$^{13}$C and $^{19}$F Nucleus-Electron Correlation and Self-Energies
Abstract
We present a theoretical and numerical study of the correlation between electrons and the fermionic C and F nuclei. We use the random-phase approximation (RPA) as a valuable tool in obtaining these correlation energies. A special connection between the RPA and second-order perturbation theory for the inter-fermionic interaction is outlined. Subsequently, Green's function based self-energies are evaluated for the nuclear densities. The strong influence of self-interaction errors is outlined, and vertex corrections are shown to be strictly necessary to obtain reasonable results. The theoretical and technical requirements for a quantum mechanical treatment of C and F nuclei are also addressed in this work, thereby facilitating further research in this area.
Keywords
Cite
@article{arxiv.2604.24946,
title = {$^{13}$C and $^{19}$F Nucleus-Electron Correlation and Self-Energies},
author = {Janina Vohdin and Christof Holzer},
journal= {arXiv preprint arXiv:2604.24946},
year = {2026}
}