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We derive exact expressions, in the form of Fourier integrals over the (k,w) domain, for the energy, momentum, and angular momentum of a light pulse propagating in free space. The angular momentum is seen to split naturally into two parts.…

Optics · Physics 2012-05-29 Masud Mansuripur

The uncertainty relation between angle and orbital angular momentum had not been formulated in a similar form as the uncertainty relation between position and linear momentum because the angle variable is not represented by a quantum…

Quantum Physics · Physics 2015-07-17 Shogo Tanimura

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

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 set forth a method to analyze the orbital angular momentum of a light field. Instead of using the canonical formalism for the conjugate pair angle-angular momentum, we model this latter variable by the superposition of two independent…

Quantum Physics · Physics 2013-12-20 L. L. Sanchez-Soto , A. B. Klimov , P. de la Hoz , I. Rigas , J. Rehacek , Z. Hradil , G. Leuchs

In the context of a growing interdisciplinary interest in the angular momentum of wave fields, the spin-wave case has yet to be fully explored, with the extensively studied notion of spin transport being only part of the broader picture.…

Mesoscale and Nanoscale Physics · Physics 2026-04-02 Thierry Valet , Kei Yamamoto , Benjamin Pigeau , Grégoire de Loubens , Olivier Klein

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

We discuss the Wigner functions of the nucleon which provide multi-dimensional images of the quark distributions in phase space. They combine in a single picture all the information contained in the generalized parton distributions (GPDs)…

High Energy Physics - Phenomenology · Physics 2012-06-15 Cédric Lorcé , Barbara Pasquini

Analytical and numerical results, for the orbital and spin content carried by different quark flavors in the baryons, are given in the chiral quark model with symmetry breaking. The reduction of the quark spin, due to the spin dilution in…

High Energy Physics - Phenomenology · Physics 2009-10-31 Xiaotong Song

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 study the orbital angular momentum contribution to the spin structure of the proton. It is well known that the quark and gluon spin contributions do not add up to the proton spin. We motivate the connection between the Generalized…

High Energy Physics - Phenomenology · Physics 2016-02-02 Abha Rajan , Simonetta Liuti

A theoretical prediction is given for the spin and orbital angular momentum distribution functions of the nucleon within the framework of an effective quark model of QCD, i.e. the chiral quark soliton model. An outstanding feature of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Wakamatsu , T. Watabe

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 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

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

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

It is known how to access information on quark orbital angular momentum from generalized parton distribution functions, in a certain specified framework. It is intuitively expected, that such information can be accessed also through…

High Energy Physics - Phenomenology · Physics 2017-08-23 H. Avakian , A. V. Efremov , P. Schweitzer , O. V. Teryaev , P. Zavada

A major controversy has arisen in QCD as to how to split the total angular momentum into separate quark and gluon contributions, and as to whether the gluon angular momentum can itself be split, in a gauge invariant way, into a spin and…

High Energy Physics - Phenomenology · Physics 2011-06-07 Elliot Leader

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 2011-07-21 B. Pasquini , C. Lorcé

We reply to the Comment of X. Ji [arXiv:0810.4913] on our paper [PRL 100:232002 (2008)], concerning angular momentum algebra, locality, Lorentz covariance, and measurability of our gauge-invariant description of the spin and orbital angular…

High Energy Physics - Phenomenology · Physics 2008-12-24 Xiang-Song Chen , Xiao-Fu Lü , Wei-Min Sun , Fan Wang , T. Goldman