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Title: Generalized parton distributions and spin structures of light mesons from a light-front Hamiltonian approach

Abstract

We present the generalized parton distributions (GPDs) for the valence quarks of the pion and the kaon in both momentum space and position space within the basis light-front quantization framework. These GPDs are obtained from the eigenvectors of a light-front effective Hamiltonian consisting of the holographic quantum chromodynamics (QCD) confinement potential, a complementary longitudinal confinement potential, and the color-singlet Nambu-Jona–Lasinio interactions for the valence quarks of mesons. We then calculate the generalized form factors of the pion and the kaon from the moments of these GPDs. Combining the tensor form factors with the electromagnetic form factors, we subsequently evaluate the impact parameter dependent probability density of transversely polarized quarks inside the pion and the kaon. The numerical results for the generalized form factors, corresponding charges, as well as those for the probability densities and the transverse shift of the polarized densities are consistent with lattice QCD simulations and with chiral quark models.

Authors:
; ORCiD logo; ; ; ; ; ORCiD logo;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
Contributing Org.:
BLFQ Collaboration
OSTI Identifier:
1835636
Alternate Identifier(s):
OSTI ID: 1844250
Grant/Contract Number:  
FG02-87ER40371; SC0018223; AC02-05CH11231; AC02-06CH11357
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 104 Journal Issue: 11; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; bound states; color confinement; nonperturbative effects in field theory; quantum chromodynamics

Citation Formats

Adhikari, Lekha, Mondal, Chandan, Nair, Sreeraj, Xu, Siqi, Jia, Shaoyang, Zhao, Xingbo, Vary, James P., and BLFQ Collaboration. Generalized parton distributions and spin structures of light mesons from a light-front Hamiltonian approach. United States: N. p., 2021. Web. doi:10.1103/PhysRevD.104.114019.
Adhikari, Lekha, Mondal, Chandan, Nair, Sreeraj, Xu, Siqi, Jia, Shaoyang, Zhao, Xingbo, Vary, James P., & BLFQ Collaboration. Generalized parton distributions and spin structures of light mesons from a light-front Hamiltonian approach. United States. https://doi.org/10.1103/PhysRevD.104.114019
Adhikari, Lekha, Mondal, Chandan, Nair, Sreeraj, Xu, Siqi, Jia, Shaoyang, Zhao, Xingbo, Vary, James P., and BLFQ Collaboration. Tue . "Generalized parton distributions and spin structures of light mesons from a light-front Hamiltonian approach". United States. https://doi.org/10.1103/PhysRevD.104.114019.
@article{osti_1835636,
title = {Generalized parton distributions and spin structures of light mesons from a light-front Hamiltonian approach},
author = {Adhikari, Lekha and Mondal, Chandan and Nair, Sreeraj and Xu, Siqi and Jia, Shaoyang and Zhao, Xingbo and Vary, James P. and BLFQ Collaboration},
abstractNote = {We present the generalized parton distributions (GPDs) for the valence quarks of the pion and the kaon in both momentum space and position space within the basis light-front quantization framework. These GPDs are obtained from the eigenvectors of a light-front effective Hamiltonian consisting of the holographic quantum chromodynamics (QCD) confinement potential, a complementary longitudinal confinement potential, and the color-singlet Nambu-Jona–Lasinio interactions for the valence quarks of mesons. We then calculate the generalized form factors of the pion and the kaon from the moments of these GPDs. Combining the tensor form factors with the electromagnetic form factors, we subsequently evaluate the impact parameter dependent probability density of transversely polarized quarks inside the pion and the kaon. The numerical results for the generalized form factors, corresponding charges, as well as those for the probability densities and the transverse shift of the polarized densities are consistent with lattice QCD simulations and with chiral quark models.},
doi = {10.1103/PhysRevD.104.114019},
journal = {Physical Review D},
number = 11,
volume = 104,
place = {United States},
year = {Tue Dec 14 00:00:00 EST 2021},
month = {Tue Dec 14 00:00:00 EST 2021}
}

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