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Physical Review A

Hyperfine quenching of the metastable ^3P~0~,~2 states in divalent atoms (6 pages)

Andrei Derevianko, S. G. Porsev

Published Jan 1, 2004• 2 citations
OpenAlex

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Hyperfine quenching rates of the lowest-energy metastable $^{3}P_{0}$ and $^{3}P_{2}$ states of Mg, Ca, Sr, and Yb atoms are computed. The calculations are carried out using ab initio relativistic many-body methods. The computed lifetimes may be useful for designing novel ultraprecise optical clocks and trapping experiments with the $^{3}P_{2}$ fermionic isotopes. The resulting natural widths of the $^{3}P_{0}\ensuremath{-}^{1}S_{0}$ clock transition are $0.44\phantom{\rule{0.3em}{0ex}}\text{mHz}$ for $^{25}\mathrm{Mg}$, $2.2\phantom{\rule{0.3em}{0ex}}\text{mHz}$ for $^{43}\mathrm{Ca}$, $7.6\phantom{\rule{0.3em}{0ex}}\text{mHz}$ for $^{87}\mathrm{Sr}$, $43.5\phantom{\rule{0.3em}{0ex}}\text{mHz}$ for $^{171}\mathrm{Yb}$, and $38.5\phantom{\rule{0.3em}{0ex}}\text{mHz}$ for $^{173}\mathrm{Yb}$. Compared to the bosonic isotopes, the lifetime of the $^{3}P_{2}$ states in fermionic isotopes is noticeably shortened by the hyperfine quenching but still remains long enough for trapping experiments.

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Hyperfine quenching rates of the lowest-energy metastable 3P0^{3}P_{0}3P0​ and 3P2^{3}P_{2}3P2​ states of Mg, Ca, Sr, and Yb atoms are computed. The calculations are carried out using ab initio relativistic many-body methods. The computed lifetimes may be useful for designing novel ultraprecise optical clocks and trapping experiments with the 3P2^{3}P_{2}3P2​ fermionic isotopes. The resulting natural widths of the $^{3}P_{0}\ensuremath{-}^{1}S_{0}$ clock transition are 0.44mHz0.44\phantom{\rule{0.3em}{0ex}}\text{mHz}0.44mHz for 25Mg^{25}\mathrm{Mg}25Mg, 2.2mHz2.2\phantom{\rule{0.3em}{0ex}}\text{mHz}2.2mHz for 43Ca^{43}\mathrm{Ca}43Ca, 7.6mHz7.6\phantom{\rule{0.3em}{0ex}}\text{mHz}7.6mHz for 87Sr^{87}\mathrm{Sr}87Sr, 43.5mHz43.5\phantom{\rule{0.3em}{0ex}}\text{mHz}43.5mHz for 171Yb^{171}\mathrm{Yb}171Yb, and 38.5mHz38.5\phantom{\rule{0.3em}{0ex}}\text{mHz}38.5mHz for 173Yb^{173}\mathrm{Yb}173Yb. Compared to the bosonic isotopes, the lifetime of the 3P2^{3}P_{2}3P2​ states in fermionic isotopes is noticeably shortened by the hyperfine quenching but still remains long enough for trapping experiments.
A beam source of atomic hydrogen is described which produces metastable atoms in the 2S1/2 state by optical pumping. A beam flux of 1016 atoms/s is generated in the ground state. The atoms in the beam pass in front of a lamp producing Lyman-β (1026 Å) radiation, where some of them are excited to the 3P level and cascade with a branching ratio of 12% to the 2S1/2 state. The number of metastable atoms produced is measured by quenching them with an electric field and detecting the emitted Lyman-α (1216 Å) radiation. Beams of 106 metastable atoms/s were obtained. Using the Bethe-Lamb theory for the quenching process, a metastable beam effective temperature of 100 K was measured.