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Related papers: Orbital Angular Momentum at Small $x$

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We report a complete calculation of the quark and glue momenta and angular momenta in the proton. These include the quark contributions from both the connected and disconnected insertions. The calculation is carried out on a $16^3 \times…

High Energy Physics - Phenomenology · Physics 2012-08-28 K. F. Liu , M. Deka , T. Doi , Y. B. Yang , B. Chakraborty , Y. Chen , S. J. Dong , T. Draper , M. Gong , H. W. Lin , D. Mankame , N. Mathur , T. Streuer

A new picture is given of generalized parton distributions probed in experiments in which the probe scale $Q^{2}$ and the momentum transfer $\DD^{2}$ are well separated. Application of this picture to the $Q^{2}$ dependence of the form…

High Energy Physics - Phenomenology · Physics 2015-06-25 John P. Ralston , Roman V. Buniy , Pankaj Jain

Based on a sumrule for the nucleon spin we expand quark and gluon orbital angular momentum operators and derive an evolution matrix for higher moments of the corresponding distributions. In combination with the spin-dependent DGLAP-matrix…

High Energy Physics - Phenomenology · Physics 2014-11-17 P. Haegler , A. Schaefer

The recently revised small-$x$ helicity evolution, resumming the double-logarithmic factor, $\alpha_s\ln^2(1/x)$, allows for the study of helicity distributions of quarks and gluons at small Bjorken $x$, corresponding to high center-of-mass…

High Energy Physics - Phenomenology · Physics 2024-07-15 Adrian Dumitru , Heikki Mäntysaari , Yossathorn Tawabutr

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

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 investigate the quark orbital angular momentum of the nucleon in the absence of gauge-field degrees of freedom, by using the concept of the Wigner distribution and the light-cone wave functions of the Fock state expansion of the nucleon.…

High Energy Physics - Phenomenology · Physics 2015-06-03 C. Lorce' , B. Pasquini , X. Xiong , F. Yuan

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

We rederive the small-$x$ evolution equations governing quark helicity distribution in a proton using solely an operator-based approach. In our previous works on the subject, the evolution equations were derived using a mix of diagrammatic…

High Energy Physics - Phenomenology · Physics 2019-04-03 Yuri V. Kovchegov , Matthew D. Sievert

We report a complete calculation of the quark and glue momenta and angular momenta in the proton. These include the quark contributions from both the connected and disconnected insertions. The quark disconnected insertion loops are computed…

High Energy Physics - Lattice · Physics 2015-02-13 M. Deka , T. Doi , Y. B. Yang , B. Chakraborty , S. J. Dong , T. Draper , M. Glatzmaier , M. Gong , H. W. Lin , K. F. Liu , D. Mankame , N. Mathur , T. Streuer

We study the quark helicity distributions at large x in perturbative QCD, taking into account contributions from the valence Fock states of the nucleon which have nonzero orbital angular momentum. These states are necessary to have a…

High Energy Physics - Phenomenology · Physics 2008-12-18 Harut Avakian , Stanley J. Brodsky , Alexandre Deur , Feng Yuan

We discuss the angular dependence of the recently proposed transverse momentum dependent quark and gluon diffractive parton distributions at small-$x$. We introduce the difractive versions of the Sivers function and the elliptic gluon…

High Energy Physics - Phenomenology · Physics 2024-03-29 Yoshitaka Hatta , Feng Yuan

We study the orbital angular momentum contribution to the spin structure of the proton. It is well known that the quark and gluon spin contributions do not add up to the proton spin. We motivate the connection between the Generalized…

High Energy Physics - Phenomenology · Physics 2016-02-02 Abha Rajan , Simonetta Liuti

Determination of the orbital angular momentum of the proton is a difficult but important part of understanding fundamental structure. Insight can be gained from suitable models of the gluon asymmetry applied to the Jz = 1/2 sum rule. We…

High Energy Physics - Phenomenology · Physics 2008-01-09 Gordon P. Ramsey , Yev Binder , Dennis Sivers

The lowest two Mellin moments of hadronic Generalized Parton Distributions are explored within a model that allows investigation of the inter-related quark and gluon contributions. For light quarks their dynamical connection is strong due…

High Energy Physics - Phenomenology · Physics 2023-06-14 Peter C. Tandy

The orbital angular momenta $L^u$ and $L^d$ of up and down quarks in the proton are estimated as functions of the energy scale as model-independently as possible, on the basis of Ji's angular momentum sum rule. This analysis indicates that…

High Energy Physics - Phenomenology · Physics 2011-02-01 M. Wakamatsu

The BFKL and the unified angular-ordered equations are solved to determine the gluon distribution at small $x$. The impact of kinematic constraints is investigated. Predictions are made for observables sensitive to the gluon at small $x$.…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. Kwiecinski , A. D. Martin , P. J. Sutton

The Sivers mechanism for the single-spin asymmetry in unpolarized lepton scattering from a transversely polarized nucleon is driven by the orbital angular momentum carried by its quark and gluon constituents, combined with QCD final-state…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. J. Brodsky , S. Gardner

The difference between the quark orbital angular momentum (OAM) defined in light-cone gauge (Jaffe-Manohar) compared to defined using a local manifestly gauge invariant operator (Ji) is interpreted in terms of the change in quark OAM as the…

High Energy Physics - Phenomenology · Physics 2020-01-14 Matthias Burkardt

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