Radiative recombination of twisted electrons with bare nuclei: going beyond the Born approximation

Abstract

We present a fully relativistic investigation of the radiative recombination of a twisted electron with a bare heavy nucleus. The twisted electron is described by the wave function which accounts for the interaction with the nucleus in all orders in $\alpha Z$. We use this wave function to derive the probability of the radiative recombination with a single ion being shifted from the twisted electron propagation direction. We also consider more realistic experimental scenarios where the target is either localized (mesoscopic) or infinitely wide (macroscopic). The situation when the incident electron is a coherent superposition of two vortex states is considered as well. For the nonrelativistic case we present analytical expressions which support our numerical calculations. We study in details the influence of the electron twistedness on the polarization and angular distribution of the emitted photon. It is found that these properties of the outgoing photon might be very sensitive to the total angular momentum and kinematic properties of twisted beams. Therefore, the recombination of the twisted electrons can serve as a valuable tool for atomic investigations as well as for the diagnostics of the vortex electron beams.

arXiv comment20 pages, 7 figures

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• Elastic scattering of twisted electrons by atomic target: Going beyond the Born approximation
• Nonuniform currents and spins of relativistic electron vortices in a magnetic field
• Evolution of the accelerated charged vortex particle in an inhomogeneous magnetic lens
• Decay of the vortex muon
• Resonant sequential two-photon ionization of atoms by twisted and plane-wave light
• Bremsstrahlung from twisted electrons in the field of heavy nuclei
• Construction of Dirac spinors for electron vortex beams in background electromagnetic fields
• Radiative spin polarization in an ultrastrong magnetic field
• Fractional Angular Momenta, Gouy and Berry phases in Relativistic Bateman-Hillion-Gaussian Beams of Electrons
• Semi-relativistic (e,2e) study with twisted electron beam on Cu and Ag
• Scattering of a twisted electron wavepacket by a finite laser pulse
• Dynamics of relativistic vortex electrons in external laser fields
• Radiative recombination of twisted electrons with hydrogen-like heavy ions: Linear polarization of emitted photons
• Universal Analytic Solution for the Quantum Transport of Structured Matter-Waves in Magnetic Optics
• Conversion of twistedness from light to atoms
• Geometry-Enabled Radiation from Structured Paraxial Electrons