Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical Review A

Singlet-triplet mixing in 4snd Rydberg states of Ca

R. Beigang, K. Lücke, Andre Timmermann

Published Jan 1, 1983• 21 citations
Publisher

Abstract

Singlet-triplet mixing of $4snd ^{1}D_{2}$ and $^{3}D_{2}$ states of Ca was determined between principal quantum numbers $7<~n<~42$ with the use of Doppler-free two-photon spectroscopy. The hyperfine structure of the $4snd ^{1}D_{2}$ states was used to probe admixtures of triplet character into the singlet wave functions. It turned out that, in the region of series crossings, an enlarged singlet-triplet mixing was observed.

DOI
10.1103/physreva.27.587

Related papers

Influence of Singlet-Triplet Mixing on the Hyperfine Structure of 5snd Rydberg States in Sr87

R. Beigang, Eckart Matthias, Andre Timmermann

A systematic study of the hyperfine structure of $5snd$ $^{1}D_{2}$ and $^{3}D_{2}$ states of $^{87}\mathrm{Sr}$ was carried out by Doppler-free two-photon excitation. In the region of strong singlet-triplet mixing around $n=16$, the hyperfine structure exhibits a marked $n$ dependence which is related to the amount of singlet-triplet mixing.

Physical Review Letters•Aug 3, 1981•52 citations

Resonance ionization spectroscopy of high-lying 4sns and 4snd Rydberg levels of odd calcium isotopes

Yoshihiro Iwata, Masabumi Miyabe, Katsuaki Akaoka +2 more

Calcium Rydberg levels are of significant interest for efficient and isotope-selective resonance ionization of trace radionuclides such as calcium-41 ( 41 Ca). In this study, we report novel, to our knowledge, measurement data on the energy level shifts of 43 Ca for 4sns 1 S 0 and 4s(n−1)d 1 D 2 (n=40, 45, 50, 55, 60) Rydberg levels due to hyperfine-induced singlet–triplet mixing specific to isotopes with an odd mass number. Both 3 S 1 and 3 D J triplet signals corresponding to forbidden transitions were enhanced for 43 Ca at the high principal quantum numbers n=55 and 60, indicating a mixing of singlet components to some extent.

Journal of the Optical Society of America B•Nov 22, 2023•5 citations

Hyperfine structure and three-channel quantum-defect theory of 6sndD21 Rydberg states of Ba

Herbert H. Rinneberg, Jörg Neukammer

The hyperfine structure of $6snd^{1}D_{2}$ Rydberg states of $^{135,137}\mathrm{Ba}$ is reported for principal quantum numbers ranging between $n=10$ and $n=50$. From our data, singlet-triplet mixing coefficients have been deduced. A three-channel quantum-defect model has been used to analyze the resonance in singlet-triplet mixing of $6snd^{1}D_{2} \mathrm{and} ^{3}D_{2}$ Rydberg states in the vicinity of the $5d7d^{1}D_{2}$ perturber. For the determination of the scattering matrix, hyperfine-structure data were found to be essential. Good agreement has been achieved between calculated and experimental singlet-triplet mixing coefficients.

Physical Review A•Apr 1, 1983•37 citations

Configuration interaction and singlet-triplet mixing probed by hyperfine structure of 6s14d1D2and3D1,2,3barium Rydberg states

Jörg Neukammer, Herbert H. Rinneberg

The hyperfine structure of the 6s14d configuration of barium has been measured by optical-optical double resonance. From the observed positions for the hyperfine components of the 1 D 2 and 3 D 1,2,3 Rydberg states, the singlet and triplet character as well as the amount of admixture of the 5d7d perturbing configuration was deduced. Although agreeing qualitatively, the authors' results differ quantitatively from predictions made by multichannel quantum defect theory (MQDT).

Journal of Physics B Atomic and Molecular Physics•Nov 14, 1982•13 citations

Energy-level shift of 5snsS13 Rydberg states of Sr87

R. Beigang, Andre Timmermann

Doppler-free two-photon spectroscopy was applied to excite hyperfine-induced transitions from the $5{s}^{2}^{1}S_{0}$ ground state to the $F=I$ component of the hyperfine multiplet of the $5sns^{3}S_{1}$ Rydberg series of $^{87}\mathrm{Sr}$ ($n=50,\dots{},85$). The experimental data confirm the interpretation of hyperfine-induced singlet-triplet mixing which is related to the singlet-triplet energy separation.

Physical Review A•Nov 1, 1982•12 citations

Precise Determination of Singlet-Triplet Mixing in 4snd Rydberg States of Calcium (With 1 Figure)

R. Beigang, Andre Timmermann

•Jan 1, 1983•0 citations
Singlet-triplet mixing of 4snd1D24snd ^{1}D_{2}4snd1D2​ and 3D2^{3}D_{2}3D2​ states of Ca was determined between principal quantum numbers 7< n< 427<~n<~427< n< 42 with the use of Doppler-free two-photon spectroscopy. The hyperfine structure of the 4snd1D24snd ^{1}D_{2}4snd1D2​ states was used to probe admixtures of triplet character into the singlet wave functions. It turned out that, in the region of series crossings, an enlarged singlet-triplet mixing was observed.
A systematic study of the hyperfine structure of 5snd5snd5snd 1D2^{1}D_{2}1D2​ and 3D2^{3}D_{2}3D2​ states of 87Sr^{87}\mathrm{Sr}87Sr was carried out by Doppler-free two-photon excitation. In the region of strong singlet-triplet mixing around n=16n=16n=16, the hyperfine structure exhibits a marked nnn dependence which is related to the amount of singlet-triplet mixing.
Calcium Rydberg levels are of significant interest for efficient and isotope-selective resonance ionization of trace radionuclides such as calcium-41 ( 41 Ca). In this study, we report novel, to our knowledge, measurement data on the energy level shifts of 43 Ca for 4sns 1 S 0 and 4s(n−1)d 1 D 2 (n=40, 45, 50, 55, 60) Rydberg levels due to hyperfine-induced singlet–triplet mixing specific to isotopes with an odd mass number. Both 3 S 1 and 3 D J triplet signals corresponding to forbidden transitions were enhanced for 43 Ca at the high principal quantum numbers n=55 and 60, indicating a mixing of singlet components to some extent.
The hyperfine structure of 6snd1D26snd^{1}D_{2}6snd1D2​ Rydberg states of 135,137Ba^{135,137}\mathrm{Ba}135,137Ba is reported for principal quantum numbers ranging between n=10n=10n=10 and n=50n=50n=50. From our data, singlet-triplet mixing coefficients have been deduced. A three-channel quantum-defect model has been used to analyze the resonance in singlet-triplet mixing of 6snd1D2and3D26snd^{1}D_{2} \mathrm{and} ^{3}D_{2}6snd1D2​and3D2​ Rydberg states in the vicinity of the 5d7d1D25d7d^{1}D_{2}5d7d1D2​ perturber. For the determination of the scattering matrix, hyperfine-structure data were found to be essential. Good agreement has been achieved between calculated and experimental singlet-triplet mixing coefficients.
Doppler-free two-photon spectroscopy was applied to excite hyperfine-induced transitions from the $5{s}^{2}^{1}S_{0}$ ground state to the F=IF=IF=I component of the hyperfine multiplet of the 5sns3S15sns^{3}S_{1}5sns3S1​ Rydberg series of 87Sr^{87}\mathrm{Sr}87Sr (n=50,…,85n=50,\dots{},85n=50,…,85). The experimental data confirm the interpretation of hyperfine-induced singlet-triplet mixing which is related to the singlet-triplet energy separation.