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The autoionization of core-excited Rydberg states is theoretically studied for a broad range of principal and angular-momentum quantum numbers n and l in alkaline-earth-metal atoms. We combined two theoretical methods to calculate accurate autoionization rates for n = 10 − 65 and l = 0 − 45 over the 100 orders of magnitude that they span. The strong interaction between the two valence electrons for low l states is treated from first principles with configuration interaction with exterior complex scaling, while at large l the weak correlation is described by a perturbative approach and arbitrary-precision floating-point arithmetics. The results, which we benchmark against available experimental data, provide autoionization rates for the N p1/2,3/2 and, when applicable, (N − 1)d3/2,5/2 ion-core states of Mg, Ca, and Sr (N = 3 − 5). Using the extensive set of calculated data, we analyze the dependence of the rates on l and identify five general laws of the autoionization of high-l states. An empirical formula describing the scaling of the rates with l is suggested.
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Marín Bujedo, E., & Génévriez, M. (2023). Autoionization of high-l core-excited Rydberg states of alkaline-earth-metal atoms. Physical Review A, 108(012816-1), 012816-012815. https://doi.org/10.1103/physreva.108.012816 (Original work published 2023)