Physical Review A

Energy-level shift of 5snsS13 Rydberg states of Sr87

R. Beigang, Andre Timmermann

Published Nov 1, 1982• 12 citations

Abstract

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.

DOI: 10.1103/physreva.26.2990

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

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Physical Review A

Energy-level shift of 5snsS13 Rydberg states of Sr87

R. Beigang, Andre Timmermann

Published Nov 1, 1982• 12 citations

Publisher

Abstract

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.

DOI: 10.1103/physreva.26.2990

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.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 LettersAug 3, 198152 citations

High-Resolution Three-Photon Spectroscopy of 6s15pP11,3 Rydberg States of Yb

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High-resolution three-photon laser spectroscopy has been performed for the first time to gain new spectroscopic information. Starting from the $6{s}^{2}^{1}S_{0}$ ground state of Yb, $6s15p^{1,3}P_{1}$ Rydberg states were populated by two-photon-resonant, three-photon absorption via the $6s7s^{1}S_{0}$ intermediate level. As a result of two-photon line narrowing Doppler-free spectra, showing well resolved isotope shifts and hyperfine structures, were obtained. From the hyperfine coupling constants $^{171,173}A(^{1}P_{1})$ the singlet-triplet mixing was derived.High-resolution three-photon laser spectroscopy has been performed for the first time to gain new spectroscopic information. Starting from the $6{s}^{2}^{1}S_{0}$ ground state of Yb, $6s15p^{1,3}P_{1}$ Rydberg states were populated by two-photon-resonant, three-photon absorption via the $6s7s^{1}S_{0}$ intermediate level. As a result of two-photon line narrowing Doppler-free spectra, showing well resolved isotope shifts and hyperfine structures, were obtained. From the hyperfine coupling constants $^{171,173}A(^{1}P_{1})$ the singlet-triplet mixing was derived.

Physical Review LettersOct 10, 198316 citations

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High-resolution two-photon spectroscopy was applied to investigate the msns $^{1}S_{0}$ Rydberg states of the alkaline-earth elements Ca, Sr, and Ba. It is shown for $^{43}\mathrm{Ca}$ , $^{87}\mathrm{Sr}$ , $^{135}\mathrm{Ba}$ , and $^{137}\mathrm{Ba}$ that the hyperfine interaction causes a level shift between odd- and even-mass isotopes. A theoretical interpretation is presented which relates the energy-level shift for odd isotopes to the singlet-triplet separation which in turn is a function of the principal quantum number, and good agreement with the experimental results is found.High-resolution two-photon spectroscopy was applied to investigate the msns $^{1}S_{0}$ Rydberg states of the alkaline-earth elements Ca, Sr, and Ba. It is shown for $^{43}\mathrm{Ca}$, $^{87}\mathrm{Sr}$, $^{135}\mathrm{Ba}$, and $^{137}\mathrm{Ba}$ that the hyperfine interaction causes a level shift between odd- and even-mass isotopes. A theoretical interpretation is presented which relates the energy-level shift for odd isotopes to the singlet-triplet separation which in turn is a function of the principal quantum number, and good agreement with the experimental results is found.

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R. Beigang, D. Schmidt, Andre Timmermann

High-resolution two-photon resonant three-photon spectroscopy was applied to investigate the 3 $\mathrm{snf}$ Rydberg series of Mg. Hyperfine-induced level shifts were detected for the $^{1,3}F$ states of the odd isotope $^{25}\mathrm{Mg}$ . From these measurements the hyperfine coupling constant ${a}_{3s}$ of the $^{25}\mathrm{Mg}^{+}$ -ion ground state was derived.High-resolution two-photon resonant three-photon spectroscopy was applied to investigate the 3 $\mathrm{snf}$ Rydberg series of Mg. Hyperfine-induced level shifts were detected for the $^{1,3}F$ states of the odd isotope $^{25}\mathrm{Mg}$. From these measurements the hyperfine coupling constant ${a}_{3s}$ of the $^{25}\mathrm{Mg}^{+}$-ion ground state was derived.

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Singlet-triplet mixing in 4snd Rydberg states of Ca

R. Beigang, K. Lücke, Andre Timmermann

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.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.

Physical Review AJan 1, 198321 citations

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.

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.

High-resolution three-photon laser spectroscopy has been performed for the first time to gain new spectroscopic information. Starting from the $6{s}^{2}^{1}S_{0}$ ground state of Yb,

6s15p^{1,3}P_{1}

Rydberg states were populated by two-photon-resonant, three-photon absorption via the

6s7s^{1}S_{0}

intermediate level. As a result of two-photon line narrowing Doppler-free spectra, showing well resolved isotope shifts and hyperfine structures, were obtained. From the hyperfine coupling constants

^{171,173}A(^{1}P_{1})

the singlet-triplet mixing was derived.

High-resolution two-photon spectroscopy was applied to investigate the msns

^{1}S_{0}

Rydberg states of the alkaline-earth elements Ca, Sr, and Ba. It is shown for

^{43}\mathrm{Ca}

^{87}\mathrm{Sr}

^{135}\mathrm{Ba}

, and

^{137}\mathrm{Ba}

that the hyperfine interaction causes a level shift between odd- and even-mass isotopes. A theoretical interpretation is presented which relates the energy-level shift for odd isotopes to the singlet-triplet separation which in turn is a function of the principal quantum number, and good agreement with the experimental results is found.

The hyperfine structure of high Rydberg states of

^{87}\mathrm{Sr}

was studied for principal quantum numbers

80<~n<~150

. The hyperfine interaction causes a strong singlet-triplet mixing between levels with the same total angular momenta

F

but different quantum numbers

n

. Semiempirical calculations show excellent agreement with experiment.

High-resolution two-photon resonant three-photon spectroscopy was applied to investigate the 3

\mathrm{snf}

Rydberg series of Mg. Hyperfine-induced level shifts were detected for the

^{1,3}F

states of the odd isotope

^{25}\mathrm{Mg}

. From these measurements the hyperfine coupling constant

{a}_{3s}

of the

^{25}\mathrm{Mg}^{+}

-ion ground state was derived.

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.