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Higher spin theories can be efficiently described in terms of auxiliary St\"uckelberg or projective space field multiplets. By considering how higher spin models couple to scale, these approaches can be unified in a conformal…

High Energy Physics - Theory · Physics 2013-08-01 Euihun Joung , Massimo Taronna , Andrew Waldron

The Coulomb interaction between the two protons is included in the calculation of proton-deuteron elastic scattering, radiative proton-deuteron capture and two-body electromagnetic disintegration of ${}^3\mathrm{He}$. The hadron dynamics is…

Nuclear Theory · Physics 2009-11-11 A. Deltuva , A. C. Fonseca , P. U. Sauer

The orbital angular momentum operator expansion turns to be a powerful tool to construct the fully covariant partial wave amplitudes of hadron decay reactions and hadron photo- and electroproduction processes. In this paper we consider a…

High Energy Physics - Phenomenology · Physics 2018-08-01 M. A. Matveev , A. V. Sarantsev , K. M. Semenov-Tian-Shansky , A. N. Semenova

In this work, building up on [1] we present momentum space Ward identities related to broken higher spin symmetry as an alternate approach to computing correlators of spinning operators in interacting theories such as the quasi-fermionic…

High Energy Physics - Theory · Physics 2021-07-28 Sachin Jain , Renjan Rajan John , Vinay Malvimat

In this paper, we study the effects of an interaction between dark matter and dark energy through a two scalar field model with a potential $V(\phi,\chi)=e^{-\lambda\phi}P(\phi,\chi)$, where $P(\phi,\chi)$ is a polynomial. We show that the…

General Relativity and Quantum Cosmology · Physics 2012-12-21 Orfeu Bertolami , Pedro Carrilho , Jorge Páramos

A simple, and elegant geometrical representation is developed to describe the concept of coherence and squeezing for angular momentum operators. Angular momentum squeezed states were obtained by applying Bogoliubov transformation on the…

Quantum Physics · Physics 2007-05-23 Abir Bandyopadhyay , Jagdish Rai

We consider a new kinetic equation for systems with a multistep potential of interaction proposed by us recently in Physica A 234 (1996) 89. This potential consists of the hard sphere part and a system of attractive and repulsive walls.…

Statistical Mechanics · Physics 2007-05-23 M. V. Tokarchuk , I. P. Omelyan , A. E. Kobryn

We calculate the Wigner function for charged spin-1 particles in inhomogeneous classical electromagnetic fields, going to first order in a power series in $\hbar$. The Boltzmann equation for the scalar distribution function obtained from…

Nuclear Theory · Physics 2022-07-29 David Wagner , Nora Weickgenannt , Enrico Speranza

We describe in more detail our approach to the conformal bootstrap which uses the Mellin representation of $CFT_d$ four point functions and expands them in terms of crossing symmetric combinations of $AdS_{d+1}$ Witten exchange functions.…

High Energy Physics - Theory · Physics 2017-05-24 Rajesh Gopakumar , Apratim Kaviraj , Kallol Sen , Aninda Sinha

The Nijmegen soft-core model for the pseudoscalar-meson baryon interaction is derived, analogous to the Nijmegen NN and YN models. The interaction Hamiltonians are defined and the resulting amplitudes for one-meson-exchange and…

Nuclear Theory · Physics 2009-11-11 H. Polinder , Th. A. Rijken

Few-body problems involving Coulomb or gravitational interactions between pairs of particles, whether in classical or quantum physics, are generally handled through a standard multipole expansion of the two-body potentials. We discuss an…

Stewart has provided a position-space derivation of an identity for the volume integral of the square of a vector field that was quoted by Gubarev, Stodolsky and Zakharov. In this comment, I provide a momentum-space derivation of this…

Classical Physics · Physics 2009-11-13 Robert L. Intemann

This paper addresses the workspace analysis of the orthoglide, a 3-DOF parallel mechanism designed for machining applications. This machine features three fixed parallel linear joints which are mounted orthogonally and a mobile platform…

Robotics · Computer Science 2007-05-23 Damien Chablat , Philippe Wenger , Jean-Pierre Merlet

Effects due to fermion-vacuum polarization by an external static magnetic field are considered in a two-dimensional noncompact curved space with a nontrivial topology. An expression for the vacuun angular momentum is obtained. Like the…

High Energy Physics - Theory · Physics 2007-05-23 Yu. A. Sitenko , D. G. Rakityansky

Discrete mechanics makes it possible to formulate any problem of fluid mechanics or fluid-structure interaction in velocity and potentials of acceleration; the equation system consists of a single vector equation and potentials updates. The…

Fluid Dynamics · Physics 2020-04-02 Jean-Paul Caltagirone , Stephane Vincent

In these notes we construct the momentum-space potentials from configuration-space using for the Fourier-transformation the Gaussian-Expansion-Method (GEM). This has the advantage that the Fourier-Bessel integrals can be performed…

Nuclear Theory · Physics 2014-09-22 Th. A. Rijken

Partial wave scattering amplitudes in baryon-baryon and baryon-antibaryon collisions and amplitudes for the production and decay of baryon resonances are constructed in the framework of the spin-momentum operator expansion method. The…

High Energy Physics - Phenomenology · Physics 2009-09-29 A. V. Anisovich , V. V. Anisovich , E. Klempt , V. A. Nikonov , A. V. Sarantsev

We examine the procedure to construct the variables of use for the momentum representation in quantum mechanics. The momentum variables must be chosen properly conjugate to the corresponding position space variables, such that valid…

Quantum Physics · Physics 2020-01-29 John R. Lombardi

We investigate a quantum nonrelativistic system describing the interaction of two particles with spin 1/2 and spin 0, respectively. We assume that the Hamiltonian is rotationally invariant and parity conserving and identify all such systems…

Mathematical Physics · Physics 2015-06-11 Jean-Francois Desilets , Pavel Winternitz , Ismet Yurdusen

We evaluate one-loop partition functions of higher-spin fields in thermal flat space with angular potentials; this computation is performed in arbitrary space-time dimension, and the result is a simple combination of Poincar\'e characters.…

High Energy Physics - Theory · Physics 2016-05-04 Andrea Campoleoni , Hernan A. Gonzalez , Blagoje Oblak , Max Riegler
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