AIP conference proceedings

(ns[sub 1∕2]+np[sub 1∕2])0[sub g]−]Rb[sub 2] and Cs[sub 2] photo-associative spectroscopy of weakly bound levels: Lu-Fano analysis coupled to an improved LeRoy-Bernstein formula.

Haikel Jelassi, B. Viaris de Lesegno, Laurence Pruvost, Mourad Telmini, N. Mliki, Ezeddine Sediki

Published Jan 1, 2007• 3 citations

Abstract

We report on the study of the (ns1/2+np1/2)0g−Rb2 and Cs2 weakly‐bound‐level photoassociative spectroscopy in a magneto‐optical trap. For the analysis, a Lu‐Fano graph is plotted for each set of data. We show that an improved LeRoy‐Bernstein formula must to be used. The data is then analysed by a classical procedure using the improved LeRoy‐Bernstein formula. The (ns1/2+np1/2)0g−Rb2 and Cs2 multipolar coefficients c6 are fitted. They are found to be in good agreement with previous results.

DOI: 10.1063/1.2795415

Related papers

Photoassociation spectroscopy of Rb287 (5s1∕2+5p1∕2)0g− 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 2, 200635 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

We report on cold atom photoassociation of {sup 87}Rb giving spectroscopy data of the (5s{sub 1/2}+5p{sub 1/2})0{sub g}{sup -} long-range molecular states in the asymptotic range of [-12.5 cm{sup -1}, -1.5 cm{sup -1}] below the dissociation limit. Using a Lu-Fano approach to analyze the data, we show that an improved LeRoy-Bernstein model has to be applied. This approach lets us determine the phase shift of the wave function at the dissociation limit of the 0{sub g}{sup -} series.

Physical Review AMar 15, 20060 citations

Reanalysis of the photoassociation spectrum of 133Cs2 （6P3/2） lg state

Jie Ma, 李玉清, Jie Ma +5 more

Reanalysis of the photoassociation spectrum of the weakly binding (6S 1/2 + 6P 3/2 ) 1 g 133 Cs 2 levels, reported in the previous study J. Mol. Spectro. 255 (2009) 106], is performed by using a Lu-Fano graph coupled to the improved LeRoy-Bernstein formula including two additional modified terms. A more accurate coefficient (c 3 ) is obtained for the leading long-range potential (-c 3 /R 3 ) of a diatomic molecule.

中国物理B：英文版Jan 1, 20130 citations

Reanalysis of the photoassociation spectrum of133Cs2(6P3/2) 1gstate

Jie Ma, Yuqing Li, Jizhou Wu +5 more

Reanalysis of the photoassociation spectrum of the weakly binding (6S1/2 + 6P3/2) 1g133Cs2 levels, reported in the previous study [J. Mol. Spectro. 255 (2009) 106], is performed by using a Lu—Fano graph coupled to the improved LeRoy—Bernstein formula including two additional modified terms. A more accurate coefficient (c3) is obtained for the leading long-range potential (−c3/R3) of a diatomic molecule.

Chinese Physics BAug 1, 20130 citations

Spin effects in (6s1∕2+6p1∕2)0u+ Cs2133 weakly bound molecules analyzed by using the Lu-Fano method coupled to the improved LeRoy-Bernstein formula

Haikel Jelassi, B. Viaris de Lesegno, Laurence Pruvost +2 more

Physical Review AAug 5, 200813 citations

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

Physical Review AJul 28, 200622 citations

AIP conference proceedings

(ns[sub 1∕2]+np[sub 1∕2])0[sub g]−]Rb[sub 2] and Cs[sub 2] photo-associative spectroscopy of weakly bound levels: Lu-Fano analysis coupled to an improved LeRoy-Bernstein formula.

Haikel Jelassi, B. Viaris de Lesegno, Laurence Pruvost, Mourad Telmini, N. Mliki, Ezeddine Sediki

Published Jan 1, 2007• 3 citations

Publisher

Abstract

DOI: 10.1063/1.2795415

Related papers

Photoassociation spectroscopy of Rb287 (5s1∕2+5p1∕2)0g− long-range molecular states: Analysis by Lu-Fano graph and improved LeRoy-Bernstein formula

Haikel Jelassi, B. Viaris de Lesegno, Laurence Pruvost

We report on cold atom photoassociation of $^{87}\mathrm{Rb}$ giving spectroscopy data of the $(5{s}_{1∕2}+5{p}_{1∕2}){0}_{g}^{\ensuremath{-}}$ long-range molecular states in the asymptotic range of [$\ensuremath{-}12.5\phantom{\rule{0.3em}{0ex}}{\mathrm{cm}}^{\ensuremath{-}1}$, $\ensuremath{-}1.5\phantom{\rule{0.3em}{0ex}}{\mathrm{cm}}^{\ensuremath{-}1}$] below the dissociation limit. Using a Lu-Fano approach to analyze the data, we show that an improved LeRoy-Bernstein model has to be applied. This approach lets us determine the phase shift of the wave function at the dissociation limit of the ${0}_{g}^{\ensuremath{-}}$ series.We report on cold atom photoassociation of $^{87}\mathrm{Rb}$ giving spectroscopy data of the $(5{s}_{1∕2}+5{p}_{1∕2}){0}_{g}^{\ensuremath{-}}$ long-range molecular states in the asymptotic range of [$\ensuremath{-}12.5\phantom{\rule{0.3em}{0ex}}{\mathrm{cm}}^{\ensuremath{-}1}$, $\ensuremath{-}1.5\phantom{\rule{0.3em}{0ex}}{\mathrm{cm}}^{\ensuremath{-}1}$] below the dissociation limit. Using a Lu-Fano approach to analyze the data, we show that an improved LeRoy-Bernstein model has to be applied. This approach lets us determine the phase shift of the wave function at the dissociation limit of the ${0}_{g}^{\ensuremath{-}}$ series.

