A many-body perturbation calculation of 4fN-4fN−15d electric dipole moments for lanthanide ions

It has been shown previously that, by using many-body perturbation theory, the electric dipole moment for transitions between exact energy eigenstates dominated by 4fN and 4fN−15d configurations can be calculated with an effective electric dipole operator composed of one- and two-body interactions. Especially, the one-body part of this effective operator is proportional to the original electric dipole moment, but with a reduced radial integral 〈5d|r|4f〉eff = (1 − δ)〈5d|r|4f〉. We obtain the values of parameters charactering the effective operator for all the lanthanide trivalent and divalent ions via a pseudorelativistic Hartree-Fock calculation. The trend of these parameters is analyzed. The impact of the values obtained on the reinterpretation of literature emission lifetimes is given.