2004
DOI: 10.1063/1.1626539
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Improved LeRoy–Bernstein near-dissociation expansion formula, and prospect for photoassociation spectroscopy

Abstract: NDE (Near-dissociation expansion) including LeRoy-Bernstein formulas are improved by taking into account the multipole expansion coefficients and the non asymptotic part of the potential curve. Applying these new simple analytical formulas to photoassociation spectra of cold alkali atoms, we improve the determination of the asymptotic coefficient, reaching a 1% accuracy, for long-range relativistic potential curve of diatomic molecules.

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Cited by 47 publications
(52 citation statements)
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References 68 publications
(153 reference statements)
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“…3 illustrates, the observed line positions are reproduced by a fit to the theoretical model of Ref. [19]. The fit [22] Fig.…”
mentioning
confidence: 99%
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“…3 illustrates, the observed line positions are reproduced by a fit to the theoretical model of Ref. [19]. The fit [22] Fig.…”
mentioning
confidence: 99%
“…The improved Leroy-Bernstein method as described in Ref. [19] has been used to assign vibrational quantum numbers and extract values for the dispersion coefficients. Since the total number of vibrational levels in the potential well is unknown, table I lists quantum numbers ∆ v ′ = v ′ − v ′ max relative to the last vibrationalelvel.…”
mentioning
confidence: 99%
“…[31], this term amounts for a noticeable fraction of about 11% of the van der Waals energy. However, a fitting using an im- proved LB formula [34] including both C 6 /R 6 and C 8 /R 8 contributions does not give satisfactory results as there are too many free parameters compared to the number of observed lines. We believe that scanning for deeper bound levels will not help to improve the results, as we are already close to the internuclear distance where exchange potential and higher order terms in the multipolar expansion should play a role.…”
Section: Long-range Fitting and Discussionmentioning
confidence: 99%
“…To determine the density of states of the a 3 R + electronic potential, we use near dissociation expansion (NDE) theory [13,14]. For a potential of the form…”
Section: Bound-free and Bound-bound Calculationsmentioning
confidence: 99%