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A new method is proposed for extrapolation of elastic-scattering data to the negative-energy region for a short-range interaction. The method is based on the analytic approximation of the modulus-squared of the partial-wave scattering…

Nuclear Theory · Physics 2019-09-04 L. D. Blokhintsev , A. S. Kadyrov , A. M. Mukhamedzhanov , D. A. Savin

Inelastic scattering of electrons incident on a solid surface is determined by the two properties: (i) electronic response of the target system and (ii) the detailed quantum-mechanical motion of the projectile electron inside and in the…

Materials Science · Physics 2016-01-06 V. U. Nazarov , V. M. Silkin , E. E. Krasovskii

The calculations of the elastic scattering properties of ultracold-francium isotopes are reported in the detail. A parametric model potential for the triplet molecular states of the Fr$_{2}$ is represented, and the scattering lengths at and…

Atomic Physics · Physics 2016-08-16 M. Kemal Öztürk , Süleyman Özçelik

The elastic and inelastic high--energy small--angle electron--positron scattering is considered. All radiative corrections to the cross--section with the relative accuracy $\delta\sigma/ \sigma = 0.1 \% $ are explicitly taken into account.…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. B. Arbuzov , V. S. Fadin , E. A. Kuraev , L. N. Lipatov , N. P. Merenkov , L. G. Trentadue

In this paper, based on the analysis of the formula (2.2) for calculating the elastic scattering diagrams of microparticles on a multilayer crystal surface, derived by the author in the article [3], it is shown that the stochastic approach…

General Physics · Physics 2021-10-04 Mikhail Batanov-Gaukhman

Scattering of electromagnetic waves by many small particles of arbitrary shapes is reduced rigorously to solving linear algebraic system of equations bypassing the usual usage of integral equations. The matrix elements of this linear…

Mathematical Physics · Physics 2009-11-11 A. G. Ramm

We propose a framework for calculating scattering and bound state properties in anisotropic two-dimensional potentials. Using our method, we derive systematic approximations of partial wave phase shifts and binding energies. Moreover, the…

Quantum Gases · Physics 2012-01-31 Matthias Rosenkranz , Weizhu Bao

The problem of an electromagnetic wave scattered from a random medium layer with rough boundaries is formulated using integral equations which involve two kinds of Green functions. The first one describes the wave scattered by the random…

Atmospheric and Oceanic Physics · Physics 2007-05-23 A. Soubret , G. Berginc

An analytic description of laser-assisted electron-atom scattering (LAES) in an elliptically polarized field is presented using time-dependent effective range (TDER) theory to treat both electron-laser and electron-atom interactions…

Atomic Physics · Physics 2015-06-12 A. V. Flegel , M. V. Frolov , N. L. Manakov , Anthony F. Starace , A. N. Zheltukhin

Inspired by the problem of elastic wave scattering on wrinkled interfaces, we studied the scattering of ballistic electrons on a wrinkled potential energy region. The electron transmission coefficient depends on both wrinkle amplitude and…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 T. L. Mitran , G. A. Nemnes , L. Ion , Daniela Dragoman

An approach based on splitting the reaction potential into a finite range part and a long range tail part to describe few-body scattering in the case of a Coulombic interaction is proposed. The solution to the Schr\"odinger equation for the…

Atomic Physics · Physics 2016-06-13 E. Yarevsky , S. L. Yakovlev , N. Elander

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

The exact two-particle energy eigenstates in a generic asymmetric rectangular box with periodic boundary conditions in all three directions are studied. Their relation with the elastic scattering phases of the two particles in the continuum…

High Energy Physics - Lattice · Physics 2009-11-10 Xu Feng , Xin Li , Chuan Liu

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

In this work, we study the elastic scattering behavior of electron vortices when propagating through amorphous samples. We use a formulation of the multislice approach in cylindrical coordinates to theoretically investigate the…

Materials Science · Physics 2021-03-22 Stefan Löffler , Stefan Sack , Thomas Schachinger

The adiabatic projection method is a general framework for studying scattering and reactions on the lattice. It provides a low-energy effective theory for clusters which becomes exact in the limit of large Euclidean projection time.…

Several methods of extracting the magnitude of the real parts of the elastic hadron scattering amplitude - from the experimental data are presented. These methods allows us to obtain the real parts at one definite point of the transfer…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. V. Selyugin

Scattering of two spinless charge particles for simple forces including coulomb admixtures is calculated without partial wave decomposition. The coulomb interaction being taken is of the type of screened coulomb potential. For the forces…

Nuclear Theory · Physics 2015-06-04 Fahmi Maulida , Imam Fachruddin

The scattering of a weakly bound (halo) projectile nucleus by a heavy target nucleus is investigated. A new approach, called the Uncorrelated Scattering Approximation, is proposed. The main approximation involved is to neglect the…

Nuclear Theory · Physics 2009-11-07 A. M. Moro , J. A. Caballero , J. Gómez-Camacho

Scattering phase shift, as a key parameter in scattering theory, plays an important role in characterizing low-energy collisions between ultracold atoms. In this work, we theoretically investigate the universal low-energy behavior of the…

Quantum Gases · Physics 2022-05-25 Cai-Xia Zhang , Shi-Guo Peng
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