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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

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

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

A perspective on the contemporary use of Dyson-Schwinger equations, focusing on some recent phenomenological applications: a description and unification of light-meson observables using a one-parameter model of the effective quark-quark…

Nuclear Theory · Physics 2007-05-23 M. B. Hecht , C. D. Roberts , S. M. Schmidt

Light-front Fock state wavefunctions encode the bound state properties of hadrons in terms of their quark and gluon degrees of freedom at the amplitude level. The freedom to choose the light-like quantization four-vector provides an…

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

In this work, we investigate the form factors of $B_c$ decays into $J/\Psi, \psi(2S,3S)$, $\eta_c, \eta_c(2S,3S), \chi_{c0}, \chi_{c1}, h_c$ and $X(3872)$ mesons in the covariant light-front quark model (CLFQM). For the purpose of the…

High Energy Physics - Phenomenology · Physics 2023-08-25 Zhi-Qing Zhang , Zhi-Jie Sun , Yan-Chao Zhao , You-Ya Yang , Zi-Yu Zhang

The QCD light-front (LF) Hamiltonian equation H_{LF}|\Psi> = M^2 |\Psi> derived from quantization at fixed LF time \tau = t+z/c provides a causal, frame-independent, method for computing hadron spectroscopy as well as dynamical observables…

High Energy Physics - Phenomenology · Physics 2020-08-26 Stanley J. Brodsky , Alexandre Deur

The bosonized Chiral Schwinger model (CSM) is quantized on the light-front (LF). The physical Hilbert space of CSM is obtained directly once the constraints on the LF phase space are eliminated. The discussion of the degenerate vacua and…

High Energy Physics - Theory · Physics 2009-10-31 Prem P. Srivastava

Basis Light-front Quantization has been proposed as a nonperturbative framework for solving quantum field theory. We apply this approach to Quantum Electrodynamics and explicitly solve for the light-front wave function of a physical…

Nuclear Theory · Physics 2014-08-26 Xingbo Zhao , Heli Honkanen , Pieter Maris , James P. Vary , Stanley J. Brodsky

We present a new method to solve the nuclear density functional theory (DFT) equations using a two-center harmonic oscillator for Skyrme-like functionals, incorporating pairing and Coulomb interactions. The goal is to efficiently determine…

Nuclear Theory · Physics 2025-07-08 Adrián Sánchez-Fernández , Jacek Dobaczewski , Xuwei Sun , Herlik Wibowo

Equilibrium crystal structures, electron band dispersions and band gap values of layered GaSe and InSe semiconductors, each being represented by four polytypes, are studied via first-principles calculations within the density functional…

Materials Science · Physics 2018-08-10 Juliana Srour , Michael Badawi , Fouad El Haj Hassan , Andrei Postnikov

We explore a new method to calculate the valence light-front wave function of a system of two interacting particles, which is based on contour deformations combined with analytic continuation methods to project the Bethe-Salpeter wave…

High Energy Physics - Phenomenology · Physics 2022-02-23 Gernot Eichmann , Eduardo Ferreira , Alfred Stadler

We argue that charmonium decays into meson pairs fall into two distinct classes: one that is under control of perturbative QCD and another one that is governed by a soft mechanism. We concentrate on a systematic analysis of J/Psi (Psi')…

High Energy Physics - Phenomenology · Physics 2009-08-25 Th. Feldmann , P. Kroll

We report a comprehensive set of results for B-meson heavy-to-light transition form factors calculated using a truncation of, and expression for, the transition amplitudes in which all elements are motivated by the study of Dyson-Schwinger…

Nuclear Theory · Physics 2008-11-26 Mikhail A. Ivanov , Jurgen G. Korner , Sergey G. Kovalenko , Craig D. Roberts

This work is a continuation in our series of papers, that addresses quark models of hadronic structure on the light front. The chief focus of this paper is the quantum-mechanical solution of the three-quark model Hamiltonian, describing…

High Energy Physics - Phenomenology · Physics 2023-03-08 Edward Shuryak , Ismail Zahed

Light front formalism for composite systems is presented. Derivation of equations for bound state and scattering problems are given. Methods of constructing of elastic form factors and scattering amplitudes of composite particles are…

High Energy Physics - Theory · Physics 2008-11-26 V. R. Garsevanishvili , A. A. Khelashvili , Z. R. Menteshashvili , M. S. Nioradze

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

To a first semiclassical approximation one can reduce the multi-parton light-front problem in QCD to an effective one-dimensional quantum field theory, which encodes the fundamental conformal symmetry of the classical QCD Lagrangian. This…

High Energy Physics - Phenomenology · Physics 2015-06-18 Guy F. de Teramond , Stanley J. Brodsky , Hans Günter Dosch

We employ the Basis Light-Front Quantization (BLFQ) framework to compute the leading-twist (twist-2) and subleading-twist (twist-3) transverse-momentum-dependent parton distribution functions (TMDs) of the kaon. The light-front wave…

High Energy Physics - Phenomenology · Physics 2026-03-13 Yuanqi Lu , Zhimin Zhu , Jiangshan Lan , Chandan Mondal , Xingbo Zhao , James P. Vary

We present a comprehensive analysis of the semileptonic weak decays of $B_c$ meson decaying to axial-vector ($A$) mesons for bottom-conserving and bottom-changing decay modes. We employ self-consistent covariant light-front quark model…

High Energy Physics - Phenomenology · Physics 2025-03-06 Avijit Hazra , Thejus Mary S. , Neelesh Sharma , Rohit Dhir
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