Journal of Physics B Atomic Molecular and Optical Physics

Photoassociation of85Rb atoms into 0u+states near the 5S+5P atomic limits

T. H. Bergeman, J Qi, Dajun Wang, Yanyan Huang, Hyewon Pechkis, Edward E. Eyler, P. L. Gould, William C. Stwalley, Robert A. Cline, Joseph D. Miller, Daniel J. Heinzen

Published Sep 25, 2006• 53 citations

Publisher

Abstract

New photoassociation data on the 0u+ levels of Rb2 below the 5S+5P1/2 limit are combined with older data (Cline et al 1994 Phys. Rev. Lett. 73 632) in a fit to potentials and spin–orbit functions. The P1/2 data exhibit oscillations in the B(v) values due to coupling between the two 0u+ series, as modelled accurately by a coupled potentials approach. The fitted value for the C3 dispersion parameter from the combined data agrees well with the value derived from the pure long-range 0g− state.

DOI: 10.1088/0953-4075/39/19/s01

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Journal of Physics B Atomic Molecular and Optical Physics

Photoassociation of85Rb atoms into 0u+states near the 5S+5P atomic limits

T. H. Bergeman, J Qi, Dajun Wang, Yanyan Huang, Hyewon Pechkis, Edward E. Eyler, P. L. Gould, William C. Stwalley, Robert A. Cline, Joseph D. Miller, Daniel J. Heinzen

Published Sep 25, 2006• 53 citations

Publisher

Abstract

DOI: 10.1088/0953-4075/39/19/s01

Related papers

Photoassociation spectroscopy of Rb287(5s1∕2+5p1∕2)0u+ long-range molecular states: Coupling with the (5s1∕2+5p3∕2)0u+ series analyzed using the Lu-Fano approach

Haikel Jelassi, B. Viaris de Lesegno, Laurence Pruvost

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Physical Review AJul 28, 200622 citations

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Viatcheslav Kokoouline, Olivier Dulieu, Ronnie Kosloff +1 more

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The Journal of Chemical PhysicsMay 22, 1999237 citations

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M. Marinescu, A. Dalgarno, Chin‐Chun Tsai +3 more

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Bulletin of the American Physical SocietyMay 1, 19960 citations

Reexamination of the 0g− pure long-range state of Cs2 : Prediction of missing levels in the photoassociation spectrum

Nadia Bouloufa-Maafa, A. Crubellier, Olivier Dulieu

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Physical Review AMay 7, 200745 citations

Photoassociation spectroscopy of {sup 87}Rb{sub 2} (5s{sub 1/2}+5p{sub 1/2})0{sub g}{sup -} long-range molecular states: Analysis by Lu-Fano graph and improved LeRoy-Bernstein formula

Haikel Jelassi, B. Viaris de Lesegno, Laurence Pruvost

Physical Review AMar 15, 20060 citations

Hyperfine and vibrational structure of weakly bound levels of the lowest 1g state of molecular 87 Rb 2

Chin‐Chun Tsai, T. H. Bergeman, Eite Tiesinga +2 more

Photoassociation resonances in the ${}^{87}$ Rb ${}_{2}$ ${1}_{g}$ state dissociating to $5{\phantom{\rule{0.16em}{0ex}}}^{2}S+5{}^{2}{P}_{1/2}$ were produced by the excitation of colliding ${}^{87}$ Rb atoms in a far-off resonance trap. Levels down to 31 cm${}^{\ensuremath{-}1}$ below the dissociation limit were measured with resonance linewidths of 15 to 20 MHz, and have been located to a one-sigma combined systematic and statistical uncertainty of 50 MHz relative to the $5{\phantom{\rule{0.16em}{0ex}}}^{2}S+5{}^{2}{P}_{1/2}$ limit. Electron and nuclear spins were fixed to a space-fixed axis by circularly polarized optical pumping, so that only states with total nuclear spin $I=3$ were excited, thereby greatly simplifying the spectrum. The analysis of the data yielded hyperfine coupling parameters $A(v)$ , vibrational $G(v)$ , and rotational $B(v)$ parameters. The $G(v)$ parameters could be fit to an rms accuracy of about 0.01 cm${}^{\ensuremath{-}1}$ to a potential constructed from current ${C}_{3}$ and ${C}_{6}$ long-range dispersion parameters plus an ab initio potential that was adjusted in depth and with quadratic terms in the internuclear distance added to the inner wall.Photoassociation resonances in the ${}^{87}$Rb${}_{2}$ ${1}_{g}$ state dissociating to $5{\phantom{\rule{0.16em}{0ex}}}^{2}S+5{}^{2}{P}_{1/2}$ were produced by the excitation of colliding ${}^{87}$Rb atoms in a far-off resonance trap. Levels down to 31 cm${}^{\ensuremath{-}1}$ below the dissociation limit were measured with resonance linewidths of 15 to 20 MHz, and have been located to a one-sigma combined systematic and statistical uncertainty of 50 MHz relative to the $5{\phantom{\rule{0.16em}{0ex}}}^{2}S+5{}^{2}{P}_{1/2}$ limit. Electron and nuclear spins were fixed to a space-fixed axis by circularly polarized optical pumping, so that only states with total nuclear spin $I=3$ were excited, thereby greatly simplifying the spectrum. The analysis of the data yielded hyperfine coupling parameters $A(v)$, vibrational $G(v)$, and rotational $B(v)$ parameters. The $G(v)$ parameters could be fit to an rms accuracy of about 0.01 cm${}^{\ensuremath{-}1}$ to a potential constructed from current ${C}_{3}$ and ${C}_{6}$ long-range dispersion parameters plus an ab initio potential that was adjusted in depth and with quadratic terms in the internuclear distance added to the inner wall.

