Electron impact single ionization of hydrogen molecule by twisted electron beam

Abstract

In this communication, we present the results of the five-fold differential cross-section (5DCS) and triple differential cross-section (TDCS) for the (e, 2e) process on molecular hydrogen (H2) by the plane wave and the twisted electron beam impact. The formalism is developed within the first Born approximation using the plane wave and the twisted wave for the incident electron beam. We describe the plane wave, Heitler–London type wave function, Coulomb wave for the scattered electron, the H2 molecular state, and the ejected electron. We compare the angular profiles of the 5DCS and TDCS for the different values of orbital angular momentum (OAM) number m of the twisted electron beam with that of the plane wave beam. We also present the 5DCS for different molecular orientations and study the effect of m on the 5DCS. We further investigate the influence of the twisted electron beam on the (e,2e) process on the H2 molecule from the perspective of the ‘Young-type’ interference of the scattered waves, emanating from the two atomic centers of the H2 molecule. We also study the TDCS for macroscopic H2 target to explore the effect of opening angle (θ p) of the twisted electron beam on the TDCS. Our results clearly show the effect of the twisted electron’s OAM number (m) and the opening angle (θ p) on the 5DCS and TDCS of the molecular hydrogen.

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

“…By substituting the plane wave-function with the Bessel wave-function (equation (16) in equation( 3)), we obtain the twisted wave transition amplitude (T tw f i (κ, q)) in terms of the plane wave transition amplitude T f i (q) (equation ( 12)) as (in the frozen-core approximation) [45];…”

“…They also explored the influence of the twisted electron beam on the (e,2e) process on the H 2 molecule from the perspective of the 'Young-type' interference of the scattered waves emanating from the two atomic centers of the H 2 molecule. Their results found that the angular profile of the TDCS and FDCS depends on the OAM number, m, and the opening angle, θ p , of the incident twisted electron beam [45].…”

Promises and challenges of high-energy vortex states collisions

“…Inelastic collision of twisted electrons with atoms or molecules can also lead to impact ionization of atoms and molecules [156,157]. In these (e, 2e) processes, the incident vortex electron knocks out a secondary electron of much lower energy.…”

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

“…here, e − i , e − s , e − e , X and X + represents the incident, scattered, the ejected electron, the target atom and the ionized target respectively. The theory used here closely follows the approach used in our previous studies [39,40]. We have carried out the theoretical analysis in the framework of the first Born approximation.…”

“…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]. Dhankhar et al investigated the influence of the OAM number 'm' and the opening angle θ p single ionization cross-sections of H 2 and H 2 O molecule by twisted electron waves independently [39,40].…”