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arXiv:0807.4397

High-Precision Measurement of the Laser-Trapping Frequencies for $^{209,210,211}$Fr Atoms

Sanguinetti, S., R. Calabrese, L. Corradi, A. Dainelli, Alen Khanbekyan, E. Mariotti, C. de Mauro, P. Minguzzi, L. Moi, G. Stancari, L. Tomassetti, Stefano Veronesi

Published Jul 28, 2008• 4 citations
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Abstract

We present the accurate measurement of the frequency of the $7S-7P$ laser-trapping transition for three francium isotopes. Our approach is based on an interferometric comparison to deduce the unknown laser frequency from a secondary laser frequency-standard. After careful investigation of systematics, with samples of about 100 atoms the final accuracy reaches 8 MHz, an order of magnitude better than the best previous measurement for $^{210}$Fr, and opens the way to improved tests of the theoretical computation of Fr atomic structure.

DOI
10.48550/arxiv.0807.4397

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High-Precision Measurement of the Laser-Trapping Frequencies for 209,210,211^{209,210,211}209,210,211Fr Atoms
We present the accurate measurement of the frequency of the 7S−7P7S-7P7S−7P laser-trapping transition for three francium isotopes. Our approach is based on an interferometric comparison to deduce the unknown laser frequency from a secondary laser frequency-standard. After careful investigation of systematics, with samples of about 100 atoms the final accuracy reaches 8 MHz, an order of magnitude better than the best previous measurement for 210^{210}210Fr, and opens the way to improved tests of the theoretical computation of Fr atomic structure.
We investigated for the first time the high-lying Rydberg levels in the rare radioactive element francium (Fr). The investigations were conducted by the highly sensitive laser resonance atomic photoionization technique with Fr atoms produced at a rate of about 103{10}^{3}103 atoms/s in a hot cavity. We measured the wave numbers of the 7p2{p}^{2}p2P3/2{P}_{3/2}P3/2​\ensuremath{\rightarrow}nd2{\mathrm{nd}}^{2}nd2D (n=22--33) and 7p2{p}^{2}p2P3/2{P}_{3/2}P3/2​\ensuremath{\rightarrow}ns2{\mathrm{ns}}^{2}ns2S (n=23, 25--27,29--31) transitions and found the binding energy of the 7p2{p}^{2}p2P3/2{P}_{3/2}P3/2​ state to be T=-18 924.8(3) ${\mathrm{cm}}^{\mathrm{\ensuremath{-}}1}$, which made it possible to establish accurately the ionization potential of Fr.
Francium is the least studied of the alkali atoms because it has no stable isotopes. We have performed precision spectroscopy on cold Fr atoms in a magneto optical trap. We have determined the location of the first two excited states of the S series by two-photon spectroscopy. We have measured the lifetimes of the 7p levels with a precision better than 0.5%. Our measurements test the many-body perturbation theory ab initio calculations of the dipole matrix element to very high accuracy in this relativistic alkali.
We present lifetime measurements of the 7p2P3/2{7p}^{2}{P}_{3/2}7p2P3/2​ and 7p2P1/2{7p}^{2}{P}_{1/2}7p2P1/2​ levels of Fr. We use a time-correlated single-photon counting technique on a cold sample of 210Fr{}^{210}\mathrm{Fr}210Fr atoms in a magneto-optic trap. We excite the atoms with the trapping and repumping beams of the magneto-optic trap and detect the decay of the atomic fluorescence. The results are a precision experimental test of the atomic many-body perturbation theory applied to the heaviest alkali metal. The lifetime results are 21.02(11) ns and 29.45(11) ns for the 7p2P3/2{7p}^{2}{P}_{3/2}7p2P3/2​ and 7p2P1/2{7p}^{2}{P}_{1/2}7p2P1/2​ levels, respectively. This gives a line strength ratio S1/2{\mathcal{S}}_{1/2}S1/2​/S3/2{\mathcal{S}}_{3/2}S3/2​ of 0.526(3) for these levels in Fr. To study sources of systematic errors we measure the lifetimes of 5p2P3/2{5p}^{2}{P}_{3/2}5p2P3/2​ and 5p2P1/2{5p}^{2}{P}_{1/2}5p2P1/2​ in stable 87Rb{}^{87}\mathrm{Rb}87Rb and obtain 26.20(9) ns and 27.64(4) ns, respectively.
We demonstrate a technique for frequency measurements of atomic transitions with a precision of 30 kHz. The frequency is measured with a ring-cavity resonator whose length is calibrated against a reference laser locked to the D2 line of 87Rb, the frequency of which is known with 10-kHz accuracy. We have used this method to measure the hyperfine structure in the 5P(3/2) state of 85Rb. We obtain precise values for the hyperfine constants, A = 25.041(6) MHz and B = 26.013(25) MHz, and a value of 77.992(20) MHz for the isotope shift in the D2 line.
We present the first measurement of an atomic radiative lifetime in Fr. We use a time-correlated single photon counting technique with a cold sample of 210Fr{}^{210}\mathrm{Fr}210Fr atoms in a magneto-optic trap. The results are a precision experimental test of the atomic many-body perturbation theory applied to the heaviest alkali. The lifetime for the 7p2P3/27p{}^{2}{P}_{3/2}7p2P3/2​ level of 21.02(16)21.02(16)21.02(16) ns gives a value for the reduced transition matrix element between the levels $7s{}^{2}{S}_{1/2}\ensuremath{\rightarrow}7p{}^{2}{P}_{3/2}$ of $5.898(22){a}_{\ensuremath{\infty}}$ atomic units.