Third-order relativistic many-body calculations of energies and lifetimes of levels along the silver isoelectronic sequence

Energies of ${5l}_j(l=s,p,d,f,g)$ and ${4f}_j$ states in neutral Ag and Ag-like ions with nuclear charges $Z=48\mathrm{}–100$ are calculated using relativistic many-body perturbation theory. Reduced matrix elements, oscillator strengths, transition rates, and lifetimes are calculated for the 17 possible ${5l}_j-{5l}_{j^{\prime }}^{\prime }$ and ${4f}_j-{5l}_{j^{\prime }}$ electric-dipole transitions. Third-order corrections to energies and dipole matrix elements are included for neutral Ag and for ions with $Z<~60.$ Second-order corrections are included for $Z>\mathrm{}60.\mathrm{}$ Comparisons are made with available experimental data for transition energies and lifetimes. Correlation energies and transition rates are shown graphically as functions of nuclear charge Z for selected cases. These calculations provide a theoretical benchmark for comparison with experiment and theory.