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Hamiltonian light-front quantum field theory provides a framework for calculating both static and dynamic properties of strongly interacting relativistic systems. Invariant masses, correlated parton amplitudes and time-dependent scattering…

Nuclear Theory · Physics 2014-06-10 James P. Vary , Xingbo Zhao , Anton Ilderton , Heli Honkanen , Pieter Maris , Stanley J. Brodsky

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

Hamiltonian light-front quantum field theory constitutes a framework for the non-perturbative solution of invariant masses and correlated parton amplitudes of self-bound systems. By choosing the light-front gauge and adopting a basis…

We solve the nucleon's wave functions from the eigenstates of the light-front quantum chromodynamics Hamiltonian for the first time, using a fully relativistic and nonperturbative approach based on light-front quantization, without an…

High Energy Physics - Phenomenology · Physics 2024-08-22 Siqi Xu , Yiping Liu , Chandan Mondal , Jiangshan Lan , Xingbo Zhao , Yang Li , James P. Vary

We study the light-unflavored mesons as relativistic bound states in the nonperturbative Hamiltonian formalism of the basis light-front quantization (BLFQ) approach. The dynamics for the valence quarks of these mesons is specified by an…

Nuclear Theory · Physics 2020-12-30 Wenyang Qian , Shaoyang Jia , Yang Li , James P. Vary

We investigate the structure of charmonium, bottomonium, and $\rm B_c$ meson systems within the Basis Light-Front Quantization (BLFQ) approach, including both the quark-antiquark ($|q\bar{q}\rangle$) and quark-antiquark-gluon…

High Energy Physics - Phenomenology · Physics 2026-03-10 Jiatong Wu , Hengfei Zhao , Kaiyu Fu , Zhi Hu , Xingbo Zhao , James P. Vary

We investigate the gravitational form factors of charmonium. Our method is based on a Hamiltonian formalism on the light front known as basis light-front quantization. The charmonium mass spectrum and light-front wave functions were…

High Energy Physics - Phenomenology · Physics 2024-08-20 Siqi Xu , Xianghui Cao , Tianyang Hu , Yang Li , Xingbo Zhao , James P. Vary

We study the heavy quarkonium within the basis light-front quantization approach. We implement the one-gluon exchange interaction and a confining potential inspired by light-front holography. We adopt the holographic light-front…

High Energy Physics - Phenomenology · Physics 2016-05-12 Yang Li , Pieter Maris , Xingbo Zhao , James P. Vary

We discuss the adequate treatment of the 3- and 4-body dynamics for the quark model picture of double-charm baryons and tetraquarks. We stress that the variational and Born-Oppenheimer approximations give energies very close to the exact…

High Energy Physics - Phenomenology · Physics 2018-03-30 Jean-Marc Richard , Alfredo Valcarce , Javier Vijande

We derive covariant equations for a system of two quarks and two antiquarks where the effect of quark-antiquark annihilation is taken into account. In our approach, only pair-wise interactions are retained, while all possibilities of…

High Energy Physics - Phenomenology · Physics 2014-10-06 A. N. Kvinikhidze , B. Blankleider

This paper concerns a method of describing hadrons that starts with the canonical front form Hamiltonian of QCD. The method is developed in the relatively simple context of QCD with only heavy quarks. We regulate its canonical Hamiltonian…

High Energy Physics - Phenomenology · Physics 2023-10-03 Kamil Serafin , María Gómez-Rocha , Jai More , S. D. Głazek

We present a relativistic point-form approach for the calculation of electroweak form factors of few-body bound states that leads to results which resemble those obtained within the covariant light-front formalism of Carbonell et al. Our…

High Energy Physics - Phenomenology · Physics 2015-05-30 María Gómez-Rocha , Elmar. P. Biernat , Wolfgang Schweiger

We study the low-energy spectral properties of positive center-of-mass conserving two-body Hamiltonians as they arise in models of fractional quantum Hall states. Starting from the observation that positive many-body Hamiltonians must have…

Strongly Correlated Electrons · Physics 2016-05-02 Amila Weerasinghe , Tahereh Mazaheri , Alexander Seidel

Light-front quantum chromodynamics may lead to an accurate constituent approximation for the low-energy properties of hadrons. This requires a cutoff that violates explicit gauge invariance and Lorentz covariance, leading to the calculation…

Nuclear Theory · Physics 2007-05-23 Robert J. Perry

The nonperturbative Hamiltonian eigenvalue problem for bound states of a quantum field theory is formulated in terms of Dirac's light-front coordinates and then approximated by the exponential-operator technique of the many-body…

High Energy Physics - Phenomenology · Physics 2015-06-11 J. R. Hiller

We describe a procedure to extend the light-front holographic approach to hadronic physics to include light-quark masses. The proposed framework allows us to extend the formalism of de Alfaro, Fubini and Furlan to the frame-independent…

High Energy Physics - Phenomenology · Physics 2014-05-13 Guy F. de Teramond , Stanley J. Brodsky , Hans Gunter Dosch

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

Light-front quantization to many-particle systems of finite temperature and density provides a novel approach towards a relativistic description of quark matter and allows us to calculate the perturbative as well as the non-perturbative…

Nuclear Theory · Physics 2009-11-11 M. Beyer , S. Mattiello , S. Strauss

An outstanding goal of physics is to find solutions that describe hadrons in the theory of strong interactions, Quantum Chromodynamics (QCD). For this goal, the light-front Hamiltonian formulation of QCD (LFQCD) is a complementary approach…

Heisenberg's matrix formulation of quantum mechanics can be generalized to relativistic systems by evolving in light-front time tau = t+z/c. The spectrum and wavefunctions of bound states, such as hadrons in quantum chromodynamics, can be…

High Energy Physics - Theory · Physics 2015-06-26 Stanley J. Brodsky
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