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A quasipotential formalism for elastic scattering from relativistic bound states is based on applying an instant constraint to both initial and final states in the Breit frame. This formalism is advantageous for the analysis of…

Nuclear Theory · Physics 2016-09-08 N. K. Devine , S. J. Wallace

The electromagnetic interactions of a relativistic two-body bound state are formulated in three dimensions using an equal-time (ET) formalism. This involves a systematic reduction of four-dimensional dynamics to a three-dimensional form by…

Nuclear Theory · Physics 2008-11-26 D. R. Phillips , S. J. Wallace , N. K. Devine

Point-form relativistic quantum mechanics is used to derive an expression for the electromagnetic form factor of a pseudoscalar meson for space-like momentum transfers. The elastic scattering of an electron by a confined quark-antiquark…

Nuclear Theory · Physics 2010-04-23 Elmar P. Biernat , Kajetan Fuchsberger , William H. Klink , Wolfgang Schweiger

We consider a one-dimensional matter-wave bright soliton, corresponding to the ground bound state of N particles of mass m having a binary attractive delta potential interaction on the open line. For a full N-body quantum treatment, we…

Quantum Gases · Physics 2013-09-19 Christoph Weiss , Yvan Castin

Within a quasipotential framework a relativistic analysis is presented of the deuteron current. Assuming that the singularities from the nucleon propagators are important, a so-called equal time approximation of the current is constructed.…

Nuclear Theory · Physics 2008-11-26 E. Hummel , J. A. Tjon

We review a three-dimensional formalism that provides a systematic way to include relativistic effects including relativistic kinematics, the effects of negative-energy states, and the boosts of the two-body system in calculations of…

Nuclear Theory · Physics 2007-05-23 Daniel R. Phillips

This work studies time-dependent electromagnetic scattering from obstacles whose interaction with the wave is fully determined by a nonlinear boundary condition. In particular, the boundary condition studied in this work enforces a power…

Numerical Analysis · Mathematics 2023-10-30 Jörg Nick

An accurate and efficient numerical simulation approach to electromagnetic wave scattering from two-dimensional, randomly rough, penetrable surfaces is presented. The use of the M\"uller equations and an impedance boundary condition for a…

Optics · Physics 2010-06-03 Ingve Simonsen , Alexei A. Maradudin , Tamara A. Leskova

We consider a quantum theory of elastic light scattering from macroscopic atomic sample existing in the Bose-Einstein condensate (BEC) phase. Following to the second quantized formalism we introduce a set of coupled and closed diagram…

Quantum Physics · Physics 2017-01-17 Victoria Ezhova , Leonid Gerasimov , Dmitriy Kupriyanov

The effective electromagnetic current density for a two-nucleon system that is described by the Blankenbecler-Sugar equation is derived. In addition to the single nucleon currents there are exchange currents of two different origins. The…

Nuclear Theory · Physics 2009-10-22 F. Coester , D. O. Riska

A numerical-analytical simulation of scattering by a three-barrier heterostructure of an electronic Gaussian wave packet, the spectral width of which is on the order of the distance between the levels of the doublet of quasi-stationary…

Mesoscale and Nanoscale Physics · Physics 2022-01-10 Yu. G. Peisakhovich , A. A. Shtygashev

The electroweak response functions for inclusive electron scattering are calculated in the Relativistic Fermi Gas model, both in the quasi-elastic and in the $\Delta$ peak regions. The impact of relativistic kinematics at high momentum…

Nuclear Theory · Physics 2016-11-23 Maria B. Barbaro

We consider the elastic scattering and bound states of charged quantum particles moving in the Aharonov-Bohm and an attractive $\rho^{-2}$ potential in a partial wave approach. Radial solutions of the stationary Schr\"{o}dinger equation are…

Quantum Physics · Physics 2008-11-26 Juergen Audretsch , Vladimir D. Skarzhinsky , Boris L. Voronov

Scattering states with LEED asymptotics are calculated for a general non-muffin tin potential, as e.g. for a pseudopotential with a suitable barrier and image potential part. The latter applies especially to the case of low lying conduction…

Materials Science · Physics 2009-10-30 S. Lorenz , C. Solterbeck , W. Schattke , J. Burmeister , W. Hackbusch

In this paper, we consider the scattering of a time-dependent electromagnetic wave by an elastic body immersed in the lower half-space of a two-layered background medium which is separated by an unbounded rough surface. By proposing two…

Analysis of PDEs · Mathematics 2021-02-04 Changkun Wei , Jiaqing Yang , Bo Zhang

Elastic waves scattering off a periodic single and double array of thin cylindrical defects is considered for isotropic materials. An analytical expression for the scattering matrix is obtained by means of the Lippmann-Schwinger formalism…

Classical Physics · Physics 2022-10-18 Omer Haq , Sergei Shabanov

The Lorenz--Mie formulation of electromagnetic scattering by a homogeneous, isotropic, dielectric-magnetic sphere was extended to incorporate topologically insulating surface states characterized by a surface admittance $\gamma$.…

Optics · Physics 2020-03-31 Akhlesh Lakhtakia , Tom G. Mackay

We obtain an exact many-body scattering eigenstate in an open quantum dot system. The scattering state is not in the form of the Bethe eigenstate in the sense that the wave-number set of the incoming plane wave is not conserved during the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Akinori Nishino , Takashi Imamura , Naomichi Hatano

A consistent semiquantitative theoretical analysis of electronic Raman scattering from many-electron quantum dots under resonance excitation conditions has been performed. The theory is based on random-phase-approximation-like wave…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Alain Delgado , Augusto Gonzalez , D. J. Lockwood

Two relativistic approaches to charged-current quasielastic neutrino-nucleus scattering are illustrated and compared: one is phenomenological and based on the superscaling behavior of electron scattering data and the other relies on the…

Nuclear Theory · Physics 2015-05-30 M. B. Barbaro , J. E. Amaro , J. A. Caballero , T. W. Donnelly , J. M. Udias
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