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arXiv:2205.11886

Analyzing the photoassociation spectra of ultracold $^{85}$Rb$^{133}$Cs molecule in $(3)^3Σ^+$ state

Ziwei Wang, Ziang Li, Xu-hui Bai, Ting Gong, Zhong-hua Ji, Yanting Zhao, Gao-ren Wang

Published May 24, 2022• 0 citations
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Abstract

We establish a theoretical model to analyze the photoassociative (PA) spectroscopy of $(3)^3Σ^+$ state of $^{85}$Rb$^{133}$Cs molecule. The term energy, spin-spin coupling constants and hyperfine interaction constant of nine vibrational levels in the $(3)^3Σ^+$ state are determined. Based on the fitted term energy and rotation constant, the potential energy curve of $(3)^3Σ^+$ state is obtained by using the RKR method which is compared with the ab initial potential curve.

DOI
10.48550/arxiv.2205.11886

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Analyzing the photoassociation spectra of ultracold 85^{85}85Rb133^{133}133Cs molecule in (3)3Σ+(3)^3Σ^+(3)3Σ+ state
We establish a theoretical model to analyze the photoassociative (PA) spectroscopy of (3)3Σ+(3)^3Σ^+(3)3Σ+ state of 85^{85}85Rb133^{133}133Cs molecule. The term energy, spin-spin coupling constants and hyperfine interaction constant of nine vibrational levels in the (3)3Σ+(3)^3Σ^+(3)3Σ+ state are determined. Based on the fitted term energy and rotation constant, the potential energy curve of (3)3Σ+(3)^3Σ^+(3)3Σ+ state is obtained by using the RKR method which is compared with the ab initial potential curve.
We establish a theoretical model to analyze the photoassociative spectroscopy of 85Rb 133Cs molecules in the (3)3Σ+ state. The vibrational energy, spin-spin coupling constant, and hyperfine interaction constant of the (3)3Σ+ state are determined based on nine observed vibrational levels. Consequently, the Rydberg-Klein-Rees potential energy curve of the (3)3Σ+ state is obtained and compared with the ab initial potential energy curve. Our model can be adopted to analyze the photoassociative spectroscopy of other heteronuclear alkali-metal diatomic molecules in the (3)3Σ+ state.
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We spectroscopically investigate the hyperfine, rotational, and Zeeman structure of the vibrational levels ${v}^{\ensuremath{'}}=0,7,13$ within the electronically excited $c{\phantom{\rule{0.222222em}{0ex}}}^{3}{\mathrm{\ensuremath{\Sigma}}}_{g}{}^{+}$ state of 87Rb2^{87}\mathrm{Rb}_{2}87Rb2​ for magnetic fields of up to 1000G1000\phantom{\rule{0.28em}{0ex}}\text{G}1000G. 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 $a{\phantom{\rule{0.222222em}{0ex}}}^{3}\mathrm{\ensuremath{\Sigma}}{}_{u}^{+}$ potential. As a by-product, we present optical two-photon transfer of weakly bound Feshbach molecules into $a{\phantom{\rule{0.222222em}{0ex}}}^{3}\mathrm{\ensuremath{\Sigma}}{}_{u}^{+}$, v=0v=0v=0 levels featuring different nuclear spin quantum numbers. A simple model reproduces well the molecular level structures of the $c{\phantom{\rule{0.222222em}{0ex}}}^{3}{\mathrm{\ensuremath{\Sigma}}}_{g}{}^{+}$ 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 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 $\ifmmode\pm\else\textpm\fi{}9\phantom{\rule{0.28em}{0ex}}\mathrm{MHz}$, similar as for the simple model. From these fits we obtain a section of the potential energy curve for the $c{\phantom{\rule{0.222222em}{0ex}}}^{3}{\mathrm{\ensuremath{\Sigma}}}_{g}{}^{+}$ state which can be used for predicting the level structure for the vibrational manifold ${v}^{\ensuremath{'}}=0$ to 13 of this electronic state.
High resolution photoassociation spectroscopy of the excited c3Σ1+c^3Σ_{1}^+c3Σ1+​ potential of 23^{23}23Na133^{133}133Cs
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