Lithium electric dipole polarizability

Abstract

The electric dipole polarizability of the lithium atom in the ground state is calculated including relativistic and quantum electrodynamics corrections. The obtained result α E = 164.0740(5) a.u. is in good agreement with the less accurate experimental value of 164.19(1.08) a.u. The small uncertainty of about 3 parts per 10 6 comes from the approximate treatment of quantum electrodynamics corrections. Our theoretical result can be considered as a benchmark for more general atomic structure methods and may serve as a reference value for the relative measurement of polarizabilities of the other alkali-metal atoms.

Dynamic Stark shift of the7Li(2s→3s) transition

“…The locations of the photon energies used in the Li(2s − 3s) experiment [3] are marked. 7 Li which included relativistic corrections by applying perturbation theory to the Breit-Pauli Hamiltonian gave 164.1125(5) a 3 0 [21,22]. The alternate calculation validates our calculation of the 2s polarizability [4].…”

“…There have been many calculations of the static and dynamic polarizabilities of the ground and excited state of the Li atom [4,6,9,15,[21][22][23][24]. The present results are based on the Hylleraas and configuration interaction plus core-polarization (CICP) calculations described in Refs.…”

Magic wavelengths for optical cooling and trapping of lithium

“…We have calculated a total of 474 matrix elements for this work. [12] 164.11(3) Hylleraas [13,14] 164.1125(5) CCSD(T) [16] 164.23 Expt. [24] 164.2 (11) 2p 1/2 Present 126.97(5) CCSD(T) [16] 127.15 2p 3/2 Present 126.98(5) 1.610(26) CCSD(T) [16] 127.09 1.597 2p…”

“…Correlated basis calculations are possible for lithium since it only has three electrons. Consequently it has been possible to calculate Li polarizabilities to very high precision [11][12][13]15]. The most accurate calculation of polarizability of lithium ground state α 0 (2s) = 164.1125(5) a.u.…”

“…We refer the reader to the recent review [10] for extensive comparison of various results for Li polarizabilities. Here, we provide comparison of our results with the most recent calculations carried out using Hylleraas basis functions [11][12][13][14][15] since this approach is expected to produce the most accurate recommended values. Comparison with the recent coupled-cluster calculation of [16] and configuration interaction calculations with core polarization (CICP) [15] is also included.…”