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Point-form relativistic quantum mechanics is applied to elastic electron-deuteron scattering. The deuteron is modeled using relativistic interactions that are scattering-equivalent to the nonrelativistic Argonne $v_{18}$ and Reid '93…

Nuclear Theory · Physics 2011-07-19 T. W. Allen , W. H. Klink , W. N. Polyzou

It is shown that, for a wide class of functions with physical interest as forward scattering amplitudes, integral dispersion relations can be replaced by derivative forms without any high-energy approximation. The applicability of these…

High Energy Physics - Phenomenology · Physics 2015-06-25 R. F. Avila , M. J. Menon

In this paper, we study a tensor-based method for the numerical solution of a class of diffusion--reaction equations defined on spatial domains that admit common curvilinear coordinate representations. Typical examples in 2D include disks…

Numerical Analysis · Mathematics 2026-04-14 Marco Caliari , Fabio Cassini

A number of different multiscale methods have been developed as a robust alternative to upscaling and as a means for accelerated reservoir simulation of high-resolution geomodels. In their basic setup, multiscale methods use a restriction…

Numerical Analysis · Mathematics 2020-01-07 Øystein Strengehagen Klemetsdal , Olav Møyner , Knut-Andreas Lie

We investigate the relativistic scattering of three identical scalar bosons interacting via pair-wise interactions. Extending techniques from the non-relativistic three-body scattering theory, we provide a detailed and general prescription…

Nuclear Theory · Physics 2023-03-09 Sebastian M. Dawid , Md Habib E Islam , Raúl A. Briceño

We describe a method for the numerical solution of the relativistic Euler equations which we have found to be both robust and efficient, and which has enabled us to simulate relativistic jets. The technique employs a solver of the…

Astrophysics · Physics 2007-05-23 G. Comer Duncan , Philip A. Hughes

In this work we address several issues associated with orbital angular momentum relevant for leading twist polarized deep inelastic scattering. We present a detailed analysis of the light-front helicity operator (generator of rotations in…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Harindranath , Rajen Kundu

Kinematical relativistic effects are analyzed within the plane-wave impulse approximation for outgoing nucleon polarized responses in coincidence electron scattering. Following recent approaches for non-relativistic reductions of the…

Nuclear Theory · Physics 2016-08-16 M. C. Martínez , J. A. Caballero , T. W. Donnelly

We propose a numerical method to approximate the scattering amplitudes for the elasticity system with a non-constant matrix potential in dimensions $d=2$ and $3$. This requires to approximate first the scattering field, for some incident…

Numerical Analysis · Mathematics 2021-07-27 Juan A. Barceló , Carlos Castro

We present an extension to next-to-leading order in the strong coupling constant $g$ of the AMY effective kinetic approach to the energy loss of high momentum particles in the quark-gluon plasma. At leading order, the transport of jet-like…

High Energy Physics - Phenomenology · Physics 2016-03-17 Jacopo Ghiglieri , Guy D. Moore , Derek Teaney

Differential cross sections are computed for the title polar molecule using static interaction, exchange forces and correlation-polarisation effects as described in detail in the main text. The dipole effect is also reported via the dipole…

Chemical Physics · Physics 2009-11-13 F. A. Gianturco , T. Stoecklin

In this paper I discuss a formulation of relativistic few-particle scattering theory where the dynamical input is a collection of reflection-positive Euclidean covariant Green functions. This formulation of relativistic quantum mechanics…

Mathematical Physics · Physics 2015-06-18 W. N. Polyzou

We present an effective two-channel model for reactive collisions of cold atoms. It augments elastic molecular channels with an irreversible, inelastic loss channel. Scattering is studied with the distorted-wave Born approximation and…

Atomic and Molecular Clusters · Physics 2018-02-14 Christian Cop , Reinhold Walser

A new effective action for the high energy quark-quark scatterings is obtained by applying a scaling approximation to the QCD action. The propagators are shown to factorize into the transverse and the longitudinal parts so that the…

High Energy Physics - Theory · Physics 2009-12-30 B. K. Chung , Soonkeon Nam , Q-Han Park , H. J. Shin

The purpose of this work is to find the time dependent distributions of directions and positions of a particle that undergoes multiple elastic scattering. The angular cross section is given and the scatterers are randomly placed. The…

Disordered Systems and Neural Networks · Physics 2007-05-23 Ricardo Garcia-Pelayo

Wavefunction-splitting or mask method, widely used in the non-relativistic calculations of the photoelectron angular distributions, is extended to the relativistic domain within the dipole approximation. Since the closed-form expressions…

Atomic Physics · Physics 2020-10-28 D. A. Tumakov , Dmitry A. Telnov , G. Plunien , V. A. Zaytsev , V. M. Shabaev

Optical binding interactions between laser-trapped spherical microparticles are familiar in a wide range of trapping configurations. Recently it has been demonstrated that these experiments can be accurately modeled using Mie scattering or…

Optics · Physics 2015-05-13 J. M. Taylor , G. D. Love

We derive a general formula for the correlation function of two identical particles with the inclusion of multiple elastic scatterings in the medium in which the two particles are produced. This formula involves the propagator of the…

Nuclear Theory · Physics 2008-11-26 J. I. Kapusta , Y. Li

In this paper, we establish the existence of the unique global-in-time classical solutions to the multi-component BGK model suggested in \cite{mixmodel} when the initial data is a small perturbation of global equilibrium. For this, we…

Analysis of PDEs · Mathematics 2022-01-06 Gi-Chan Bae , Christian Klingenberg , Marlies Pirner , Seok-Bae Yun

Within linear-response theory we derive a response function that thoroughly takes into account the influence of elastic scattering and is valid beyond the long-wavelength limit. We apply the theo-ry to plasmons in graphene and the…

Mesoscale and Nanoscale Physics · Physics 2018-01-16 M. Bahrami , P. Vasilopoulos