Correction of parameters used for empirical formula describing the ionization rate in over-the-barrier regime

Abstract

Recently, an empirical formula used for describing the ionization rate of atom in the over-the-barrier regime induced by static electric field has been proposed [Q. Zhang et al., Phys. Rev. A 90, 043410(2014)] and is valid up to 4.5F_b where F_b is the barrier-suppression strength. However, by providing the accurately numerical calculation of ionization rate and compare to the formula of Zhang et al., we figure out that the provided associating parameters in their formula are inappropriate. Therefore, this paper gives the correction of these vital parameters based on the proposed formula.