Magic wavelengths of the Sr ($5s^2{}^1{S}_0$--$5s5p{}^3{P}_1$) intercombination transition near the $5s5p{}^3{P}_1$--$5p^2{}^3{P}_2$ transition

Abstract

Predicting magic wavelengths accurately requires precise knowledge of electric-dipole matrix elements of nearby atomic transitions. As a result, measurements of magic wavelengths allow us to test theoretical predictions for the matrix elements that frequently can not be probed by any other methods. Here, we calculate and measure a magic wavelength near $473$ nm of the $5s^2{}^1{S}_0-5s5p{}^3{P}_1$ intercombination transition of ${}^{88}$Sr. Experimentally, we find $473.361(4)$ nm for $\hat{I}”m=0$ ($\ddot{I}€$ transition) and $473.133(14)$ nm for $\hat{I}”m=-1$ ($\ddot{I}{ƒ}^{-}$ transition). Theoretical calculations yield $473.375(22)$~nm and $473.145(20)$ nm, respectively. The ${}^3{P}_1$ polarizability is dominated by the contributions to the $5p^2{}^{3}P$ levels and excellent agreement of theory and experiment validates both theoretical values of these matrix elements and estimates of their uncertainties.