Double ionization of helium by twisted electron beam

Abstract

In this communication, we report our calculations of the five-fold differential cross-section (FDCS) for (e,3e) on the He atom using both the plane wave and the twisted incident electron beam. The formalism has been developed in the first Born approximation using the plane wave as well as the twisted electron wave for the incident electron. We describe plane wave, Le Sech, and 2 Coulomb wave with Gamow factor (2CG) respectively for the scattered, bound electrons of He atom and the ejected electrons. We compare the angular profile of the FDCS for different values of orbital angular momentum (OAM) (m) of the twisted electron with that of the plane wave. We present the angular profiles of the FDCS in the θ-variable and constant θ12 mode in the coplanar geometry. The effects of the opening angle (θp) of the twisted electron on the angular profile of the FDCS are also studied.

Triple differential cross-section for the twisted electron impact ionization of water molecule

“…The recent study by showed the dependence of the Total Angular Momentum (TAM) number (m), and opening angle (θ p ) on the angular profile of the TDCS and spin asymmetry for the relativistic electron impact ionization of the heavy atomic targets [43]. Furthermore, Dhankhar et al [44] studied theoretically the double ionization of He atom in θ -variable and constant θ 12 mode for the twisted electron incidence. The same group also investigated the Five-Fold Differential Cross-section (FDCS) and TDCS for the single ionization of molecular hydrogen (H 2 ).…”

Twisted electron impact single ionization coincidence cross-sections for noble gas atoms

“…Therefore, we can evaluate the twisted wave matrix element T tw f i in terms of the plane wave matrix element T pw f i [37]. The key difference here is that the momentum transfer vector q = k i − k s has to be calculated using the new twisted wave momentum vector k i from equation 13.…”

“…The FDCS showed a shift in recoil and binary peak positions due to the transverse momentum component. Dhankhar et al reported theoretical calculations of the five-fold differential cross-section of double ionization of He atom by twisted waves in θ variable mode and constant θ 12 -mode [37]. The study by showed the dependence of the Total Angular Momentum (TAM) number (m) and opening angle (θ p ) on the angular profile of the TDCS and spin asymmetry for the relativistic electron impact ionization of the heavy atomic targets [38].…”

Electron spectra for twisted electron collisions

“…To date, all of the studies of energy or angular electron spectra were completed using traditional, plane-wave type electrons in which the dynamics of (e, 2e) collisions for simple atomic targets are now essentially well-understood [7][8][9][10]. However, in the last decade the production of new structured electron wave packets has led to a renewed interest in (e, 2e) collisions for simple atomic targets [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. In particular, electron vortex projectiles have many properties that make them quite different from their plane wave counterparts.…”