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We present our recent progress in applying the basis light-front quantization approach to investigate the nucleon's structure. We solve its wave functions from the eigenstates of the light-front QCD Hamiltonian using a fully relativistic,…

High Energy Physics - Phenomenology · Physics 2025-03-28 Chandan Mondal , Siqi Xu , Yiping Liu , Jiangshan Lan , Yang Li , Xingbo Zhao , James P. Vary

We obtain the light-front wavefunctions for the nucleon in the valence quark Fock space from an effective Hamiltonian, which includes the transverse and longitudinal confinement and the one-gluon exchange interaction with fixed coupling.…

High Energy Physics - Phenomenology · Physics 2021-12-14 Chandan Mondal , Siqi Xu , Jiangshan Lan , Xingbo Zhao , Yang Li , Dipankar Chakrabarti , James P. Vary

We solve for the light-front wave functions of the nucleon from a light-front quantum chromodynamics (QCD) effective Hamiltonian with three-dimensional confinement. We obtain solutions using constituent three quarks combined with three…

High Energy Physics - Phenomenology · Physics 2024-06-25 Siqi Xu , Chandan Mondal , Xingbo Zhao , Yang Li , James P. Vary

We produce the light-front wave functions (LFWFs) of the nucleon from a basis light-front ap- proach in the leading Fock sector representation. We solve for the mass eigenstates from a light-front effective Hamiltonian, which includes a…

High Energy Physics - Phenomenology · Physics 2021-12-08 Siqi Xu , Chandan Mondal , Jiangshan Lan , Xingbo Zhao , Yang Li , James P. Vary

We employ an effective Hamiltonian that includes the transverse and longitudinal confinement and the one-gluon exchange interaction with fixed coupling constant. By solving the eigenvalue equation in basis light-front quantization (BLFQ),…

High Energy Physics - Phenomenology · Physics 2020-09-07 Siqi Xu , Chandan Mondal , Jiangshan Lan , Xingbo Zhao , Yang Li , James P. Vary

We obtain the light meson mass spectroscopy from the light-front quantum chromodynamics (QCD) Hamiltonian, determined for their constituent quark-antiquark and quark-antiquark-gluon Fock components, together with a three-dimensional…

High Energy Physics - Phenomenology · Physics 2022-01-17 Jiangshan Lan , Kaiyu Fu , Chandan Mondal , Xingbo Zhao , james P. Vary

We solve for the $\rho$-meson's wave functions from a light-front QCD Hamiltonian determined for its constituent quark-antiquark and quark-antiquark-gluon Fock components, with a three-dimensional confinement using basis light-front…

High Energy Physics - Phenomenology · Physics 2024-01-09 Satvir Kaur , Jiatong Wu , Zhi Hu , Jiangshan Lan , Chandan Mondal , Xingbo Zhao , James P. Vary

We obtain the electromagnetic form factors, the axial form factor, and the parton distribution functions of the proton from the eigenstates of a light-front effective Hamiltonian in the leading Fock representation suitable for low-momentum…

High Energy Physics - Phenomenology · Physics 2020-07-22 Chandan Mondal. Siqi Xu , Jiangshan Lan , Xingbo Zhao , Yang Li , Dipankar Chakrabarti , James P. Vary

We study heavy quarkonium within the light-front Hamiltonian formalism. Our effective Hamiltonian is based on the holographic QCD confining potential and the one-gluon exchange interaction with a running coupling. The obtained spectra are…

Nuclear Theory · Physics 2017-09-13 Yang Li

The light-front wave functions of hadrons allow us to calculate a wide range of physical observables; however, the wave functions themselves cannot be measured. We discuss recent results for quarkonia obtained in basis light-front…

Nuclear Theory · Physics 2020-11-03 Pieter Maris , Shaoyang Jia , Meijian Li , Yang Li , Shuo Tang , James P. Vary

