Young‐type interference in soft lepton scattering of diatomic homonuclear molecules

Abstract

Interference patterns in the scattering of positrons and electrons by diatomic homonuclear molecules are ab initio calculated. Our results are compared to model potential calculations with incident particles in twisted and plane wave states. All calculations are obtained in the first Born approximation framework. The comparison of the elastic differential cross sections shows how an ab initio description of the electronic molecular structure influence the interference minima structure. The origin of such patterns is also discussed.

Low Energy Positron Scattering by F and F2

“…Such structures are positioned in different angles for each different molecule. This is somehow expected; however, this trend seems to repeat itself among this molecular group. We show this comparison in Figure , for 4.0, 5.25, and 6.75 eV.…”

Electron and positron elastic scattering by non‐central potentials: Matrix elements and symmetry properties in the first Born approximation

“…Structure System (GAMESS) [69]. The Gaussian basis sets employed in the calculation were tested [63] in order to provide good quality electronic structure results. It is expected, due to the numerical nature of the problem, that the results to the electronic amplitude present small variations if…”

“…Since the focus of this paper is the evaluation of the matrix elements involving CGF, the scattering model will be briefly described in order to exclusively bring the necessary information to understand the scope of this work. The physical background of the proposed model and results are addressed in a dedicated paper [63].…”

“…In order to provide benchmark values to the homonuclear systems O 2 , N 2 , and H 2 , the nuclear and electronic amplitudes are given in the Appendix. The Gaussian basis sets used are given in Barp and Arretche [63] along with a detailed comparison with other results.…”

“…Since the focus of this work is the evaluation of the matrix elements related to the electronic part of the scattering amplitude, no mention was made to the nuclear counterpart, but a complete discussion about it can be found in a previous work [63]. Briefly, such amplitude for homonuclear diatomic molecules has a simple form and is given by…”