Dynamic dipole polarizabilities of the Li atom and the Be+ion

Abstract

The dynamic dipole polarizabilities for the Li atom and the Be + ion in the 2 2 S and 2 2 P states are calculated using the variational method with a Hylleraas basis. The present polarizabilities represent the definitive values in the non-relativistic limit. Corrections due to relativistic effects are also estimated. Analytic representations of the polarizabilities for frequency ranges encompassing the n = 3 excitations are presented. The recommended polarizabilities for 7 Li and 9 Be + were 164.11 ± 0.03 a 3 0 and 24.489 ± 0.004 a 3 0 .

Blackbody radiation shift of the B+clock transition

“…A comparison for the iso-electronic ion Be + can be used to estimate an uncertainty in the B 2+ 2s states dipole polarizability. A previous CICP calculation gave a dipole polarizability of 24.493 a 3 0 which is very close to the recommended value of 24.489(4) a 3 0 [55]. Assigning an uncertainty of 0.1% to the B 2+ ground state polarizability would seem to be justified.…”

“…The differences do not exceed 0.004 a 3 0 . The CI calculations are non-relativistic and are expected to be slightly larger than the actual polarizability [55]. A comparison for the iso-electronic ion Be + can be used to estimate an uncertainty in the B 2+ 2s states dipole polarizability.…”

Photoassociative production of ultracold heteronuclearYbLi*molecules

“…[30] in order to accurately reproduce the dynamic scalar and tensor polarizability of Li( 2 P ) computed in Ref. [31]. For Yb we have used 22 experimental transition frequencies and oscillator strengths starting from the 1 S ground state [32][33][34][35][36].…”

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

“…The ac Stark shifts in those experiments have been determined by varying the laser intensity and measuring the resulting change in the Li(2s → 3s) frequency. Unfortunately, while there have been a number of calculations of the Li(2s) ground-state static and dynamic polarizabilities [4][5][6][7][8][9][10][11][12], there have been no first principles calculations of the dynamic polarizabilities of the Li(3s) level that could be used to assess the reliability of the experimental determination of the Stark shift.…”

“…Earlier calculations of the Li(2s) dynamic dipole polarizabilities using the Hylleraas approach [4] are then used to help derive estimates of the Li(2s → 3s) Stark shift. In addition, estimates of the tune-out wavelength for the 7 Li(2s) state are computed.…”