Relativistic many-body calculations of atomic properties in Pd-like ions

Wavelengths, transition rates, and line strengths are calculated for the 85 possible multipole transitions between the excited 4p(6) 4d(9) 4f, 4p(6) 4d(9) 5l, 4p(5) 4d(10) 4f, and 4p(5) 4d(10) 5l states and the ground 4p(6) 4d(10) state in Pd-like ions with the nuclear charges ranging from Z = 47 to 100. Relativistic many-body perturbation theory (RMBPT), including the Breit interaction, is used to evaluate energies and transition rates for multipole transitions in hole-particle systems. This method is based on the relativistic many-body perturbation theory, agrees with MCDF calculations in lowest order, includes all second-order correlation corrections, and includes corrections from negative energy states. The calculations start from a [Zn]4p(6)4d(10) Dirac-Fock potential. First-order perturbation theory is used to obtain intermediate-coupling coefficients, and second-order RMBPT is used to determine the matrix elements. The contributions from negative-energy states are included in the second-order multipole matrix elements. The resulting transition energies and transition rates are compared with experimental values and with results from other recent calculations. Trends of the transitions rates for the selected multipole transitions as function of Z are illustrated graphically. The Z dependence of the energy splitting for all triplet terms of the 4p(6)4d(9) 4f and 4p(6)4d(9) 5l configurations are shown for Z = 47-100.