLFQ; QCD evolution

Citation Formats

Lan, Jiangshan, Mondal, Chandan, Jia, Shaoyang, Zhao, Xingbo, and Vary, James P. Pion and kaon parton distribution functions from basis light front quantization and QCD evolution. United States: N. p., 2020. Web. doi:10.1103/PhysRevD.101.034024.
Lan, Jiangshan, Mondal, Chandan, Jia, Shaoyang, Zhao, Xingbo, & Vary, James P. Pion and kaon parton distribution functions from basis light front quantization and QCD evolution. United States. doi:https://doi.org/10.1103/PhysRevD.101.034024
Lan, Jiangshan, Mondal, Chandan, Jia, Shaoyang, Zhao, Xingbo, and Vary, James P. Thu . "Pion and kaon parton distribution functions from basis light front quantization and QCD evolution". United States. doi:https://doi.org/10.1103/PhysRevD.101.034024. https://www.osti.gov/servlets/purl/1603471.
@article{osti_1603471,
title = {Pion and kaon parton distribution functions from basis light front quantization and QCD evolution},
author = {Lan, Jiangshan and Mondal, Chandan and Jia, Shaoyang and Zhao, Xingbo and Vary, James P.},
abstractNote = {We investigate the parton distribution functions (PDFs) of the pion and the kaon by combining quantum chromodynamics (QCD) evolution with the basis light front quantization. The initial PDFs result from the light front wave functions obtained by diagonalizing the effective Hamiltonian consisting of the holographic QCD confinement potential, a complementary longitudinal confinement potential, and the color-singlet Nambu–Jona-Lasinio interactions. The valence-quark PDF of the pion, after QCD evolution, is consistent with the result from the E-0615 experiment at Fermilab. Meanwhile, the pion structure function calculated from the PDFs agrees with the ZEUS and the H1 experiments at DESY-HERA for large x. Additionally, the ratio of the up quark PDF of the kaon to that of the pion is in agreement with the NA-003 experiment at CERN. Finally, we also present the cross section for the pion-nucleus induced Drell-Yan process with the obtained pion PDFs supplemented by the PDFs of the target nuclei.},
doi = {10.1103/PhysRevD.101.034024},
journal = {Physical Review D},
number = 3,
volume = 101,
place = {United States},
year = {2020},
month = {2}
}

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