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The transversely-polarized state of a proton with arbitrary momentum is not an eigenstate of transverse angular momentum operator. The latter does not commute with the QCD Hamiltonian. However, the expectation value of the transverse…

High Energy Physics - Phenomenology · Physics 2020-09-23 Xiangdong Ji , Feng Yuan

Orbital angular momentum (OAM) of photons is carried upon the wave front of an optical vortex and is important in physics research due to its fundamental degree of freedom. As for the interaction with materials, the optical OAM was shown to…

Applied Physics · Physics 2018-09-17 Yoshiki Kohmura , Kei Sawada , Masaichiro Mizumaki , Kenji Ohwada , Tetsuya Ishikawa

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

This study explores the role of nucleon exchange for the generation of the fission fragment angular momenta. For a number of typical fission cases, samples of 10,000 shape evolutions are generated by Langevin simulation and, subsequently,…

Nuclear Theory · Physics 2026-03-31 Jorgen Randrup , Pavel Nadtochy , Christelle Schmitt , Katarzyna Mazurek

A focusing system such as a single lens or a spherical mirror imparts intrinsic transverse orbital angular momentum (OAM) to spatiotemporal (ST) coupled fields the ST intensity distribution of which presents ST covariance. This fact may…

Optics · Physics 2024-02-28 Miguel A. Porras , Spencer W. Jolly

We investigate the leading-twist gluonic distribution functions within the proton by formulating a light-front spectator model. The proton light-front wave functions (LFWFs) are adopted from the soft-wall AdS/QCD predictions, and the model…

High Energy Physics - Phenomenology · Physics 2024-08-14 Poonam Choudhary , Dipankar Chakrabarti , Bheemsehan Gurjar , Tanmay Maji , Chandan Mondal , Asmita Mukherjee

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 determine the small Bjorken $x$ asymptotics of the quark and gluon orbital angular momentum (OAM) distributions in the proton in the double-logarithmic approximation (DLA), which resums powers of $\alpha_s \ln^2 (1/x)$ with $\alpha_s$…

High Energy Physics - Phenomenology · Physics 2019-05-01 Yuri V. Kovchegov

I review what is known about the quark and gluon spin distributions in the nucleon. I discuss in some detail (a) the existence of sum rules for angular momentum; (b) the interpretation and possible measurement of the nucleon's transversity…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. L. Jaffe

Most of the hadronic jet models for quasars (QSOs) and microquasars (MQs) found in literature represent beams of particles (e.g. protons). These particles interact with the matter in the stellar wind of the companion star in the system or…

High Energy Astrophysical Phenomena · Physics 2015-05-27 Diego F. Torres , Anita Reimer

Some nonperturbative aspects of spin studies at RHIC are discussed and the predictions for single- and two-spin asymmetries are given. Among them are those which emphasize the role of angular orbital momentum in the spin structure of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sergey Troshin , Nikolai Tyurin

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 present a general analysis of the orbital angular momentum (OAM) distribution of gluons $L_g(x)$ inside the nucleon with particular emphasis on the small-$x$ region. We derive a novel operator representation of $L_g(x)$ in terms of…

High Energy Physics - Phenomenology · Physics 2017-07-05 Yoshitaka Hatta , Yuya Nakagawa , Bowen Xiao , Feng Yuan , Yong Zhao

The role of relativity and dynamics in defining the spin and orbital angular momentum content of hadronic systems is discussed.

High Energy Physics - Theory · Physics 2015-06-23 W. N. Polyzou , W. Glöckle , H. Witała

We report a quantum mechanical method for calculating the momentum distributions of constituent atoms of polyatomic molecules in rotational-vibrational eigenstates. Application of the present theory to triatomic molecules in the…

Chemical Physics · Physics 2024-06-10 Sota Sakaguchi , Yasuhiro Ohshima , Masakazu Yamazaki

We derive a new twist-3 partonic sum rule for the transverse spin of the proton, which involves the well-know quark spin structure function $g_T(x)=g_1(x)+g_2(x)$, the less-studied but known transverse gluon polarization density $\Delta…

High Energy Physics - Phenomenology · Physics 2021-06-30 Yuxun Guo , Xiangdong Ji , Kyle Shiells

We investigate the Wigner distributions and generalized transverse momentum-dependent distributions (GTMDs) for $u$ and $d$ quarks in the proton by using light-front quark-diquark model. We consider the contribution of scalar and…

High Energy Physics - Phenomenology · Physics 2018-10-29 Satvir Kaur , Harleen Dahiya

The spin structure of the proton is investigated in the framework of an extended quark potential model which in addition to the conventional $3q$--structure also takes into account $(3q)(q\bar q)$--admixtures in the proton wave function.…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. Keppler , H. M. Hofmann

We study the nucleon's partonic angular momentum (AM) content at peripheral transverse distances $b = \mathcal{O}(M_\pi^{-1})$, where the structure is governed by chiral dynamics. We compute the nucleon form factors of the energy-momentum…

High Energy Physics - Phenomenology · Physics 2019-08-14 Carlos Granados , Christian Weiss

The orbital angular momentum is one of the least understood of the spin characteristics of a proton. There are no direct ways to model the orbital angular momentum. However, the Jz=1/2 sum rule includes an angular momentum component and can…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gordon P. Ramsey