Dynamic polarizabilities and hyperfine-structure constants for Sc2+

In this work, we calculate dynamic polarizabilities and hyperfine-structure A and B constants of a few low-lying states for Sc2+. The sum-over-states technique is applied to calculate the polarizabilities of the 3d 2D3/2,3d 2D5/2, and 4s 2S1/2 states. The most important and correlation sensitive part of the sum is calculated using a highly correlated relativistic coupled-cluster theory. The remaining part of the sum is calculated using a lower-order many-body perturbation theory and the Dirac-Fock theory. Present dynamic polarizabilities are important to investigate the Stark shifts in the 4s 2S1/2-3d 2D5/2 and 4s 2S1/2-3d 2D3/2 clock transitions of Sc2+. Magic wavelengths for zero Stark shifts corresponding to these transitions are found in the vacuum-ultraviolet region. The coupled-cluster theory is used to estimate the hyperfine A and B constants with a very high accuracy.