Scattering of e ^± from the neon isonuclear series over the energy range 1 eV–0.5 GeV

Abstract

This work calculates the differential, integral and momentum transfer cross sections for the scattering of e ± by the neutral neon over the energy range 1 eV-0.5 GeV and those of e − by the ions (Ne + -Ne 10+ ) over the range 1 eV-1 keV. It also includes the estimation of the viscosity, inelastic, total and total ionization cross sections and Sherman function for the e ± -atom systems over the same energy range. Our calculations involve two approaches, the optical potential model (OPM) and the nuclear structure approach (NSA), depending upon the collision energy. Both the approaches employ Dirac partial wave analysis but differ in the potentials. In OPM, a complex projectile-target optical potential, comprising static, exchange, polarization and imaginary components, is employed. In the NSA, only the nuclear potential is used, neglecting the screening of the electrons. Moreover, we have determined positions of critical minima, in energy and angle, from the analysis of elastic differential cross sections and Sherman function at different energies. Our results agree reasonably well with the available experimental data and other theoretical calculations.

Theoretical studies on the elastic scattering of e± off the ions of xenon isonuclear series

“…This coherent interference, a reflection of core penetration of projectile electron, is manifested as sharp structure in the angular distribution. This Airy structure does not have noteworthy appearance in DCS of electrons scattered elastically from the ions of isonuclear series of low or intermediate atomic number [3,12,19]. Prominent short-range interaction, emerging due to the large number of dressing electrons of xenon ions of low and intermediate ionicities, contribute to this Airy structure.…”

“…This study is also motivated to glean information on the charge (ionic) and energy dependence of the of various scattering observables. Previously we studied the features of isonuclear series of light and medium atoms, like nitrogen [3], neon [12] and argon [2]. Therefore it is an additional impetus to investigate how the above features across an isonuclear series emerges out for a heavy atom and to see whether a new physics content unfolds.…”

Angular distributions and critical minima in the elastic scattering of electrons by atomic copper

“…We have tabulated these eight deepest minima in Table 1 with their respective critical energy E c and critical angle θ c . In order to qualify a minimum to be a CM, it must satisfy the criterion ∣ g ( θ ) ∣ > ∣ f ( θ )∣ as in References [28–31]. In the present work, all of the deepest minima are qualified as CM as they have satisfied the condition, as evident in Table 1.…”

“…Again, the electrons of the atom are repelled by forming a “Coulomb hole” surrounding the projectile electron when it penetrates through the bulk of the atom. [ 28 ] Hence, electron‐electron correlation is effective. The parameterization of the correlation potential is given by Perdew and Zunger [ 37 ] as where β 0 = − 0.1423, β 1 = 1.0529, β 2 = 0.3334, and r s is the density parameter given as …”

“…[ 27 ] This method produced reasonable results for determining CM, maximum spin polarization (MSP) and cross sections for elastic differential scattering, and integral cross sections (elastic, total, momentum transfer) for a number of targets. [ 28–31 ] Testing of this procedure for Cu, an open‐shell atom, would provide not only production data for applications but also serve as a test case of the effectiveness of the present method for an open‐shell atom.…”