https://doi.org/10.1140/epjd/s10053-025-00994-z
Regular Article - Atomic and Molecular Collisions
Semi-empirical prediction of bound and virtual states in low-energy positron and electron scattering by atoms and molecules
Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudziadzka 5/7, 87-100, Toruń, Poland
Received:
13
November
2024
Accepted:
30
March
2025
Published online:
3
May
2025
We propose to combine a modified effective range theory with the Bayesian statistical inference to determine energies of bound and virtual states in low-energy charged particle scattering by atoms and molecules. This is done by the S-matrix continuation into the complex momentum plane thanks to the analytical solutions of Schrodinger equation for a long range polarization potential (
). The contribution of the short-range interaction is estimated semi-empirically by the model comparison with some reference scattering data. The method is applied to positron scattering by large hydrocarbon molecules (
, 
, 
, 
and 
) and electron collision with heavy noble gases (Xe, Rn, and Og). In particular, we show independently that the recent calculations for positrons are consistent with experimental binding energies. The energy of the electron-oganesson bound state is also estimated for the first time.
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Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
