Dynamic polarizabilities for the low lying states of Ca+

TL;DR

This paper calculates the dynamic polarizabilities of low-lying Ca+ states using a relativistic model and identifies magic wavelengths, aiding in atomic structure refinement and blackbody radiation shift evaluation.

Contribution

It introduces a relativistic calculation of Ca+ polarizabilities and determines magic wavelengths for experimental and theoretical applications.

Findings

Calculated wavelengths for zero Stark shifts between transitions.

Identified magic wavelengths for Ca+ states.

Provided data to improve atomic structure models.

Abstract

The dynamic polarizabilities of the 4s, 3d and 4p states of Ca$^+$, are calculated using a relativistic structure model. The wavelengths at which the Stark shifts between different pairs of transitions are zero are computed. Experimental determination of the magic wavelengths can be used to estimate the ratio of the $f_{3d_{J}\to 4p_{J'}}$ and $f_{4s_{1/2} \to 4p_{J'}}$ oscillator strengths. This could prove valuable in developing better atomic structure models and in particular lead to improved values of the polarizabilities needed in the evaluation of the blackbody radiation shift of the Ca$^+$ ion.