Lifetimes of Rydberg States in Ions of the Group II Elements¹

I. L. Glukhov, E. A. Nikitina, and V. D. Ovsiannikov

Voronezh State University, Voronezh, 394006 Russia

e-mail: GlukhovOfficial@mail.ru, lis211290@mail.ru, ovd@phys.vsu.ru

Received October 26, 2012

Abstract—Total probabilities A_nl of spontaneous radiative transitions, which determine lifetimes of
nS-, nP-, nD- and nF-states in singly charged ions of the group IIa (Be⁺, Mg⁺, Ca⁺, Sr⁺, Ba⁺) and IIb (Zn⁺, Cd⁺,
Hg⁺) elements, were calculated in the single-electron Fues’ model potential (FMP) method. An asymptotic
dependence is determined for highly excited states with small angular momentums and presented in the form
and numerical values of the factors and coefficients of the cubic polynomial are
calculated, which approximate results of numerical computations with relative error below 2% in the range of
states with principal quantum numbers from n = 7 to . The comparison of the numerical results with
data in literature is presented, and applicability and reliability of single-electron model calculations are dis-
cussed in detail for positive singly charged ions of the group II elements.

DOI: 10.1134/S0030400X13070060

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