Theoretical investigation on Stark-induced transition probabilities of hydrogen-like ions

Abstract

Based on the nondegenerate perturbation theory, the Stark-induced transitions are studied for hydrogen-like isoelectronic sequences (<i>Z</i> = 1–92). The Stark-induced mixing coefficients and transition probabilities between the 2s<sub>1/2</sub>-1s<sub>1/2</sub> levels of hydrogen-like ions are reported. The trend of Stark-induced transition probabilities varying with atomic number <i><i>Z</i></i> between 2s<sub>1/2</sub>-1s<sub>1/2</sub> levels of hydrogen-like ions and the relativistic effect on the Stark-induced mixing coefficients and transition probabilities are discussed. The scaling relations of the nonrelativistic and relativistic Stark-induced transition probabilities with atomic number <i>Z</i> are obtained. The results show that the Stark-induced transition probabilities of hydrogen-like ions decrease monotonically along the isoelectronic sequence with the increase of atomic number <i>Z</i>. In addition, the relativistic effect reduces the Stark-induced transition probabilities of hydrogen-like ions, for example, by about 55% at <i>Z</i> = 92.