Rutherford scattering of electron vortices
Quantum Physics
2014-04-02 v2 Optics
Abstract
By considering a cylindrically symmetric generalization of a plane wave, the first Born approximation of screened Coulomb scattering unfolds two new dimensions in the scattering problem: transverse momentum and orbital angular momentum of the incoming beam. In this paper, the elastic Coulomb scattering amplitude is calculated analytically for incoming Bessel beams. This reveals novel features occurring for wide angle scattering when the incoming beam is correctly prepared. The result successfully generalizes the well known Rutherford formula, incorporating transverse and orbital angular momentum into the formalism.
Keywords
Cite
@article{arxiv.1312.1184,
title = {Rutherford scattering of electron vortices},
author = {Ruben Van Boxem and Bart Partoens and Jo Verbeeck},
journal= {arXiv preprint arXiv:1312.1184},
year = {2014}
}
Comments
9 pages, 5 figures