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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

Given a Wigner distribution simultaneously characterizing quark transverse positions and momenta in a proton, one can directly evaluate their cross-product, i.e., quark orbital angular momentum. The aforementioned distribution can be…

High Energy Physics - Lattice · Physics 2017-05-24 M. Engelhardt

Leading and subleading twist transverse momentum dependent parton distribution functions (TMDs) are studied in a quark model framework provided by the bag model. A complete set of relations among different TMDs is derived, and the question…

High Energy Physics - Phenomenology · Physics 2011-10-14 H. Avakian , A. V. Efremov , P. Schweitzer

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…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. V. Bashinsky , R. L. Jaffe

We present first results from our analysis of the most general quark-quark correlator of the nucleon, which can be parameterized in terms of so-called generalized transverse momentum dependent parton distributions. These results include the…

High Energy Physics - Phenomenology · Physics 2008-12-23 S. Meissner , A. Metz , M. Schlegel

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…

High Energy Physics - Phenomenology · Physics 2013-08-09 Xiangdong Ji , Xiaonu Xiong , Feng Yuan

We review quark model calculations of the transverse momentum dependent parton distributions (TMDs). For the T-even TMDs, we discuss the physical origin of model relations which hold in a large class of quark models. For the T-odd TMDs we…

High Energy Physics - Phenomenology · Physics 2017-08-23 B. Pasquini , C. Lorce'

The determination of quark angular momentum requires the knowledge of the generalized parton distribution E in the forward limit. We assume a connection between this function and the Sivers transverse-momentum distribution, based on model…

High Energy Physics - Phenomenology · Physics 2013-05-29 Alessandro Bacchetta , Marco Radici

We show that quark orbital angular momentum is directly related to off-forward correlation functions which include intrinsic transverse momentum corresponding to a derivative with respect to the transverse coordinates. Its possible…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ph. Hagler , A. Mukherjee , A. Schafer

Generalized transverse momentum-dependent parton distributions (GTMDs) provide a comprehensive framework for imaging the internal structure of the proton. In particular, by encoding the simultaneous distribution of quark transverse…

High Energy Physics - Lattice · Physics 2021-12-28 M. Engelhardt , J. R. Green , N. Hasan , T. Izubuchi , C. Kallidonis , S. Krieg , S. Liuti , S. Meinel , J. Negele , A. Pochinsky , A. Rajan , G. Silvi , S. Syritsyn

Leading and subleading twist transverse momentum dependent parton distribution functions (TMDs) are studied in a quark model framework provided by the bag model. A complete set of relations among different TMDs is derived, and the question…

High Energy Physics - Phenomenology · Physics 2010-05-12 H. Avakian , A. V. Efremov , P. Schweitzer , F. Yuan

Transverse-momentum dependent parton distributions (TMDs) are studied in the framework of quark models. In particular, quark-model relations among TMDs are reviewed, elucidating their physical origin in terms of the quark-spin structure in…

High Energy Physics - Phenomenology · Physics 2011-09-13 C. Lorce , B. Pasquini

We present the first study of quark gravitational transverse-momentum distributions within the light-front quark--diquark model (LFQDM) inspired by the soft-wall AdS/QCD framework. We derive analytical expressions for the six unpolarized…

High Energy Physics - Phenomenology · Physics 2026-04-14 Kauship Saha , Dipankar Chakrabarti , Asmita Mukherjee

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…

High Energy Physics - Phenomenology · Physics 2016-03-23 Cédric Lorcé , K. F. Liu

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, $\tilde{E}_{2T}$,…

High Energy Physics - Phenomenology · Physics 2015-08-05 Simonetta Liuti , Aurore Courtoy , Michael Engelhardt , Abha Rajan

We study the orbital angular momentum structure of the quarks inside the proton. By employing the light-cone diquark model and the overlap representation formalism, we calculate the chiral-even generalized parton distribution functions…

High Energy Physics - Phenomenology · Physics 2010-12-13 Zhun Lu , Ivan Schmidt

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…

High Energy Physics - Lattice · Physics 2024-06-04 M. Engelhardt , N. Hasan , S. Krieg , S. Liuti , S. Meinel , J. Negele , A. Pochinsky , M. Rodekamp , S. Syritsyn

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 2022-03-02 Cedric Lorce , Barbara Pasquini

We discuss in detail a method to study transverse momentum dependent parton distribution functions (TMDs) using lattice QCD. To develop the formalism and to obtain first numerical results, we directly implement a bi-local quark-quark…

High Energy Physics - Lattice · Physics 2012-07-17 Bernhard U. Musch , Philipp Hägler , John W. Negele , Andreas Schäfer

We discuss the general formalism for the calculation in light-front quark models of the fully unintegrated, off-diagonal quark-quark correlator of the nucleon, parametrized in terms of generalized transverse momentum dependent parton…

High Energy Physics - Phenomenology · Physics 2013-04-05 B. Pasquini , C. Lorce'