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The Bessel-Gaussian modal spectrum, generated in spontaneous parametric down-conversion of a Gaussian pump beam, is considered. This is done by first deriving a general expression for the true probability of detecting specific transverse…

Optics · Physics 2012-01-09 Filippus S. Roux

We give physical explanations of explicit invariant expressions for the energy and angular momentum densities of gravitational fields in stationary space-times. These expressions involve non-locally defined conformal factors. In certain…

General Relativity and Quantum Cosmology · Physics 2014-11-17 D. Lynden-Bell , Joseph Katz , Jiri Bicak

The transverse mass of semi-invisibly decaying particles, calculated from the transverse momenta of their decay products, has been used in a broad range of searches and measurements at hadron colliders, such as the LHC. This variable is…

High Energy Physics - Phenomenology · Physics 2019-05-01 Daniel R. Tovey

In this contribution TMD evolution of azimuthal asymmetries, in particular of the Sivers and double Collins asymmetries, is addressed. A comparison of the scale dependence is made between asymmetries described with TMD factorization at low…

High Energy Physics - Phenomenology · Physics 2015-06-16 Daniel Boer

How does one measure the angular momentum carried away by gravitational radiation during the merger of a binary black hole? This has been a subtle issue since the 1960's due to the discovery of ``supertranslation ambiguity": the angular…

General Relativity and Quantum Cosmology · Physics 2023-03-07 Mu-Tao Wang

In this paper we present a new technique for analysis of transverse momentum dependent parton distribution functions, based on the Bessel weighting formalism. The procedure is applied to studies of the double longitudinal spin asymmetry in…

High Energy Physics - Phenomenology · Physics 2015-06-22 M. Aghasyan , H. Avakian , E. De Sanctis , L. Gamberg , M. Mirazita , B. Musch , A. Prokudin , P. Rossi

We present an introduction to mass and angular momentum in General Relativity. After briefly reviewing energy-momentum for matter fields, first in the flat Minkowski case (Special Relativity) and then in curved spacetimes with or without…

General Relativity and Quantum Cosmology · Physics 2015-05-18 J. L. Jaramillo , E. Gourgoulhon

Inspired by a formula of Stern that relates scalar curvature to harmonic functions, we evaluate the mass of an asymptotically flat $3$-manifold along faces and edges of a large coordinate cube. In terms of the mean curvature and dihedral…

Differential Geometry · Mathematics 2020-08-26 Pengzi Miao

We investigate the angular momentum decomposition with a quantum electrodynamics example to clarify the proton spin decomposition debates. We adopt the light-front formalism where the parton model is well defined. We prove that the sum of…

High Energy Physics - Phenomenology · Physics 2015-01-09 Tianbo Liu , Bo-Qiang Ma

We use an analytic framework to calculate the evolution of binary orbits under a physically-motivated model that accounts for angular momentum loss associated with winds from an accretion disk around the compact objected accretor. Our…

High Energy Astrophysical Phenomena · Physics 2023-08-28 Monica Gallegos-Garcia , Jonatan Jacquemin-Ide , Vicky Kalogera

The gravitational energy-momentum and angular momentum satisfy the algebra of the Poincare group in the full phase space of the teleparallel equivalent of general relativity. The expression for the gravitational energy-momentum may be…

General Relativity and Quantum Cosmology · Physics 2009-11-13 J. W. Maluf , S. C. Ulhoa

Most models for the strong decay of mesons, as well as unquenched quark models which incorporate the effect of coupling to meson-meson channels, assume that the coupling is driven by the creation of a quark-antiquark pair in spin triplet.…

High Energy Physics - Phenomenology · Physics 2013-11-15 T. J. Burns

We present a general theory of spin-to-orbital angular momentum (AM) conversion of light in focusing, scattering, and imaging optical systems. Our theory employs universal geometric transformations of nonparaxial optical fields in such…

We review basic physics and novel types of optical angular momentum. We start with a theoretical overview of momentum and angular momentum properties of generic optical fields, and discuss methods for their experimental measurements. In…

Optics · Physics 2015-09-04 Konstantin Y. Bliokh , Franco Nori

Often it is asserted that only by using of the symmetric Landau-Lifschitz energy-momentum complex one is able to formulate a conserved angular momentum complex in General Relativity ({\bf GR}). Obviously, it is an uncorrect statement. For…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Janusz Garecki

We introduce a notion of "cross-section continuity" as a criterion for the viability of definitions of angular momentum, $J$, at null infinity: If a sequence of cross-sections, ${\mathcal C}_n$, of null infinity converges uniformly to a…

General Relativity and Quantum Cosmology · Physics 2022-12-20 Po-Ning Chen , Daniel Paraizo , Robert M. Wald , Mu-Tao Wang , Ye-Kai Wang , Shing-Tung Yau

The total angular momentum of light has received attention for its application in a variety of phenomena such as optical communication, optical forces and sensing. However, the quantum behavior including the commutation relations have been…

Optics · Physics 2024-03-26 Pronoy Das , Li-Ping Yang , Zubin Jacob

We show how to reduce the general formulation of the mass-angular momentum inequality, for axisymmetric initial data of the Einstein equations, to the known maximal case whenever a geometrically motivated system of equations admits a…

General Relativity and Quantum Cosmology · Physics 2015-02-17 Ye Sle Cha , Marcus A. Khuri

Generalized definitions for angular and linear momentum are given and shown to reduce to the ADM (at spatial infinity) definitions and the definitions at null infinity in the appropriate limit. These definitions are used to express angular…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Anthony Rizzi

We study the relations between moments of fusion cross sections and averages of angular momentum. The role of the centrifugal barrier and the target deformation in determining the effective barrier radius are clarified. A simple method for…

Nuclear Theory · Physics 2008-11-26 A. B. Balantekin , A. J. DeWeerd , S. Kuyucak