Vacuum polarization in molecules I: Uehling interaction
- URL: http://arxiv.org/abs/2405.11262v2
- Date: Wed, 7 Aug 2024 06:15:14 GMT
- Title: Vacuum polarization in molecules I: Uehling interaction
- Authors: D. J. Flynn, I. P. Grant, H. M. Quiney,
- Abstract summary: Radiative corrections to electronic structure are characterized by perturbative expansions in $alpha$ and $Zalpha$.
A formulation of the leading-order $alpha(Zalpha)$ Uehling contribution to the renormalized vacuum polarization is reported.
- Score: 0.1560553867698778
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Radiative corrections to electronic structure are characterized by perturbative expansions in $\alpha$ and $Z\alpha$, where $\alpha$ is the fine-structure constant and $Z$ is the nuclear charge. A formulation of the leading-order $\alpha(Z\alpha)$ Uehling contribution to the renormalized vacuum polarization is reported in a form that is convenient for implementation in computational studies of the relativistic electronic structures of molecules. Benchmark calculations based on these methods are reported that include the leading-order vacuum polarization effects within relativistic mean-field methods for the E119$^+$ ion and the closed-shell diatomic species E119F.
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