Tune-out and magic wavelengths, and electric quadrupole transition properties of the singly charged alkaline-earth metal ions

TL;DR

This paper calculates tune-out and magic wavelengths, and electric quadrupole transition properties of alkaline-earth metal ions, providing data crucial for high-precision atomic physics experiments and astrophysical observations.

Contribution

It presents new calculations of tune-out and magic wavelengths and evaluates electric quadrupole matrix elements using an all-order relativistic method, expanding transition property data for these ions.

Findings

Calculated tune-out and magic wavelengths for Mg+, Ca+, Sr+, Ba+

Evaluated electric quadrupole (E2) matrix elements for forbidden transitions

Provided comprehensive transition data for high-precision experiments

Abstract

In continuation to our earlier reported data on the electric dipole (E1) matrix elements and lifetimes of the metastable states of the alkaline earth ions in [Atomic Data and Nuc. Data Tables {\bf 137} (2021) 101381], we present here the tune-out and magic wavelengths of the Mg$^+$, Ca$^+$, Sr$^+$ and Ba$^+$ alkaline earth-metal ions by determining dynamic E1 polarizabilities. Furthermore, we have evaluated the electric quadrupole (E2) matrix elements of a large number of forbidden transitions using an all-order relativistic many-body method and compare them with the previously reported values for a few selective transitions. Compilation of both the E1 and E2 transition matrix elements, will now provide a more complete knowledge about the transition properties of the considered singly charged alkaline earth-metal ions. Similarly, the listed precise values of tune-out and magic wavelengths due to the dominant E1 polarizabilities can be helpful to conduct experiments using the above ions with reduced systematics. Therefore, all these data will be immensely useful for various applications for carrying out the high-precision experiments and laboratory simulations in atomic physics, and interpreting transition lines in the astrophysical observations.