Global analysis of data on the spin-orbit-coupled $A$ ${}^{1}{\ensuremath{\Sigma}}_{u}^{+}$ and $b$ ${}^{3}{\ensuremath{\Pi}}_{u}$ states of Cs${}_{2}$

Global analysis of data on the spin-orbit-coupled $A$ $^{1} Σ_{u}^{+}$ and $b$ $^{3} Π_{u}$ states of Cs $_{2}$

Jianmei Bai, E. H. Ahmed, B. Beser, Y. Guan, S. Kotochigova, A. M. Lyyra, S. Ashman, C. M. Wolfe, J. Huennekens, Feng Xie, Dan Li, Li Li, M. Tamanis, R. Ferber, A. Drozdova, E. Pazyuk, A. V. Stolyarov, J. G. Danzl, H.-C. Nägerl, N. Bouloufa, O. Dulieu, C. Amiot, H. Salami, and T. Bergeman

Phys. Rev. A 83, 032514 – Published 28 March 2011

Abstract

We present experimentally derived potential curves and spin-orbit interaction functions for the strongly perturbed $A^{1} Σ_{u}^{+}$ and $b^{3} Π_{u}$ states of the cesium dimer. The results are based on data from several sources. Laser-induced fluorescence Fourier transform spectroscopy (LIF FTS) was used some time ago in the Laboratoire Aimé Cotton primarily to study the $X^{1} Σ_{g}^{+}$ state. More recent work at Tsinghua University provides information from moderate resolution spectroscopy on the lowest levels of the $b^{3} Π_{0 u}^{\pm}$ state as well as additional high-resolution data. From Innsbruck University, we have precision data obtained with cold Cs $_{2}$ molecules. Recent data from Temple University was obtained using the optical-optical double resonance polarization spectroscopy technique, and finally, a group at the University of Latvia has added additional LIF FTS data. In the Hamiltonian matrix, we have used analytic potentials (the expanded Morse oscillator form) with both finite-difference (FD) coupled-channel and discrete variable representation (DVR) calculations of the term values. Fitted diagonal and off-diagonal spin-orbit functions are obtained and compared with ab initio results from Temple and Moscow State universities.

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Received 23 December 2010

DOI:https://doi.org/10.1103/PhysRevA.83.032514

Authors & Affiliations

Jianmei Bai, E. H. Ahmed, B. Beser, Y. Guan, S. Kotochigova, and A. M. Lyyra

Physics Department, Temple University, Philadelphia, Pennsylvania 19122, USA

S. Ashman^*, C. M. Wolfe^†, and J. Huennekens

Department of Physics, Lehigh University, Bethlehem, Pennsylvania 18015, USA

Feng Xie, Dan Li^‡, and Li Li

Department of Physics and Key Lab of Atomic and Molecular Nanoscience, Tsinghua University, Beijing 100084, China

M. Tamanis and R. Ferber

Laser Center, Department of Physics, University of Latvia, 19 Rains Blvd., Riga LV-1586, Latvia

A. Drozdova, E. Pazyuk, and A. V. Stolyarov^§

Department of Chemistry, Moscow State University, GSP-2 Leninskie gory 1/3, Moscow RU-119992, Russia

J. G. Danzl and H.-C. Nägerl

Institut für Experimentalphysik und Zentrum für Quantenphysik, Universität Innsbruck, Technikerstrasse 25, A-6020 Innsbruck, Austria

N. Bouloufa, O. Dulieu, and C. Amiot^∥

Laboratoire Aimé Cotton, CNRS, Université Paris-Sud, Bât. 505, F-91405 Orsay Cedex, France

H. Salami^¶ and T. Bergeman

Department of Physics and Astronomy, SUNY, Stony Brook, New York 11794-3800, USA

^*Present address: Department of Physics and Astronomy, University of Wisconsin – Stevens Point, Stevens Point, WI 54481.
^†Present address: Army Research Laboratory, RDRL-WMP-A, Aberdeen Proving Ground, MD 21005-5066.
^‡Present address: State Key Laboratory of Precision Spectroscopy and Department of Physics, East China Normal University, Shanghai 200062.
^§avstol@phys.chem.msu.ru
^∥Retired from LAC.
^¶Present address: Department of Physics, Faculty of Sciences (V), Lebanese University, Nabatieh, Lebanon.

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Vol. 83, Iss. 3 — March 2011

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Physical Review A

covering atomic, molecular, and optical physics and quantum information

Global analysis of data on the spin-orbit-coupled $A$ $^{1} Σ_{u}^{+}$ and $b$ $^{3} Π_{u}$ states of Cs $_{2}$

Jianmei Bai, E. H. Ahmed, B. Beser, Y. Guan, S. Kotochigova, A. M. Lyyra, S. Ashman, C. M. Wolfe, J. Huennekens, Feng Xie, Dan Li, Li Li, M. Tamanis, R. Ferber, A. Drozdova, E. Pazyuk, A. V. Stolyarov, J. G. Danzl, H.-C. Nägerl, N. Bouloufa, O. Dulieu, C. Amiot, H. Salami, and T. Bergeman

Phys. Rev. A 83, 032514 – Published 28 March 2011

Abstract

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Physical Review A

covering atomic, molecular, and optical physics and quantum information

Global analysis of data on the spin-orbit-coupled A 1Σu+ and b 3Πu states of Cs2

Jianmei Bai, E. H. Ahmed, B. Beser, Y. Guan, S. Kotochigova, A. M. Lyyra, S. Ashman, C. M. Wolfe, J. Huennekens, Feng Xie, Dan Li, Li Li, M. Tamanis, R. Ferber, A. Drozdova, E. Pazyuk, A. V. Stolyarov, J. G. Danzl, H.-C. Nägerl, N. Bouloufa, O. Dulieu, C. Amiot, H. Salami, and T. Bergeman

Phys. Rev. A 83, 032514 – Published 28 March 2011

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Global analysis of data on the spin-orbit-coupled $A$ $^{1} Σ_{u}^{+}$ and $b$ $^{3} Π_{u}$ states of Cs $_{2}$