Physical Review AMar 2, 200635 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

Reanalysis of the photoassociation spectrum of 133Cs2 （6P3/2） lg state

Jie Ma, 李玉清, Jie Ma +5 more

中国物理B：英文版Jan 1, 20130 citations

Reanalysis of the photoassociation spectrum of133Cs2(6P3/2) 1gstate

Jie Ma, Yuqing Li, Jizhou Wu +5 more

Chinese Physics BAug 1, 20130 citations

Spin effects in (6s1∕2+6p1∕2)0u+ Cs2133 weakly bound molecules analyzed by using the Lu-Fano method coupled to the improved LeRoy-Bernstein formula

Haikel Jelassi, B. Viaris de Lesegno, Laurence Pruvost +2 more

We present an analysis of spectroscopic data concerning the long-range molecular state $(6{s}_{1∕2}+6{p}_{1∕2}){0}_{u}^{+}$ of $^{133}\mathrm{Cs}_{2}$ [M. Pichler, H. Chen, and W. C. Stwalley, J. Chem. Phys. 121, 1796 (2004)] by using the Lu-Fano method coupled to the improved LeRoy-Bernstein formula. The obtained Lu-Fano graph exhibits the coupling of molecular series to the $(6{s}_{1∕2}+6{p}_{3∕2}){0}_{u}^{+}$ state. The coupling is due to the spin effects in the molecule. A two-channel model involving the improved LeRoy-Bernstein formula allows us to characterize the molecular series, to localize the perturbing levels, to evaluate the coupling in the vicinity of each perturbing level (five observed for Cs) in a two-level approach and in a more accurate multilevel description. Furthermore, we predict the energy and the width of the first predissociated level.We present an analysis of spectroscopic data concerning the long-range molecular state $(6{s}_{1∕2}+6{p}_{1∕2}){0}_{u}^{+}$ of $^{133}\mathrm{Cs}_{2}$ [M. Pichler, H. Chen, and W. C. Stwalley, J. Chem. Phys. 121, 1796 (2004)] by using the Lu-Fano method coupled to the improved LeRoy-Bernstein formula. The obtained Lu-Fano graph exhibits the coupling of molecular series to the $(6{s}_{1∕2}+6{p}_{3∕2}){0}_{u}^{+}$ state. The coupling is due to the spin effects in the molecule. A two-channel model involving the improved LeRoy-Bernstein formula allows us to characterize the molecular series, to localize the perturbing levels, to evaluate the coupling in the vicinity of each perturbing level (five observed for Cs) in a two-level approach and in a more accurate multilevel description. Furthermore, we predict the energy and the width of the first predissociated level.

Physical Review AAug 5, 200813 citations

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

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.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.

Physical Review AJul 28, 200622 citations

We report on cold atom photoassociation of

^{87}\mathrm{Rb}

giving spectroscopy data of the $(5{s}_{1∕2}+5{p}_{1∕2}){0}_{g}^{\ensuremath{-}}$ long-range molecular states in the asymptotic range of [$\ensuremath{-}12.5\phantom{\rule{0.3em}{0ex}}{\mathrm{cm}}^{\ensuremath{-}1}$, $\ensuremath{-}1.5\phantom{\rule{0.3em}{0ex}}{\mathrm{cm}}^{\ensuremath{-}1}$] below the dissociation limit. Using a Lu-Fano approach to analyze the data, we show that an improved LeRoy-Bernstein model has to be applied. This approach lets us determine the phase shift of the wave function at the dissociation limit of the ${0}_{g}^{\ensuremath{-}}$ series.

We present an analysis of spectroscopic data concerning the long-range molecular state

(6{s}_{1∕2}+6{p}_{1∕2}){0}_{u}^{+}

^{133}\mathrm{Cs}_{2}

[M. Pichler, H. Chen, and W. C. Stwalley, J. Chem. Phys. 121, 1796 (2004)] by using the Lu-Fano method coupled to the improved LeRoy-Bernstein formula. The obtained Lu-Fano graph exhibits the coupling of molecular series to the

(6{s}_{1∕2}+6{p}_{3∕2}){0}_{u}^{+}

state. The coupling is due to the spin effects in the molecule. A two-channel model involving the improved LeRoy-Bernstein formula allows us to characterize the molecular series, to localize the perturbing levels, to evaluate the coupling in the vicinity of each perturbing level (five observed for Cs) in a two-level approach and in a more accurate multilevel description. Furthermore, we predict the energy and the width of the first predissociated level.

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.