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Scattering by infinite hexagonal ice prisms is calculated using Maxwell's equations in the discrete dipole approximation for size parameters up to x=400. Birefringence is included in the calculations. Applicability of the geometric optics…

Atmospheric and Oceanic Physics · Physics 2015-06-22 P. J. Flatau , B. T. Draine

We describe bound states, resonances and elastic scattering of light ions using a $\delta$-shell potential. Focusing on low-energy data such as energies of bound states and resonances, charge radii, asymptotic normalization coefficients,…

Nuclear Theory · Physics 2019-11-11 Benjamin K. Luna , T. Papenbrock

Based on the spectator expansion of the multiple scattering series we employ a nonlocal translationally invariant nuclear density derived from a chiral next-to-next-to-leading order (NNLO) and the very same interaction for consistent…

Nuclear Theory · Physics 2018-12-05 Ch. Elster , M. Burrows , S. P. Weppner , K. Launey , P. Maris , G. Popa

We perform a first-principle calculation of optical potentials for nucleon elastic scattering off medium-mass isotopes. Fully based on a saturating chiral Hamiltonian, the optical potentials are derived by folding nuclear density…

Nuclear Theory · Physics 2024-03-22 Matteo Vorabbi , Carlo Barbieri , Vittorio Somà , Paolo Finelli , Carlotta Giusti

We study the nonlinear Schrodinger equations with a linear potential. A change of variables makes it possible to deduce results concerning finite time blow up and scattering theory from the case with no potential.

Analysis of PDEs · Mathematics 2007-05-23 Remi Carles , Yoshihisa Nakamura

This paper is concerned with the inverse elastic scattering problem for a random potential in three dimensions. Interpreted as a distribution, the potential is assumed to be a microlocally isotropic Gaussian random field whose covariance…

Analysis of PDEs · Mathematics 2021-02-16 Jianliang Li , Peijun Li , Xu Wang

We propose a simple linear scaling expression in reciprocal space for evaluating the ion--electron potential of crystalline solids. The expression replaces the long-range ion--electron potential with an equivalent localized charge…

Materials Science · Physics 2016-12-21 Xuecheng Shao , Wenhui Mi , Qiang Xu , Yanchao Wang , Yanming Ma

Relativistic tunnel ionization of atoms by intense, elliptically polarized light is considered. The relativistic version of the Landau-Dykhne formula is employed. The general analytical expression is obtained for the relativistic…

Atomic Physics · Physics 2009-10-31 J. Ortner

A microscopic optical potential (OP) is derived from NN chiral potentials at the first-order term within the spectator expansion of the multiple scattering theory and adopting the impulse approximation. The performances of our OP are…

Nuclear Theory · Physics 2019-12-20 C. Giusti , M. Vorabbi , P. Finelli

The optical model potentials for nucleon-nucleus elastic scattering at $65$~MeV are calculated for $^{12}$C, $^{16}$O, $^{28}$Si, $^{40}$Ca, $^{56}$Fe, $^{90}$Zr and $^{208}$Pb in first order multiple scattering theory, following the…

Nuclear Theory · Physics 2009-09-25 C. R. Chinn , Ch. Elster , R. M. Thaler , S. P. Weppner

It is shown that a relativistic multiple scattering theory for hadron-nucleus scattering can be consistently formulated in four-dimensions in the context of meson exchange. We give a multiple scattering series for the optical potential and…

Nuclear Theory · Physics 2008-11-26 Khin Maung Maung , John W. Norbury , Trina Coleman

The alignment dependence of the ionization behavior of H$_2$ exposed to intense ultrashort laser pulses is investigated on the basis of solutions of the full time-dependent Schr\"odinger equation within the fixed-nuclei and dipole…

Quantum Physics · Physics 2013-05-29 Yulian V. Vanne , Alejandro Saenz

A problem of monoenergetic particles pulse reflection from half-infinite stratified medium is considered in conditions of elastic scattering with absorbtion account. The theory is based on multiple scattering series solution of Kolmogorov…

Mathematical Physics · Physics 2011-12-15 Sergey Leble , Alexei Buzdin

We demonstrate in a solvable model the connection between the intrinsic electric polarizability $\bar{\alpha}$ and the value $\alpha_{Sch}$ obtained from neutron-atom scattering.

Nuclear Theory · Physics 2011-04-15 M. Bawin , S. A. Coon

We construct a novel scattering theory to investigate magnetoelectrically induced spin polarizations. Local spin polarizations generated by electric currents passing through a spin-orbit coupled mesoscopic system are measured by an external…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Ph. Jacquod

Employing a particularly suitable higher order symplectic integration algorithm, we integrate the 1-$d$ nonlinear Schr\"odinger equation numerically for solitons moving in external potentials. In particular, we study the scattering off an…

chao-dyn · Physics 2009-10-28 Helge Frauenkron , Peter Grassberger

I present numerical study of an elastic scattering by solving second order differential equations of Schroedinger Equation for some types of central potential (eg. square well, Yukawa, and Woods-Saxon) to find the wave function inside the…

Nuclear Theory · Physics 2021-09-14 C. Wibisono

The experimental observables for the elastic reaction induced by protons on electrons are calculated in the Born approximation. Model independent expressions are derived for the differential cross section and polarization observables.…

Nuclear Theory · Physics 2011-09-06 G. I. Gakh , A. Dbeyssi , D. Marchand , E. Tomasi Gustafsson , V. V. Bytev

We calculate the inelastic scattering probabilities in the wide band limit of a local polaron model with quadratic coupling to bosons. The central object is a two-particle Green function which is calculated exactly using a purely algebraic…

Materials Science · Physics 2010-03-25 Thomas Olsen

Model independent expressions for all polarization observables in $\mu+p\to \mu+p$ elastic scattering are obtained, taking into account the lepton mass and including the two-photon exchange contribution. The spin structure of the matrix…

Nuclear Theory · Physics 2015-05-20 G. I. Gakh , M. Konchatnyi , A. Dbeyssi , E. Tomasi-Gustafsson