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Theoretical progress on the formulation and classification of the quark and gluon orbital angular momenta (OAM) is reviewed. Their relation to parton distributions and open questions and puzzles are discussed. We give a status report on the…

高能物理 - 唯象学 · 物理学 2016-07-20 Keh-Fei Liu , Cedric Lorce

We suggest a method of constructing gauge invariant quark and gluon distributions that describe an abstract QCD observable and apply this method to analyze angular momentum of a hadron. In addition to the known quark and gluon polarized…

高能物理 - 唯象学 · 物理学 2008-11-26 S. V. Bashinsky , R. L. Jaffe

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…

高能物理 - 唯象学 · 物理学 2016-09-07 Abha Rajan , Aurore Courtoy , Michael Engelhardt , Simonetta Liuti

The orbital angular momentum of quarks and gluons contributes significantly to the proton spin budget and attracted a lot of attention in the recent years, both theoretically and experimentally. We summarize the various definitions of…

高能物理 - 唯象学 · 物理学 2016-03-23 Cédric Lorcé , K. F. Liu

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'…

高能物理 - 唯象学 · 物理学 2015-06-03 Yoshitaka Hatta

While the total orbital angular momentum (OAM) of a definite quark flavor in a longitudinally-polarized nucleon can be obtained through a sum rule involving twist-two generalized parton distribution (GPDs), its distribution as a function of…

高能物理 - 唯象学 · 物理学 2013-08-09 Xiangdong Ji , Xiaonu Xiong , Feng Yuan

A major controversy has arisen in QCD as to how to split the total angular momentum into separate quark and gluon contributions, and as to whether the gluon angular momentum can itself be split, in a gauge invariant way, into a spin and…

高能物理 - 唯象学 · 物理学 2011-06-07 Elliot Leader

Using the equations of motion of QCD and Lorentz invariance relations, we show a new, more direct way of obtaining the decomposition of the proton's quark transverse angular momentum into its spin and orbital components. The new…

高能物理 - 唯象学 · 物理学 2024-10-30 Osamah Alkasassbeh , Abha Rajan , Michael Engelhardt , Simonetta Liuti

We have calculated the Orbital Angular Momentum of quarks and gluons in the nucleon. The calculations are carried out in the next to leading order utilizing the so-called valon model. It is found that the average quark orbital angular…

高能物理 - 唯象学 · 物理学 2017-04-13 Maryam Momeni-Feili , Firooz Arash , Fatemeh Taghavi-Shahri , Abolfazl Shahveh

We discuss two different definitions of partonic orbital angular momentum given in the literature in terms of the Fourier transform of a Wigner distribution, $F_{14}$, and a twist three generalized parton distribution, $\tilde{E}_{2T}$,…

高能物理 - 唯象学 · 物理学 2015-08-05 Simonetta Liuti , Aurore Courtoy , Michael Engelhardt , Abha Rajan

We investigate the quark angular momentum in a model with the nucleon being a quark and a spectator. Both scalar and axial-vector spectators are included. We perform the calculations in the light-cone formalism where the parton concept is…

高能物理 - 唯象学 · 物理学 2015-01-16 Tianbo Liu , Bo-Qiang Ma

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…

高能物理 - 唯象学 · 物理学 2017-08-23 H. Avakian , A. V. Efremov , P. Schweitzer , O. V. Teryaev , P. Zavada

We argue that due to Parity constraints, the helicity combination of the purely momentum space counterparts of the Wigner distributions -- the generalized transverse momentum distributions -- that describes the configuration of an…

高能物理 - 唯象学 · 物理学 2015-06-17 Aurore Courtoy , Gary R. Goldstein , J. Osvaldo Gonzalez Hernandez , Simonetta Liuti , Abha Rajan

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…

高能物理 - 唯象学 · 物理学 2016-03-09 Yong Zhao , Keh-Fei Liu , Yibo Yang

We demonstrate that there exist two kinds of gauge-invariant decompositions of the nucleon spin, which are physically inequivalent. The quark and gluon orbital angular momenta (OAMs) appearing in one decomposition are basically the…

高能物理 - 唯象学 · 物理学 2015-05-30 Masashi Wakamatsu

We introduce gauge-invariant quark and gluon angular momentum distributions after making a generalization of the angular momentum density operators. From the quark angular momentum distribution, we define the gauge-invariant and…

高能物理 - 唯象学 · 物理学 2009-10-31 Pervez Hoodbhoy , Xiangdong Ji , Wei Lu

We study the quark angular momentum distribution in the nucleon within a light-front covariant quark model. Special emphasis is put into the orbital angular momentum: a quantity which is very sensitive to the relativistic treatment of the…

高能物理 - 唯象学 · 物理学 2009-10-31 F. Cano , P. Faccioli , S. Scopetta , M. Traini

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…

高能物理 - 唯象学 · 物理学 2007-05-23 S. Scopetta , V. Vento

We calculate the Wigner functions for a quark target dressed with a gluon. These give a combined position and momentum space information of the quark distributions and are related to both generalized parton distributions (GPDs) and…

高能物理 - 唯象学 · 物理学 2015-06-19 Asmita Mukherjee , Sreeraj Nair , Vikash Kumar Ojha

Quark orbital angular momentum in the proton is evaluated via a Lattice QCD calculation of the second Mellin moment of the twist-3 generalized parton distribution $\widetilde{E}_{2T} $ in the forward limit. The connection between this…

高能物理 - 格点 · 物理学 2024-06-04 M. Engelhardt , N. Hasan , S. Krieg , S. Liuti , S. Meinel , J. Negele , A. Pochinsky , M. Rodekamp , S. Syritsyn
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