TY - JOUR

T1 - Radiative recombination of twisted electrons with bare nuclei

T2 - Going beyond the Born approximation

AU - Zaytsev, V. A.

AU - Serbo, V. G.

AU - Shabaev, V. M.

N1 - Publisher Copyright: ©2017 American Physical Society.

PY - 2017/1/12

Y1 - 2017/1/12

N2 - 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 αZ. 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. This probability is utilized for the consideration of a more realistic experimental scenario where the target is 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.

AB - 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 αZ. 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. This probability is utilized for the consideration of a more realistic experimental scenario where the target is 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.

KW - ORBITAL ANGULAR-MOMENTUM

KW - VORTEX BEAMS

UR - http://www.scopus.com/inward/record.url?scp=85009967901&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.95.012702

DO - 10.1103/PhysRevA.95.012702

M3 - Article

AN - SCOPUS:85009967901

VL - 95

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 1

M1 - 012702

ER -