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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

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

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

We perform a systematic study on the spin decomposition of an electron in QED at one-loop order. It is found that the electron orbital angular momentum defined in Jaffe-Manohar and Ji spin sum rules agrees with each other, and the so-called…

High Energy Physics - Phenomenology · Physics 2016-03-23 Xiangdong Ji , Andreas Schäfer , Feng Yuan , Jian-Hui Zhang , Yong Zhao

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 make use of a simple scalar diquark model to study the potential transverse momentum and potential angular momentum, defined as the difference between the Jaffe-Manohar and Ji notions of transverse momentum and orbital angular momentum,…

High Energy Physics - Phenomenology · Physics 2020-06-16 David Arturo Amor-Quiroz , Matthias Burkardt , William Focillon , Cédric Lorcé

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

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

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 developed a new and unified scheme for describing both quark spin and orbital angular momenta in symmetry-breaking chiral quark model. The loss of quark spin in the chiral splitting processes is compensated by the gain of the orbital…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiaotong Song

Quark spin and orbital angular momentum in the nucleon are calculated in symmetry-breaking chiral quark model. The results are compared with data and other models.

High Energy Physics - Phenomenology · Physics 2007-05-23 X. Song

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

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

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

Using the MIT bag model, we study the contribution from the gluon vector potential due to the spectators to the orbital angular momentum of a quark in the bag model. For $\alpha_s = {\cal O}(1)$, this spectator contribution to the quark…

High Energy Physics - Phenomenology · Physics 2010-11-05 Matthias Burkardt , Abdullah Jarrah

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

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

Quark orbital angular momentum (OAM) in the proton can be calculated directly given a Wigner function encoding the simultaneous distribution of quark transverse positions and momenta. This distribution can be accessed via proton matrix…

High Energy Physics - Lattice · Physics 2019-01-04 M. Engelhardt , J. Green , N. Hasan , S. Krieg , S. Meinel , J. Negele , A. Pochinsky , S. Syritsyn

The spin and orbital angular momentum carried by different quark flavors in the nucleon are calculated in the SU(3) chiral quark model with symmetry-breaking. The model is extended to all octet and decuplet baryons. In this model, the…

High Energy Physics - Phenomenology · Physics 2007-05-23 X. Song

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
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