Dynamical gluon effects in the three-dimensional structure of pion
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| Format: | Preprint |
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2025
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| author | Lan, Jiangshan Fu, Kaiyu Kaur, Satvir Zhu, Zhimin Mondal, Chandan Zhao, Xingbo Vary, James P. |
| author_facet | Lan, Jiangshan Fu, Kaiyu Kaur, Satvir Zhu, Zhimin Mondal, Chandan Zhao, Xingbo Vary, James P. |
| contents | We investigate the internal structure of the pion, including the contributions from one dynamical gluon, using the basis light-front quantization (BLFQ) approach. By solving a light-front QCD Hamiltonian with a three-dimensional confining potential, we obtain the light-front wavefunctions (LFWFs) for both the quark-antiquark and quark-antiquark-gluon Fock sectors. These wavefunctions are then employed to compute the unpolarized generalized parton distributions (GPDs) and the transverse-momentum-dependent parton distributions (TMDs) of valence quarks and gluons. We also extract the transverse spatial distributions, providing the squared radii of quark and gluon densities in the impact-parameter space. This work contributes toward a three-dimensional understanding of the pion's internal structure in both momentum and coordinate space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22016 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamical gluon effects in the three-dimensional structure of pion Lan, Jiangshan Fu, Kaiyu Kaur, Satvir Zhu, Zhimin Mondal, Chandan Zhao, Xingbo Vary, James P. High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory We investigate the internal structure of the pion, including the contributions from one dynamical gluon, using the basis light-front quantization (BLFQ) approach. By solving a light-front QCD Hamiltonian with a three-dimensional confining potential, we obtain the light-front wavefunctions (LFWFs) for both the quark-antiquark and quark-antiquark-gluon Fock sectors. These wavefunctions are then employed to compute the unpolarized generalized parton distributions (GPDs) and the transverse-momentum-dependent parton distributions (TMDs) of valence quarks and gluons. We also extract the transverse spatial distributions, providing the squared radii of quark and gluon densities in the impact-parameter space. This work contributes toward a three-dimensional understanding of the pion's internal structure in both momentum and coordinate space. |
| title | Dynamical gluon effects in the three-dimensional structure of pion |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2509.22016 |