Hyperfine and vibrational structure of weakly bound levels of the lowest<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mn>1</mml:mn><mml:mi>g</mml:mi></mml:msub></mml:math>state of molecular<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mrow /><mml:mn>87</mml:mn></mml:msup></mml:math>Rb<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow /><mml:mn>2</mml:mn></mml:msub></mml:math>

Tsai, Chin‐Chun; Bergeman, T.; Tiesinga, Eite; Julienne, Paul S.; Heinzen, D. J.

doi:10.1103/physreva.88.052509

Cited by 4 publications

(12 citation statements)

References 40 publications

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“…The state 1 Σ + g was studied by Amiot and Verges [29,30], 1 Π g by Amiot [29,31] and 3 Π g by Bellos et al [9]. Data for 3 Σ + g are known from our present work for deeply bound levels and from the work of Tsai et al [20] for weakly bound levels. The latter ones were not incorporated in the present analysis, because the energy gap between our data and the data of Ref.…”

Section: Coupled-channel Calculationsmentioning

confidence: 66%

“…In this article, we experimentally investigate the hyperfine structure of the vibrational levels v = 0, 7, 13 of the c 3 Σ + g state of 87 Rb 2 , extending our previous work on deeply bound levels [19]. This is complemented by recent work of Tsai et al [20] who investigated the hyperfine structure of the weakly bound levels of c 3 Σ + g , 1 g . One important result is a partial change of our previous assignment of the spectra of measured transition lines towards c 3 Σ + g , resolving an inconsistency that was already mentioned in [19] in connection with their Fig.…”

Section: Introductionmentioning

confidence: 63%

“…Furthermore, we find that the observed hyperfine splitting can be quite well described by using an atomic hyperfine interaction of the s-electron when reducing it by 15.5%. A decrease by about 7% of the hyperfine parameter is reported in [20] for data on weakly bound levels of state 1 g correlated to c 3 Σ + g . The difference between deeply and weakly bound levels could be related to the variation of spin density by the chemical bond.…”

Section: Discussionmentioning

confidence: 87%

“…The latter ones were not incorporated in the present analysis, because the energy gap between our data and the data of Ref. [20] is too large. A potential construction would then contain much ambiguity, as was also noted in [20].…”

Section: Coupled-channel Calculationsmentioning

confidence: 95%

“…The energy reference is the 5s + 5p dissociation asymptote. Parameters with * are set for continuous extrapolation of the potential and those with * * are taken from [20,35]. X. Parameters of the analytic representation of the potential curve of state 1 Π g .…”

Section: B Potential Curvesmentioning

confidence: 99%

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Level structure of deeply bound levels of the c3Σg+ state of Rb2

et al. 2017

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We spectroscopically investigate the hyperfine, rotational and Zeeman structure of the vibrational levels v = 0, 7, 13 within the electronically excited c 3 Σ + g state of 87 Rb 2 for magnetic fields of up to 1000 G. As spectroscopic methods we use short-range photoassociation of ultracold Rb atoms as well as photoexcitation of ultracold molecules which have been previously prepared in several well-defined quantum states of the a 3 Σ + u potential. As a byproduct, we present optical two-photon transfer of weakly bound Feshbach molecules into a 3 Σ + u , v = 0 levels featuring different nuclear spin quantum numbers. A simple model reproduces well the molecular level structures of the c 3 Σ + g vibrational states and provides a consistent assignment of the measured resonance lines. Furthermore, the model can be used to predict the relative transition strengths of the lines. From fits to the data we extract for each vibrational level the rotational constant, the effective spin-spin interaction constant, as well as the Fermi contact parameter and (for the first time) the anisotropic hyperfine constant. In an alternative approach, we perform coupled-channel calculations where we fit the relevant potential energy curves, spin-orbit interactions and hyperfine functions. The calculations reproduce the measured hyperfine level term frequencies with an average uncertainty of ±9 MHz, similar as for the simple model. From these fits we obtain a section of the potential energy curve for the c 3 Σ + g state which can be used for predicting the level structure for the vibrational manifold v = 0 to 13 of this electronic state.

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Section: Coupled-channel Calculationsmentioning

confidence: 66%

Section: Introductionmentioning

confidence: 63%

Section: Discussionmentioning

confidence: 87%

Section: Coupled-channel Calculationsmentioning

confidence: 95%

Section: B Potential Curvesmentioning

confidence: 99%

See 3 more Smart Citations

Level structure of deeply bound levels of the c3Σg+ state of Rb2

et al. 2017

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Mixing of ${0}^{+}$ and ${0}^{-}$ observed in the hyperfine and Zeeman structure of ultracold ${\mathrm{Rb}}_{2}$ molecules

et al. 2015

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We study the combination of the hyperfine and Zeeman structure in the spin-orbit coupled A b u u 1 3 Σ Π − + complex of Rb 87 2 . For this purpose, absorption spectroscopy at a magnetic field around B 1000= G is carried out. We drive optical dipole transitions from the lowest rotational state of an ultracold Feshbach molecule to various vibrational levels with 0 + symmetry of the A b − complex. In contrast to previous measurements with rotationally excited alkali-dimers, we do not observe equal spacings of the hyperfine levels. In addition, the spectra vary substantially for different vibrational quantum numbers, and exhibit large splittings of up to 160 MHz, unexpected for 0 + states. The level structure is explained to be a result of the repulsion between the states 0 + and 0 − of b u 3 Π , coupled via hyperfine and Zeeman interactions. In general, 0 − and 0 + have a spin-orbit induced energy spacing Δ, that is different for the individual vibrational states. From each measured spectrum we are able to extract Δ, which otherwise is not easily accessible in conventional spectroscopy schemes. We obtain values of Δ in the range of 100 ± GHz which can be described by coupled channel calculations if a spin-orbit coupling is introduced that is different for 0 − and 0 + of b u 3 Π .

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Photoassociation spectroscopy of weakly bound Rb287 molecules near the 5P1/2+5<

Nawaz

Chen

et al. 2020

Phys. Rev. A

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Hyperfine and vibrational structure of weakly bound levels of the lowest1gstate of molecular87Rb2

Cited by 4 publications

References 40 publications

Level structure of deeply bound levels of the c3Σg+ state of Rb2

Level structure of deeply bound levels of the c3Σg+ state of Rb2

Mixing of ${0}^{+}$ and ${0}^{-}$ observed in the hyperfine and Zeeman structure of ultracold ${\mathrm{Rb}}_{2}$ molecules

Photoassociation spectroscopy of weakly bound Rb287 molecules near the 5P1/2+5<

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