Re-measurement of the transition frequencies, fine structure splitting and isotope shift of the resonance lines of lithium, sodium and potassium

Scherf, Werner; Khait, Oleg; Jäger, Helmut; Windholz, Laurentius

doi:10.1007/bf01437417

Cited by 37 publications

(16 citation statements)

References 13 publications

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“…Despite four recent experiments, large discrepancies persist [5][6][7][8][9][10]. Drake and his coworkers emphasize the isotopic difference in the 2p 2 P fine-structure interval, the splitting isotope shift (SIS), as a consistency check for experiment [11].…”

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confidence: 99%

Absolute Transition Frequencies and Quantum Interference in a Frequency Comb Based Measurement of theLi6,7DLines

et al. 2011

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Optical frequencies of the D lines of (6,7)Li were measured with a relative accuracy of 5 × 10⁻¹¹ using an optical comb synthesizer. Quantum interference in the laser induced fluorescence for the partially resolved D2 lines was found to produce polarization dependent shifts as large as 1 MHz. Our results resolve large discrepancies among previous experiments and between all experiments and theory. The fine-structure splittings for ⁶Li and ⁷Li are 10052.837(22) MHz and 10053.435(21) MHz. The splitting isotope shift is 0.599(30) MHz, in reasonable agreement with recent theoretical calculations.

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confidence: 99%

Absolute Transition Frequencies and Quantum Interference in a Frequency Comb Based Measurement of theLi6,7DLines

et al. 2011

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“…From this not exhaustive chronological list [29,31,[34][35][36][37][38], it is clear that Radziemski et al's results lie a bit outside the experimental distribution. 2 } multireference set to the full orbital set.…”

Section: Neutral Lithium In the Mcdhf Approachmentioning

confidence: 91%

Tensorial form and matrix elements of the relativistic nuclear recoil operator

Gaidamauskas¹,

Nazé²,

Rynkun³

et al. 2011

J. Phys. B: At. Mol. Opt. Phys.

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Within the lowest-order relativistic approximation (∼v 2 /c 2 ) and to first order in m e /M, the tensorial form of the relativistic corrections of the nuclear recoil Hamiltonian is derived, opening interesting perspectives for calculating isotope shifts in the multiconfiguration Dirac-Hartree-Fock framework. Their calculation is illustrated for selected Li-, B-and C-like ions. This work underlines the fact that the relativistic corrections to the nuclear recoil are definitively necessary for obtaining reliable isotope shift values.

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“…It is interesting to compare this with the relativistic all orders many-body perturbation theory result of Blundell [13] 0.333 3 Blundell et al [14] 0.341 5(11) Experiment Brog et al [3] 0.335 340 (7) Orth et al [4] 0.335 338 1(19) Scherf et al [5] 0.335 345 (7) et al [14]. There, the difference between theory and experiment of 0.0062͑11͒ cm 21 comes mainly from the incomplete treatment of correlation corrections to the lowest order Breit interaction, rather than from QED effects not included in their calculation.…”

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confidence: 84%

“…The precision they achieved is 6 ppm. Very recently, Scherf et al [5] remeasured the 1s 2 2p 2 P J fine structure using the laser-atomic beam spectroscopy method. The precision they obtained is 20 ppm.…”

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confidence: 99%

Lithium Fine Structure in the1s22p2P<

Yan

Drake

1997

Phys. Rev. Lett.

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The first fully correlated calculations of fine structure in lithium are presented. For the 1s 2 2p 2 states the fine structure is calculated to a computational accuracy of 1 part in 10 6 , including relativistic and QED terms up to O͑a 4 mc 2 ͒, O͑ ͑ ͑͑m͞M͒a 4 mc 2 ͒ ͒ ͒, O͑a 5 mc 2 ͒, and O͑ ͑ ͑͑m͞M͒a 5 mc 2 ͒ ͒ ͒. A comparison is made with other calculations and experiments. A residual discrepancy between theory and experiment of ͑65 6 2͒ 3 10 26 cm 21 is found due to higher-order QED terms. [S0031-9007(97)03922-7] PACS numbers: 31.15. Pf, 31.30.Jv, 32.10.Fn Atomic fine structure is a fundamental testing ground for relativistic and QED effects. For helium, theoretical calculations for the fine structure splittings in 1s 2p 3 P J states have recently been performed up to O͑a 7 ln a͒ mc 2 [1,2]. With future progress in both theory and experiment, comparisons with high precision measurements will potentially yield an atomic physics determination of the fine structure constant a. For lithium, using the level crossing technique, Brog et al.[3] measured the fine structure splitting in 1s 2 2p 2 P J states with an accuracy of 20 ppm (parts per million). The most precise measurement reported in the literature for this splitting was done by Orth et al. [4], using the optical double resonance method. The precision they achieved is 6 ppm. Very recently, Scherf et al.[5] remeasured the 1s 2 2p 2 P J fine structure using the laser-atomic beam spectroscopy method. The precision they obtained is 20 ppm. All these measurements are in excellent agreement. On the theoretical side, there has been a long-standing problem in precise calculations for the lithium 1s 2 2p 2 P J fine structure, including the lowest-order relativistic terms a 4 mc 2 (or a 2 in atomic units) and ͑m͞M͒ a 4 mc 2 , where m is the electron reduced mass and M is the nuclear mass, and the lowestorder QED terms a 5 mc 2 and ͑m͞M͒ a 5 mc 2 . However, recent advances [6-10] in high-precision variational calculations for the lithium atom, using multiple basis sets in Hylleraas coordinates, now make it possible to perform a well-converged calculation for the 1s 2 2p 2 P J fine structure splitting. The purpose of this Letter is to report the first significant theoretical progress in fully correlated calculations for lithium fine structure studies. The key advance is the development of techniques for handling the more highly singular integrals required to calculate matrix elements of the Breit interaction in Hylleraas coordinates.The spin-dependent fine structure splitting can be written in the form [11,12] (in atomic units throughout)where C is a nonrelativistic wave function and H fs is defined by

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Re-measurement of the transition frequencies, fine structure splitting and isotope shift of the resonance lines of lithium, sodium and potassium

Cited by 37 publications

References 13 publications

Absolute Transition Frequencies and Quantum Interference in a Frequency Comb Based Measurement of theLi6,7DLines

Absolute Transition Frequencies and Quantum Interference in a Frequency Comb Based Measurement of theLi6,7DLines

Tensorial form and matrix elements of the relativistic nuclear recoil operator

Lithium Fine Structure in the1s22p2P<

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