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Lin and Liu evaluate the nucleon expectation value of the non gauge-invariant canonical quark momentum operator on a lattice, and obtain zero. They conclude that my argument that, despite the non gauge-invariance of the operator, its…

High Energy Physics - Phenomenology · Physics 2013-05-30 Elliot Leader

We review the implementation, in a temporal-gauge formulation of QCD, of the non-Abelian Gauss's law and the construction of gauge-invariant gauge and matter fields. We then express the QCD Hamiltonian in terms of these gauge-invariant…

High Energy Physics - Theory · Physics 2009-11-07 Kurt Haller

This article reviews our present understanding of QCD spin physics: the proton spin puzzle and new developments aimed at understanding the transverse structure of the nucleon. We discuss present experimental investigations of the nucleon's…

High Energy Physics - Phenomenology · Physics 2015-06-11 Christine A. Aidala , Steven D. Bass , Delia Hasch , Gerhard K. Mallot

The question whether the total gluon angular momentum in the nucleon can be decomposed into its spin and orbital parts without conflict with the gauge-invariance principle has been an object of long-lasting debate. Despite a remarkable…

High Energy Physics - Phenomenology · Physics 2015-05-20 Masashi Wakamatsu

The decomposition of the nucleon spin into that of quarks and gluons is related to twist-two GPDs according to Ji sum rule. Further decomposition into the helicity and the orbital angular momentum inevitably requires twist-three GPDs. In…

High Energy Physics - Phenomenology · Physics 2015-06-05 Yoshitaka Hatta , Shinsuke Yoshida

We investigate the correlations between the quark spin and orbital angular momentum inside the nucleon. Similarly to the Ji relation, we show that these correlations can be expressed in terms of specific moments of measurable parton…

High Energy Physics - Phenomenology · Physics 2015-06-18 Cédric Lorcé

We report on new results of the spin dependent structure functions $g_1$ and $h_1$ of the nucleon. An attempt is made to convert the moments, which is what one computes on the lattice, to quark distribution functions.

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Göckeler , R. Horsley , H. Perlt , P. Rakow , G. Schierholz , A. Schiller , P. Stephenson

A controversy is raging concerning the most physically meaningful definition of quark and gluon angular momentum, a question of importance in understanding the internal structure of the nucleon. There are, in my, opinion, two principal…

High Energy Physics - Phenomenology · Physics 2016-01-27 Elliot Leader

We calculate the leading-twist helicity-dependent generalized parton distributions (GPDs) of the proton at finite skewness in the Nambu--Jona-Lasinio (NJL) model of quantum chromodynamics (QCD). From these (and previously calculated…

Nuclear Theory · Physics 2021-04-21 Adam Freese , Ian C. Cloët

The quark orbital angular momentum (OAM) has been recognized as an important piece of the proton spin puzzle. A lot of effort has been invested in trying to extract it quantitatively from the generalized parton distributions (GPDs) and the…

High Energy Physics - Phenomenology · Physics 2015-06-12 Cedric Lorce , Barbara Pasquini

The status of lattice calculations of the quark spin, the quark orbital angular momentum, the glue angular momentum and glue spin in the nucleon is summarized. The quark spin calculation is recently carried out from the anomalous Ward…

High Energy Physics - Phenomenology · Physics 2016-03-23 Keh-Fei Liu

Understanding the spin structure of the proton is one of the main challenges in hadronic physics. While the concepts of spin and orbital angular momentum are pretty clear in the context of non-relativistic quantum mechanics, the…

High Energy Physics - Phenomenology · Physics 2015-04-21 Cédric Lorcé

Here we study the quark orbital angular momentum of the ground octet baryons employing an extended chiral constituent quark model, within which the baryon wave functions are taken to be superposition of the traditional $qqq$ and the…

High Energy Physics - Phenomenology · Physics 2023-03-01 Jing-Feng Li , Cheng Chen , Gang Li , Chun-Sheng An , Cheng-Rong Deng , Ju-Jun Xie

I begin with a general discussion about importance of constructing a picture of the nucleon in terms of QCD degrees of freedom, emphasizing the role of spin structure functions. I then give a short overview on the theoretical and…

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

We study the chromodynamical gauge symmetry in relation to the internal spin structure of the nucleon. We show that 1) even in the helicity eigenstates the gauge-dependent spin and orbital angular momentum operators do not have…

High Energy Physics - Phenomenology · Physics 2009-10-31 Pervez Hoodbhoy , Xiangdong Ji , Wei Lu

Similarities between nuclear structure study with many-body theory approach and nucleon structure calculations with lattice QCD are pointed out. We will give an example of how to obtain the connected sea partons from a combination of the…

High Energy Physics - Phenomenology · Physics 2015-06-19 Keh-Fei Liu

At the low energy, {\sl hadronic}, scale we calculate Orbital Angular Momentum (OAM) twist-two parton distributions for the relativistic MIT bag model and for non-relativistic quark models. We reach the scale of the data by leading order…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Scopetta , V. Vento

We systematically compute the effective short-range potentials arising from second order QCD-diagrams related to bound states of quarks, antiquarks, and gluons. Our formalism relies on the assumption that the exchanged gluons are massless,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Vincent Mathieu , Fabien Buisseret

The data from the last seven experiments performed on polarized deep--inelastic scattering on proton and neutron (or deuteron) targets have been analyzed in search of a precise determination of the spin fraction carried by the quarks in the…

High Energy Physics - Phenomenology · Physics 2008-02-03 Paolo M. Gensini

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