Dynamic polarizabilities and Rydberg states of the sodium isoelectronic sequence

The frequency-dependent dipole polarizabilities ${\alpha }_d$(ω) of the sodium isoelectronic sequence (Z=11,...,18) have been calculated within linear-response theory using the time-dependent coupled Hartree-Fock scheme. The excitation energies for the transitions 3 ${\mathrm{}}^2$S→n ${\mathrm{}}^2$P (n=3,...,7) have been estimated from the position of the poles of a frequency-dependent functional, and analytic representations of the excited Rydberg p-state wave functions have been obtained. The extrapolated polarizability values ${\alpha }_d$(ω${)}_{\omega \to 0}$ are compared with the available static data. The transition energies compared well with spectroscopic data. The oscillator strengths have been estimated in length form and the quantum defect values have been calculated using complete screening. They all compare favorably with data currently available.