Critically evaluated theoretical energies, lifetimes, hyperfine constants, and multipole polarizabilities in ${}^{87}\mathrm{Rb}$

Systematic study of Rb atomic properties is carried out using a high-precision relativistic all-order method. Excitation energies of the $\mathit{ns}$, $\mathit{np}$, $\mathit{nd}$, and $\mathit{nf}$ ($n⩽10$) states in neutral rubidium are evaluated. Reduced matrix elements, oscillator strengths, transition rates, and lifetimes are determined for the levels up to $n=8$. Recommended values and estimates of their uncertainties are provided for a large number of electric-dipole transitions. Electric-dipole ($5s-\mathit{np}$, $n=5-26$), electric-quadrupole ($5s-{\mathit{nd}}_j$, $n=4-26$), and electric-octupole ($5s-{\mathit{nf}}_j$, $n=4-26$) matrix elements are calculated to obtain the ground state $E1$, $E2$, and $E3$ static polarizabilities. Scalar polarizabilities of the $\mathit{ns}$, $\mathit{np}$, and $\mathit{nd}$ states, and tensor polarizabilities of the ${\mathit{np}}_{3/2}$ and $\mathit{nd}$ excited states of Rb are evaluated. The hyperfine $A$ and $B$ values in ${}^{87}\mathrm{Rb}$ are determined for the first low-lying levels up to $n=9$. These calculations provide recommended values critically evaluated for their accuracy for a number of Rb atomic properties useful for a variety of applications.

Figure 1

Hyperfine constant $A^{(\mathrm{SD})}(\mathit{nlj})$ as a function of $n$.