Relativistic many-body calculation of energies, multipole transition rates, and lifetimes of tungsten ions

Atomic properties of Cd-like W$^{26+}$, In-like W$^{25+}$, and Sn-like W$^{24+}$ ions are evaluated using a relativistic CI+all-order approach that combines configuration interaction and the coupled-cluster methods. The energies, transition rates, and lifetimes of low-lying levels are calculated and compared with available theoretical and experimental values. The magnetic-dipole transition rates are calculated to determine the branching ratios and lifetimes for the $4f^3$ states in W$^{25+}$ and for the $4f^4$ in W$^{24+}$ ions. We also evaluated the atomic properties of these ions using the Hebrew University Lawrence Livermore Atomic (HULLAC) code and demonstrated higher accuracy of the wavelength values obtained using the CI+all-order approach.