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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…

High Energy Physics - Phenomenology · Physics 2024-10-30 Osamah Alkasassbeh , Abha Rajan , Michael Engelhardt , Simonetta Liuti

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

A new debate has recently arisen on the subject of orbital angular momentum in QCD, in particular on its observability and on its partonic interpretation. Orbital momentum can be defined in QCD using two different decomposition schemes that…

High Energy Physics - Phenomenology · Physics 2014-12-02 Aurore Courtoy , Gary R. Goldstein , J. Osvaldo Gonzalez Hernandez , Simonetta Liuti , Abha Rajan

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

We study the Wigner functions of the nucleon which provide multidimensional images of the quark distributions in phase space. These functions can be obtained through a Fourier transform in the transverse space of the generalized…

High Energy Physics - Phenomenology · Physics 2011-08-08 Cedric Lorce , Barbara Pasquini

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

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 perform an analysis of the quark angular momentum in a light-cone representation by taking into account the effect due to the Melosh-Wigner rotation and find that there is a relativistic correction factor connecting the quark orbital…

High Energy Physics - Phenomenology · Physics 2009-10-31 Bo-Qiang Ma , Ivan Schmidt

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

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…

High Energy Physics - Phenomenology · Physics 2015-06-17 Aurore Courtoy , Gary R. Goldstein , J. Osvaldo Gonzalez Hernandez , Simonetta Liuti , Abha Rajan

Definitions of orbital angular momentum based on Wigner distributions are used as a framework to discuss the connection between the Ji definition of the quark orbital angular momentum and that of Jaffe and Manohar.We find that the…

High Energy Physics - Phenomenology · Physics 2015-06-05 Matthias Burkardt

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…

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

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 orbital angular momentum ($L_q$) of the proton is studied by employing the extended constituent quark model. Contributions from different flavors, namely, up, down, strange, and charm quarks in the proton are investigated. Probabilities…

High Energy Physics - Phenomenology · Physics 2019-06-05 C. S. An , B. Saghai

The proton spin puzzle issue focused the attention on the parton spin and orbital angular momentum contributions to the proton spin. However, a complete characterization of the proton spin structure requires also the knowledge of the parton…

High Energy Physics - Phenomenology · Physics 2015-06-22 Cédric Lorcé

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…

High Energy Physics - Phenomenology · Physics 2009-10-31 F. Cano , P. Faccioli , S. Scopetta , M. Traini

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

We study the connection between the quark orbital angular momentum and the pretzelosity transverse-momentum dependent parton distribution function. We discuss the origin of this relation in quark models, identifying as key ingredient for…

High Energy Physics - Phenomenology · Physics 2012-03-23 B. Pasquini , C. Lorce'

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…

High Energy Physics - Phenomenology · Physics 2015-06-19 Asmita Mukherjee , Sreeraj Nair , Vikash Kumar Ojha

We discuss the quark phase-space or Wigner distributions of the nucleon which combine in a single picture all the information contained in the generalized parton distributions and the transverse-momentum dependent parton distributions. In…

High Energy Physics - Phenomenology · Physics 2015-06-11 Cedric Lorce , Barbara Pasquini
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