Precision measurement of the ionization energy and quantum defects of 39K. Peper, M., Helmrich, F., Butscher, J., Agner, J. A., Schmutz, H., Merkt, F., & Deiglmayr, J. Physical Review A, 100(1):012501, July, 2019. Paper doi abstract bibtex We present absolute-frequency measurements in ultracold 39K samples of the transitions from the 4s1/2 ground state to np1/2 and np3/2 Rydberg states. A global nonlinear regression of the np1/2 and np3/2 term values yields an improved wave number of 35009.8139710(22)sys(3)statcm−1 for the first ionization threshold of 39K and the quantum defects of the np1/2 and np3/2 series. In addition, we report the frequencies of selected one-photon transitions n′s1/2←np3/2, n′dj←np3/2, n′fj′←ndj, and n′gj′←nfj and two-photon transitions nfj′←npj determined by millimeter-wave spectroscopy, where j is the total angular-momentum quantum number. By combining the results from the laser and millimeter-wave spectroscopic experiments, we obtain improved values for the quantum defects of the s1/2, d3/2, d5/2, fj, and gj states. For the dj series, the inverted fine structure was confirmed for n≥32. The fine-structure splitting of the f series is less than 100 kHz at n=31, significantly smaller than the hydrogenic splitting, and the fine structure of the g series is regular for n≥30, with a fine-structure splitting compatible with the hydrogenic prediction. From the measured quantum defects of the f and g series we derive an estimate for the static dipole αd and quadrupole αq polarizabilities of the K+ ion core. Additionally, the hyperfine splitting of the 4s1/2 ground state of 39K was determined to be 461.719700(5) MHz using radio-frequency spectroscopy and Ramsey-type interferometry.
@article{peper_precision_2019,
title = {Precision measurement of the ionization energy and quantum defects of {39K}},
volume = {100},
url = {https://link.aps.org/doi/10.1103/PhysRevA.100.012501},
doi = {10.1103/PhysRevA.100.012501},
abstract = {We present absolute-frequency measurements in ultracold 39K samples of the transitions from the 4s1/2 ground state to np1/2 and np3/2 Rydberg states. A global nonlinear regression of the np1/2 and np3/2 term values yields an improved wave number of 35009.8139710(22)sys(3)statcm−1 for the first ionization threshold of 39K and the quantum defects of the np1/2 and np3/2 series. In addition, we report the frequencies of selected one-photon transitions n′s1/2←np3/2, n′dj←np3/2, n′fj′←ndj, and n′gj′←nfj and two-photon transitions nfj′←npj determined by millimeter-wave spectroscopy, where j is the total angular-momentum quantum number. By combining the results from the laser and millimeter-wave spectroscopic experiments, we obtain improved values for the quantum defects of the s1/2, d3/2, d5/2, fj, and gj states. For the dj series, the inverted fine structure was confirmed for n≥32. The fine-structure splitting of the f series is less than 100 kHz at n=31, significantly smaller than the hydrogenic splitting, and the fine structure of the g series is regular for n≥30, with a fine-structure splitting compatible with the hydrogenic prediction. From the measured quantum defects of the f and g series we derive an estimate for the static dipole αd and quadrupole αq polarizabilities of the K+ ion core. Additionally, the hyperfine splitting of the 4s1/2 ground state of 39K was determined to be 461.719700(5) MHz using radio-frequency spectroscopy and Ramsey-type interferometry.},
number = {1},
urldate = {2019-07-05},
journal = {Physical Review A},
author = {Peper, Michael and Helmrich, Felix and Butscher, Jonas and Agner, Josef Anton and Schmutz, Hansjürg and Merkt, Frédéric and Deiglmayr, Johannes},
month = jul,
year = {2019},
keywords = {Precision Measurements, Ultracold Rydberg gases},
pages = {012501},
}
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In addition, we report the frequencies of selected one-photon transitions n′s1/2←np3/2, n′dj←np3/2, n′fj′←ndj, and n′gj′←nfj and two-photon transitions nfj′←npj determined by millimeter-wave spectroscopy, where j is the total angular-momentum quantum number. By combining the results from the laser and millimeter-wave spectroscopic experiments, we obtain improved values for the quantum defects of the s1/2, d3/2, d5/2, fj, and gj states. For the dj series, the inverted fine structure was confirmed for n≥32. The fine-structure splitting of the f series is less than 100 kHz at n=31, significantly smaller than the hydrogenic splitting, and the fine structure of the g series is regular for n≥30, with a fine-structure splitting compatible with the hydrogenic prediction. From the measured quantum defects of the f and g series we derive an estimate for the static dipole αd and quadrupole αq polarizabilities of the K+ ion core. 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