6533b7d5fe1ef96bd1265184

RESEARCH PRODUCT

FitAik: a package to calculate least-square fitted atomic transitions probabilities. Application to the Er+ lanthanide ion

Maxence LepersOlivier DulieuJean-françois Wyart

subject

Quantum PhysicsAtomic Physics (physics.atom-ph)[PHYS.PHYS.PHYS-GEN-PH] Physics [physics]/Physics [physics]/General Physics [physics.gen-ph]FOS: Physical sciencesQuantum Physics (quant-ph)[PHYS.QPHY] Physics [physics]/Quantum Physics [quant-ph]Physics - Atomic Physics

description

We present a new method implemented in our new package \textit{FitAik}, to perform least-squares fitting of calculated and experimental atomic transition probabilities, by using the mono-electronic transition integrals $\langle n\ell |r| n'\ell' \rangle$ (with $r$ the electronic radial coordinate) as adjustable quantities. \textit{FitAik} is interfaced to the Cowan suite of codes, for which it automatically writes input files and reads output files. We illustrate our procedure with the example of Er$^{+}$ ion, for which the agreement between calculated and experimental Einstein coefficients is found to be very good. The source code of \emph{FitAik} can be found on GitLab, and the calculated Einstein coefficients are stored in our new database CaDDiACs. They are also used to calculate the dynamic dipole polarizability of Er$^+$.

http://arxiv.org/abs/2207.14001