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

Atomic properties of Cd-like ${\mathrm{W}}^{26+}$, In-like ${\mathrm{W}}^{25+}$, and Sn-like ${\mathrm{W}}^{24+}$ ions are evaluated by using a relativistic $\text{CI}+\text{all}$-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 ${\mathrm{W}}^{25+}$ and for the $4f^4$ states in ${\mathrm{W}}^{24+}$ ions. Excellent agreement of the $\text{CI}+\text{all}$-order values provided a benchmark test of this method for the $4f^n$ configurations validating the recommended values of tungsten ion properties calculated in this work.

Figure 1

Synthetic spectra of In-like ${\mathrm{W}}^{25+}$ ion based on the $M1$ transitions between the states of the $4f^3$ configuration. Results are obtained using $\text{CI}+\text{all}$-order code. The scale in the ordinate is in units of 1000 ${\mathrm{s}}^{-1}$.

Figure 2

Synthetic spectra of Sn like ${\mathrm{W}}^{24+}$ ion based on $M1$ transitions between the $4f^4$ states. Results are obtained busing $\text{CI}+\text{all}$-order code. The scale in the ordinate is in units of 1000 ${\mathrm{s}}^{-1}$.