We investigate the electromagnetic form factors of the nucleon in the framework of basis light front quantization. We compute the form factors using the light front wavefunctions obtained by diagonalizing the effective Hamiltonian…

High Energy Physics - Phenomenology · Physics 2020-01-20 Chandan Mondal , Siqi Xu , Jiangshan Lan , Xingbo Zhao , Yang Li , Henry Lamm , James P. Vary

We obtain the deuteron's wave functions as eigenstates of the light-front quantum chromodynamics (QCD) Hamiltonian using a fully relativistic and nonperturbative approach based on light-front quantization, without an explicit confining…

High Energy Physics - Phenomenology · Physics 2025-05-20 Chandan Mondal , Satvir Kaur , Jiatong Wu , Siqi Xu , Xingbo Zhao , James P. Vary

We investigate the structure of the light meson with one dynamical gluon from the light-front QCD Hamiltonian, determined for their constituent quark-antiquark and quark-antiquark-gluon Fock sectors, together with a three-dimensional…

High Energy Physics - Phenomenology · Physics 2022-01-19 Jiangshan Lan , Kaiyu Fu , Chandan Mondal , Xingbo Zhao , James P. Vary

We obtain the masses, the electromagnetic properties, and the parton distribution functions (PDFs) of $\Lambda$, $\Lambda_c$, and their isospin triplet baryons, i.e, $\Sigma^0$, $\Sigma^+$, $\Sigma^-$ and $\Sigma_c^0$, $\Sigma_c^+$,…

High Energy Physics - Phenomenology · Physics 2025-10-30 Tiancai Peng , Zhimin Zhu , Siqi Xu , Xiang Liu , Chandan Mondal , Xingbo Zhao , James P. Vary

Light-Front Hamiltonian theory provides a rigorous frame-independent framework for solving nonperturbative QCD. The valence Fock-state wavefunctions of the light-front QCD Hamiltonian satisfy a single-variable relativistic equation of…

High Energy Physics - Phenomenology · Physics 2015-06-17 Stanley J. Brodsky , Guy F. de Téramond , Hans Günter Dosch

The light-front representation of quantum chromodynamics provides a frame-independent, quantum-mechanical representation of hadrons at the amplitude level, capable of encoding their multi-quark, hidden-color and gluon momentum, helicity,…

High Energy Physics - Phenomenology · Physics 2009-09-11 Stanley J. Brodsky

Within the basis light-front quantization framework, we compute the masses and light-front wave functions of the $\Lambda_b$ baryon and its isospin triplet counterparts $\Sigma_b^+$, $\Sigma_b^0$, and $\Sigma_b^-$ using a light-front…

High Energy Physics - Phenomenology · Physics 2025-03-18 Lingdi Meng , Tian-Cai Peng , Zhi Hu , Siqi Xu , Jiangshan Lan , Chandan Mondal , Guo-Li Wang , Xingbo Zhao , James P. Vary

Light-front wavefunctions provide a frame-independent representation of hadrons in terms of their physical quark and gluon degrees of freedom. The light-front Hamiltonian formalism provides new nonperturbative methods for obtaining the QCD…

High Energy Physics - Theory · Physics 2017-08-23 S. J. Brodsky

We review recent advancements in understanding nucleon structure within the Basis Light-Front Quantization (BLFQ) framework--a fully relativistic, nonperturbative approach to solving quantum field theories. In its initial phase, we start…

High Energy Physics - Phenomenology · Physics 2025-12-10 James P. Vary , Chandan Mondal , Siqi Xu , Xingbo Zhao , Yang Li

Light-Front Hamiltonian theory, derived from the quantization of the QCD Lagrangian at fixed light-front time \tau = t+z/c, provides a rigorous frame-independent framework for solving nonperturbative QCD. The eigenvalues of the light-front…

High Energy Physics - Theory · Physics 2015-06-17 Stanley J. Brodsky , Guy F. de Téramond , Hans Günter Dosch
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