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It is well known that in gauge theories, the spin (and orbital angular momentum) of gauge particles is not gauge invariant, although the helicity is; neither are the canonical momentum and canonical angular momentum of charged particles.…

High Energy Physics - Phenomenology · Physics 2015-06-04 Xiangdong Ji , Yang Xu , Yong Zhao

We discuss the Wigner functions of the nucleon which provide multi-dimensional images of the quark distributions in phase space. They combine in a single picture all the information contained in the generalized parton distributions (GPDs)…

High Energy Physics - Phenomenology · Physics 2012-06-15 Cédric Lorcé , Barbara Pasquini

Quark spin and orbital angular momentum in the nucleon are calculated in symmetry-breaking chiral quark model. The results are compared with data and other models.

High Energy Physics - Phenomenology · Physics 2007-05-23 X. Song

Since the announcement of the proton spin crisis by the European Muon Collaboration there has been considerable progress in unravelling the distribution of spin and orbital angular momentum within the proton. We review the current status of…

High Energy Physics - Phenomenology · Physics 2009-08-03 A. W. Thomas

Parton distributions in impact parameter space, which are obtained by Fourier transforming GPDs, are exhibit a significant deviation from axial symmetry when the target and/or quark is transversely polarized. From this deformation, we…

High Energy Physics - Phenomenology · Physics 2015-05-20 Matthias Burkardt , Hikmat BC , Abdullah Jarrah

Covariant version of the quark-parton model is studied. Dependence of the structure functions and parton distributions on the 3D quark intrinsic motion is discussed. The important role of the quark orbital momentum, which is a particular…

High Energy Physics - Phenomenology · Physics 2008-11-26 Petr Zavada

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 quark orbital angular momentum component of proton spin, $L_q$, can be defined in QCD as the integral of a Wigner phase space distribution weighting the cross product of the quark's transverse position and momentum. It can also be…

High Energy Physics - Phenomenology · Physics 2016-09-07 Abha Rajan , Aurore Courtoy , Michael Engelhardt , Simonetta Liuti

We show that, when boosted to the infinite momentum frame, the quark and gluon orbital angular momentum operators defined in the nucleon spin sum rule of X. S. Chen et al. are the same as those derived from generalized transverse momentum…

High Energy Physics - Phenomenology · Physics 2016-03-09 Yong Zhao , Keh-Fei Liu , Yibo Yang

We present a calculation of Wigner distributions for gluons in light-front dressed quark model. We calculate the kinetic and canonical gluon orbital angular momentum and spin-orbit correlation of the gluons in this model.

High Energy Physics - Phenomenology · Physics 2015-06-23 Asmita Mukherjee , Sreeraj Nair , Vikash Kumar Ojha

Wigner distributions contain combined position and momentum space information of the quark distributions and are related to both generalized parton distributions (GPDs) and transverse momentum dependent parton distributions (TMDs). We…

High Energy Physics - Phenomenology · Physics 2015-06-23 Asmita Mukherjee , Sreeraj Nair , Vikash Kumar Ojha

Parton distribution functions give the probability to find partons (quarks and gluons) in a hadron as a function of the fraction x of the proton's momentum carried by the parton. They are conventionally defined in terms of matrix elements…

High Energy Physics - Lattice · Physics 2009-10-28 Davison E. Soper

The internal structure of hadrons is important for a variety of topics, including the hadron form factors, proton spin and spin asymmetry in polarized proton scattering. For a systematic study generalized parton distributions (GPDs) encode…

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

An unified scheme for describing both spin and orbital motion in symmetry-breaking chiral quark model is suggested. The analytic results of the spin and orbital angular momenta carried by different quark flavors in the nucleon are given.…

High Energy Physics - Phenomenology · Physics 2007-05-23 X. Song

We study the Wigner functions of the nucleon which provide multidimensional images of the quark distributions in phase space and combine in a single picture all the information contained in the generalized parton distributions (GPDs) and…

High Energy Physics - Phenomenology · Physics 2011-07-21 B. Pasquini , C. Lorcé

It is known how to access information on quark orbital angular momentum from generalized parton distribution functions, in a certain specified framework. It is intuitively expected, that such information can be accessed also through…

High Energy Physics - Phenomenology · Physics 2017-08-23 H. Avakian , A. V. Efremov , P. Schweitzer , O. V. Teryaev , P. Zavada

The Wigner distributions for u and d quarks in a proton are calculated using the light front wave functions (LFWFs) of the scalar quark-diquark model for nucleon constructed from the soft-wall AdS/QCD correspondence. We present a detail…

High Energy Physics - Phenomenology · Physics 2016-07-29 D. Chakrabarti , T. Maji , C. Mondal , A. Mukherjee

We discuss the orbital angular momentum of partons inside a longitudinally polarized proton in the recently proposed framework of spin decomposition. The quark orbital angular momentum defined by Ji can be decomposed into the `canonical'…

High Energy Physics - Phenomenology · Physics 2015-06-03 Yoshitaka Hatta

The conflict between cononical commutation relation and gauge invariance, which both the momentum and angular momentum of quark and gluon should satisfy, is clarified. The quantum version of gauge invariance is studied. The gauge…

High Energy Physics - Phenomenology · Physics 2016-08-16 Fan Wang , Wei-Min Sun , Xiao-Fu Lü