Relativistic many-body calculations of energy levels, hyperfine constants, electric-dipole matrix elements, and static polarizabilities for alkali-metal atoms

Removal energies and hyperfine constants of the lowest four $ns,$ ${\mathrm{np}}_{1/2},$ and ${\mathrm{np}}_{3/2}$ states in Na, K, Rb, and Cs are calculated; removal energies of the $n=7\mathrm{}–10$ states and hyperfine constants of the $n=7\mathrm{}$ and 8 states in Fr are also calculated. The calculations are based on the relativistic single-double (SD) approximation in which single and double excitations of Dirac-Hartree-Fock wave functions are included to all orders in perturbation theory. Using SD wave functions, accurate values of removal energies, electric-dipole matrix elements, and static polarizabilities are obtained; however, SD wave functions give poor values of the magnetic-dipole hyperfine constants for heavy atoms. To obtain accurate values of the hyperfine constants for heavy atoms, we include triple excitations partially in the wave functions. The present calculations provide the basis for reevaluating parity nonconserving amplitudes in Cs and Fr.