Critically evaluated theoretical energies, lifetimes, hyperfine constants, and multipole polarizabilities inRb87

Abstract

Systematic study of Rb atomic properties is carried out using high-precision relativistic all-order method. Excitation energies of the ns, np, nd, and 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 − np, n = 5 − 26), electricquadrupole (5s − ndj, n = 4 − 26), and electric-octupole (5s − nfj , n = 4 − 26) matrix elements are calculated to obtain the ground state E1, E2, and E3 static polarizabilities. Scalar polarizabilities of the ns, np, and nd states, and tensor polarizabilities of the np 3/2 and nd excited states of Rb are evaluated. The hyperfine A-and B-values in 87 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.

Polarizabilities and tune-out wavelengths of the hyperfine ground states ofRb87,85

“…The differences of the present RCICP calculations and other available results [20,22,34,36,37] are not more than 0.6%. The dynamic dipole polarizabilities computed with the usual oscillator strength sum-rules can be written as…”

“…(5) is 2.5279 a.u., which is the average of the s, p and d cutoff parameters(note, the weighting of the s is doubled to give it the same weighting as the two p and d orbitals). The present RCICP calculations are compared with the relativistic many-body perturbation theory all-order method (RMBPT all-order) [22,23] and the relativistic coupled cluster single-double and the important valence triple excitation method(RCCSDT) calculations [24]. For the 5s − 5p J transitions, the differences among the present RCICP, RMBPT all-order, and RCCSDT theoretical results are not larger than 1%.…”

“…The hyperfine structure constants A and B are originated from other documents [22,38,43,45]. The energy shifts of the 5s 1/2 state are about one or two order of magnitude larger than those of the 5p J , 6p J excited states.…”

“…So far none of theoretical results are within the latest experimental error bar, but the RMBPT all-order result is the closest to this latest experimental ratio. [33] 317.62 6.4810 2.3783 CICP [34] 315.7 6.480 2.378 RCCSD [35] 316.17 RCCSD [36,37] 318.47/318.3(6) 6.491(18) MBPT-SD [38] 317.39 RMBPT all-order [22,39] 316.4/322(4) 6.525(37) 2.374 (16) RMBPT [20] 6.520(80) 2.37 Expt.E×H [40] 319(6.1) Expt. [41] 318.79(1.42) Expt.…”

Coupling Thermal Atomic Vapor to Slot Waveguides

“…where the dipole moments jd mk j and energy levels were extracted from coupled cluster computations [30] and experimental data [31]. Further, the permittivities ϵðωÞ of all involved materials need to be provided at real and imaginary frequencies.…”