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We investigate the scattering phenomena in two dimensions produced by a general finite-range nonseparable potential. This situation can appear either in a Cartesian geometry or in a heterostructure with cylindrical symmetry. Increasing the…

Mesoscale and Nanoscale Physics · Physics 2010-09-03 P. N. Racec , E. R. Racec , H. Neidhardt

Scattering of electromagnetic (EM) waves by one and many small ($ka\ll 1$) impedance particles $D_m$ of an arbitrary shape, embedded in a homogeneous medium, is studied. Analytic formula for the field, scattered by one particle, is derived.…

Analysis of PDEs · Mathematics 2013-04-10 A. G. Ramm

The one-loop helicity amplitudes for the elastic scattering process $\gamma\nu\to\gamma\nu$ in the Standard Model are computed at high center of mass energies. A general decomposition of the amplitudes is utilized to investigate the…

High Energy Physics - Phenomenology · Physics 2009-12-31 Ali Abbasabadi , Alberto Devoto , Wayne W. Repko

We introduce a nonperturbative approximation scheme for performing scattering calculations in two dimensions that involves neglecting the contribution of the evanescent waves to the scattering amplitude. This corresponds to replacing the…

Quantum Physics · Physics 2023-07-21 Farhang Loran , Ali Mostafazadeh

The eikonal profile function $J(b)$ obtained from the Model of the Stochastic Vacuum is parametrized in a form suitable for comparison with experiment. The amplitude and the extended profile function (including imaginary and real parts) are…

High Energy Physics - Phenomenology · Physics 2011-03-23 Flavio Pereira , Erasmo Ferreira

A new version of the R-matrix Floquet theory for laser-assisted electron-atom scattering is presented. The theory is non-perturbative and applicable to a non-relativistic many-electron atom or ion in a homogeneous linearly polarized field.…

Atomic Physics · Physics 2009-11-07 Mariko Terao-Dunseath , Kevin Dunseath

An explicit formula is derived for the electromagnetic (EM) field scattered by one small impedance particle $D$ of an arbitrary shape. If $a$ is the characteristic size of the particle, $\lambda$ is the wavelength, $a<<\lambda$ and $\zeta$…

Optics · Physics 2015-03-03 Alexander G. Ramm

Using coupled-cluster theory and interactions from chiral effective field theory, we compute overlap functions for transfer and scattering of low-energy protons on the target nucleus 40-Ca. Effects of three-nucleon forces are included…

Nuclear Theory · Physics 2012-08-14 G. Hagen , N. Michel

Aspects of of plane wave electromagnetic scattering by a radially inhomogeneous sphere is discussed. The vector problem is reduced to two scalar radial `Schr\"odinger-like' equations, and a connection with time-independent potential…

Classical Physics · Physics 2013-07-08 John A. Adam , Umaporn Nuntaplook

Motion of test particles in the gravitational field associated with an electromagnetic plane wave is investigated. The interaction with the radiation field is modeled by a force term {\it \`a la} Poynting-Robertson entering the equations of…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Andrea Geralico

Low-energy elastic and inelastic scattering in the Ps(1$s$)-Ps(2$s$) channel is treated in a four-body hyperspherical coordinate calculation. Adiabatic potentials are calculated for triplet-triplet, singlet-singlet, and singlet-triplet spin…

Atomic Physics · Physics 2019-08-07 Michael D. Higgins , Kevin M. Daily , Chris H. Greene

Based on an invariant embedding principle for the backscattering function we calculate the electron emission yield for metal surfaces at very low electron impact energies. Solving the embedding equation within a quasi-isotropic…

Materials Science · Physics 2022-04-06 F. X. Bronold , H. Fehske

The scattering of electrons off nuclei is one of the best methods of probing nuclear structure. In this paper we focus on electron scattering off nuclei with spin and isospin zero within the Skyrme model. We consider two distinct methods…

Nuclear Theory · Physics 2016-05-04 M. Karliner , C. King , N. S. Manton

A new scheme for constructing approximate effective electron potentials within density-functional theory is proposed. The scheme consists of calculating the effective potential for a series of reference systems, and then using these…

Condensed Matter · Physics 2016-08-14 K. Stokbro , N. Chetty , K. W. Jacobsen , J. K. Nørskov

The problem of elastic scattering of electron Airy beams on potential fields is considered for a hydrogen atom in the ground state and for Yukawa potential. It is demonstrated that the angular dependence of the scattering probability…

Quantum Physics · Physics 2023-07-05 D. Grosman , N. Sheremet , I. Pavlov , D. Karlovets

This paper presents and discusses the conditions for zero electromagnetic scattering by electrically small particles. We consider the most general bi-anisotropic particles, characterized by four dyadic polarizabilities and study the case of…

Classical Physics · Physics 2015-06-11 Joni Vehmas , Younes Ra'di , Antti Karilainen , Sergei Tretyakov

We investigate the scattering theory of two particles in a generic $D$-dimensional space. For the s-wave problem, by adopting an on-shell approximation for the $T$-matrix equation, we derive analytical formulas which connect the Fourier…

Quantum Gases · Physics 2023-03-31 F. Lorenzi , A. Bardin , L. Salasnich

We explicitly calculate the scattering matrix at energy zero for attractive, radial and homogeneous long-range potentials. This proves a conjecture by Derezinski and Skibsted.

Spectral Theory · Mathematics 2015-05-13 Rupert L. Frank

We introduce a recipe to estimate the low-energy scattering parameters of a quantum few-body system - scattering length, effective range, and shape parameter - by using only discrete state calculations. We place the system in an artificial…

Nuclear Theory · Physics 2025-08-12 D. V. Fedorov , A. M. Pedersen

The theory of scattering of atom pairs in a periodic potential is presented for the case of different atoms. When the scattering dynamics is restricted to the lowest Bloch band of the periodic potential, a separation in relative and average…

Other Condensed Matter · Physics 2009-11-13 R. T. Piil , N. Nygaard , K. Molmer