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We present an analytic two-loop calculation within the scalar diquark model of the potential linear and angular momenta, defined as the difference between the Jaffe-Manohar and Ji notions of linear and angular momenta. As expected by parity…

High Energy Physics - Phenomenology · Physics 2021-07-21 David Arturo Amor-Quiroz , Matthias Burkardt , William Focillon , Cédric Lorcé

We compare the orbital angular momentum of the 'quark' in the scalar diquark model as well as that of the electron in QED (to order {\alpha}) obtained from the Jaffe-Manohar de- composition to that obtained from the Ji relation. We estimate…

High Energy Physics - Phenomenology · Physics 2015-05-27 Hikmat BC , Matthias Burkardt

Definitions of orbital angular momentum based on Wigner distributions are used to discuss the connection between the Ji definition of the quark orbital angular momentum and that of Jaffe and Manohar. The difference between these two…

Nuclear Theory · Physics 2017-01-25 Matthias Burkardt

We calculate the orbital angular momentum of the `quark' in the scalar diquark model as well as that of the electron in QED (to order $\alpha$). We compare the orbital angular momentum obtained from the Jaffe-Manohar decomposition to that…

High Energy Physics - Phenomenology · Physics 2010-04-30 Matthias Burkardt , Hikmat BC

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

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

One of the challenges of hadronic physics is to fully understand the structure of the proton. In particular, there is nowadays a great interest in the decomposition of its total angular momentum into orbital angular momentum and intrinsic…

High Energy Physics - Phenomenology · Physics 2019-07-16 D. A. Amor-Quiroz , M. Burkardt , C. Lorcé

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 2022-03-02 Matthias Burkardt

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

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

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 2012-07-05 Alessandro Bacchetta , Marco Radici

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…

High Energy Physics - Phenomenology · Physics 2015-01-16 Tianbo Liu , Bo-Qiang Ma

Penrose's twistorial approach to the definition of angular momentum at null infinity is developed so that angular momenta at different cuts can be meaningfully compared. This is done by showing that the twistor spaces associated with…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Adam D. Helfer

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

Impact parameter dependent parton distributions are transversely distorted when one considers transversely polarized nucleons and/or quarks. This provides a physical mechanism for the T-odd Sivers effect in semi-inclusive deep-inelastic…

High Energy Physics - Phenomenology · Physics 2009-11-11 Matthias Burkardt

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 study $pp$ scattering at high energies and moderately large momentum transfer, using a model in which the proton is viewed as being composed of a quark and a diquark. We show that this model leads to single and double spin transverse…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. V. Goloskokov , P. Kroll

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 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

A Lattice QCD approach to quark orbital angular momentum in the proton based on generalized transverse momentum-dependent parton distributions (GTMDs) is enhanced methodologically by incorporating a direct derivative technique. This…

High Energy Physics - Lattice · Physics 2020-10-28 M. Engelhardt , J. R. Green , N. Hasan , S. Krieg , S. Meinel , J. Negele , A. Pochinsky , S. Syritsyn
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