Semi-relativistic (e,2e) study with twisted electron beam on Cu and Ag

Abstract

In this communication, we report our calculations of Triple Differential Cross-Section (TDCS) for relativistic (e,2e) with twisted electron beam on heavy atomic targets, namely Cu, Au and Ag, in coplanar asymmetric geometry mode. The formalism has been developed in the first Born approximation using the Dirac plane wave as well as the twisted electron wave for the incident electron to study the effect of various parameters of the twisted electron on the relativistic (e,2e) process. We use Dirac plane wave, semi relativistic Coulomb wave and Darwin wave function for the scattered, ejected and K-shell electron respectively. We compare the angular profile of the TDCS for different values of Orbital Angular Momentum (OAM) (m) of the twisted electron with that of the plane wave. We segregate the TDCS for charge-charge interaction and current-current interaction with their interference term and study the effect of various parameters of the twisted electron beam on them, namely opening angle (θp), OAM number (m) and impact parameter (b). The spin asymmetry in TDCS caused by polarized incident electron beam is also studied to elucidate the effects of twisted electron beam on relativistic (e,2e) process.

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

“…The results indicated a shift in the binary and recoil peak for twisted electron cross-sections from their plane wave locations due to the projectile's transverse momentum components. 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.…”

Electron impact single ionization of hydrogen molecule by twisted electron beam

“…The results indicated a shift in the binary and recoil peak for twisted electron's crosssections from their plane wave locations due to the projectile's transverse momentum components. The recent study by Mandal et al (2020) showed the dependence of the TAM number (m) on the angular profile of the TDCS and spin asymmetry for the relativistic electron impact ionization of the heavy atomic targets [54]. Furthermore, Dhankhar et al [55] studied theoretically the double ionization of He atom in θ-variable and constant θ 12 mode for the twisted electron incidence.…”

Electron impact single ionization of hydrogen molecule by twisted electron beam

“…We are not presenting the results of our calculations of the elastic cross-section for H 2 molecule for brevity. We have also compared our calculation of the (e,2e) process on the hydrogen atom for the twisted electron with the one reported by Harris et al (2019) [54] treating the ejected electron as plane wave. We confirmed that our calculations also reproduce the results of Harris et al for an impact energy, E i = 1 keV and E e as 20 eV, 50 eV and 100 eV for θ s = 10 mrad with different values of θ p , i.e.…”

“…The results indicated a shift in the binary and recoil peak for twisted electron's cross-sections from their plane wave locations due to the projectile's transverse momentum components. The recent study by Mandal et al (2020) showed the dependence of the TAM number (m) on the angular profile of the TDCS and spin asymmetry for the relativistic electron impact ionization of the heavy atomic targets [54]. Furthermore, Dhankhar et al [55] studied theoretically the double ionization of He atom in θvariable and constant θ 12 mode for the twisted electron incidence.…”