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The general spin structure of the relativistic nucleon wave function in the $3q$-model is found. It contains 16 spin components, in contrast to 8 ones known previously, since in a many-body system the parity conservation does not reduce the…

Nuclear Theory · Physics 2009-10-31 V. A. Karmanov

~Based on the gauge invariant quark canonical momentum we construct two theoretically possible decompositions of nucleon momentum to those of quarks and gluons. We predict that either 6% or 21% of nucleon momentum is carried by gluons,…

Nuclear Theory · Physics 2011-05-02 Y. M. Cho , Mo-Lin Ge , D. G. Pak , Pengming Zhang

Based on both the constituent quark picture and the instanton model for QCD vacuum, we calculate the unpolarized and polarized gluon distributions in the constituent quark and in the nucleon. Our approach consists of the two main steps. At…

High Energy Physics - Phenomenology · Physics 2016-05-04 Nikolai Kochelev , Hee-Jung Lee , Baiyang Zhang , Pengming Zhang

We review the present understanding of the spin structure of protons and neutrons, the fundamental building blocks of nuclei collectively known as nucleons. The field of nucleon spin provides a critical window for testing Quantum…

High Energy Physics - Phenomenology · Physics 2026-01-13 A. Deur , S. J. Brodsky , G. F. de Teramond

Starting from the Hamiltonian equation of motion in QCD, we identify an invariant light-front coordinate $\zeta$ which allows the separation of the dynamics of quark and gluon binding from the kinematics of constituent spin and internal…

High Energy Physics - Phenomenology · Physics 2009-02-27 Guy F. de Teramond , Stanley J. Brodsky

I review what is known about the quark and gluon spin distributions in the nucleon. I discuss in some detail (a) the existence of sum rules for angular momentum; (b) the interpretation and possible measurement of the nucleon's transversity…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. L. Jaffe

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

In the present work we study the effect of the scalar spin coupling of constituent quarks on the nucleon electroweak properties by introducing a valence light-front wave function with two momentum scales. By comparing the results obtained…

High Energy Physics - Phenomenology · Physics 2022-01-26 W. R. B. de Araújo , E. F. Suisso , J. P. B. C. de Melo , T. Frederico , Kazuo Tsushima

In this short note the QED extension of the nucleon spin sum rule is considered. To this end, the leading-order (LO) QED evolution kernels for the quark/gluon helicity and orbital-angular-momentum (OAM) distributions are calculated, as well…

High Energy Physics - Phenomenology · Physics 2022-04-26 Miguel G. Echevarria

The light-front QCD is studied using the method of flow equations. Solving the light-front gluon gap equation, the effective gluon mass is generated dynamically. The effective interaction between static quark and antiquark, generated…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Gubankova

We estimate in the QCD sum rule approach the amount of the nucleon spin carried by the gluon angular momentum: the sum of the gluon spin and orbital angular momenta. The result indicates that gluons contribute at least one half of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Ian Balitsky , Xiangdong Ji

This paper contains three parts relating to the nucleon spin structure in a simple picture of the nucleon: (i) The polarized gluon distribution in the proton is dynamically predicted starting from a low scale by using a nonlinear QCD…

High Energy Physics - Phenomenology · Physics 2015-10-14 Wei Zhu , Jianhong Ruan

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 QCD is studied by the method of flow equations. Dynamical gluon mass is generated, which evolves with the cut-off according to renormalization group equation. Eliminating by flow equations the quark gluon coupling with the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Elena Gubankova

We present results on the spin carried by quarks and gluons in the nucleon using lattice QCD simulations with physical values of the light, strange and charm quark masses. We also discuss selective results on the x-dependence of parton…

High Energy Physics - Lattice · Physics 2023-01-18 Constantia Alexandrou

Gravitational form factors (GFFs) of hadrons encode essential information about the internal distributions of mass, spin, pressure, and shear among their quark and gluon constituents. We compute the quark and gluon GFFs of the proton using…

High Energy Physics - Phenomenology · Physics 2025-06-10 Sreeraj Nair , Chandan Mondal , Siqi Xu , Xingbo Zhao , James P. Vary

We investigate the different decompositions of the angular momentum in QCD for a relativistic spin $1/2$ composite state, namely a quark dressed with a gluon. We use light-front Hamiltonian perturbation theory, and in the light-front gauge,…

High Energy Physics - Phenomenology · Physics 2023-12-15 Ravi Singh , Sudeep Saha , Asmita Mukherjee , Nilmani Mathur

The nucleons (protons and neutrons) are by far the most abundant form of matter in our visible Universe; they are composite particles made of quarks and gluons, the fundamental quanta of Quantum Chromo Dynamics (QCD). The usual…

High Energy Physics - Phenomenology · Physics 2020-08-17 Mauro Anselmino , Asmita Mukherjee , Anselm Vossen

This talk consists of four parts. In part one, I give an elementary discussion on constructing a Lorentz-invariant spin sum rule for the nucleon. In part two, I discuss a gauge-dependent spin sum rule, explore its relation with the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiangdong Ji

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