Physical Review ANov 13, 20134 citations

We report on photoassociation of cold

^{87}\mathrm{Rb}

atoms providing the spectroscopy of

(5{s}_{1∕2}+5{p}_{1∕2}){0}_{u}^{+}

long-range molecular states, in the energy range of [$\ensuremath{-}12.5$, $\ensuremath{-}0.7\phantom{\rule{0.3em}{0ex}}{\mathrm{cm}}^{\ensuremath{-}1}$] below the dissociation limit. A Lu-Fano approach coupled to the LeRoy-Bernstein formula is used to analyze the data. The Lu-Fano graph exhibits the coupling of the molecular series with the

(5{s}_{1∕2}+5{p}_{3∕2}){0}_{u}^{+}

one, which is due to spin effects in the molecule. A two-channel model involving an improved LeRoy-Bernstein formula allows us to characterize the molecular series, to localize

(5{s}_{1∕2}+5{p}_{3∕2}){0}_{u}^{+}

levels, to evaluate the coupling, and to predict the energy and width of the first predissociated level of

(5{s}_{1∕2}+5{p}_{3∕2}){0}_{u}^{+}

series. An experimental spectrum confirms the prediction.

A reexamination of the photoassociation spectrum of the external well of the ${0}_{g}^{\ensuremath{-}}$ potential of

{\mathrm{Cs}}_{2}

converging to the

(6{s}_{1∕2}+6{p}_{3∕2})

limit is performed, in order to resolve inconsistencies arising from a previously published paper [Phys. Rev. Lett. 85, 1408 (2000)]. We use the same analytical description of the potential as in an other previous analysis [Phys. Rev. A 66, 052506 (2002)], but we make a shift of 2 in the assignment of the observed vibrational lines. The agreement between experimental and calculated energy positions is improved and the intensities calculated using the new potential account well for all available data. The fitting procedure reveals a strong interdependence of the parameters of the model, which limits the accuracy of the determination of the radiative lifetimes of the

6{p}^{2}{P}_{1∕2}

and

6{p}^{2}{P}_{3∕2}

atomic levels. Only a more precise experimental study could allow one to improve the determination of these lifetime values.

Photoassociation resonances in the

{}^{87}

{}_{2}

{1}_{g}

state dissociating to

5{\phantom{\rule{0.16em}{0ex}}}^{2}S+5{}^{2}{P}_{1/2}

were produced by the excitation of colliding

{}^{87}

Rb atoms in a far-off resonance trap. Levels down to 31 cm${}^{\ensuremath{-}1}$ below the dissociation limit were measured with resonance linewidths of 15 to 20 MHz, and have been located to a one-sigma combined systematic and statistical uncertainty of 50 MHz relative to the

5{\phantom{\rule{0.16em}{0ex}}}^{2}S+5{}^{2}{P}_{1/2}

limit. Electron and nuclear spins were fixed to a space-fixed axis by circularly polarized optical pumping, so that only states with total nuclear spin

I=3

were excited, thereby greatly simplifying the spectrum. The analysis of the data yielded hyperfine coupling parameters

A(v)

, vibrational

G(v)

, and rotational

B(v)

parameters. The

G(v)

parameters could be fit to an rms accuracy of about 0.01 cm${}^{\ensuremath{-}1}$ to a potential constructed from current

{C}_{3}

and

{C}_{6}

long-range dispersion parameters plus an ab initio potential that was adjusted in depth and with quadratic terms in the internuclear distance added to the inner wall.