Confinement-correlation impact upon electron elastic scattering off endohedral atoms: the $e + {\rm Ne}@{\rm C}_{60}$ case

A recent work [1] has provided the initial insight into electron elastic scattering off endohedral atoms $A@C_{60}$. There, the atom $A$ and $C_{60}$ cage were regraded as non-polarizable targets. A question of how lifting the rigid-$A$-rigid-$C_{60}$ constrain can affect $e + A@C_{60}$ scattering has remained open. The present study provides a partial insight into the problem. It accounts for polarization of the atom by incoming electrons in the presence of rigid $C_{60}$. This is an interesting in itself topic of study from the point of view of basic science. The Dyson theory for the self-energy part of the Green function $\Sigma_{e}(\epsilon)$ of an electron moving in the field of A confined inside of rigid $C_{60}$ is employed in the study. The function $\Sigma_{e}(\epsilon)$ is regarded in the framework of the RPAE theory. The $e + Ne@C_{60}$ elastic scattering is chosen as a case study. The s, p, d, f, g, and h phase shifts and partial (and total) electron elastic-scattering cross sections are calculated with and without accounting for $\Sigma_{e}(\epsilon)$. Calculated results provide the first insight into the confinement-correlation impact upon $e+A@C_{60}$ elastic scattering.\\[4pt] [1] V. K. Dolmatov, M. B. Cooper, and M. E. Hunter, J. Phys. B \textbf{47}, 115002, 2014.