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Pré-Publication, Document De Travail Année : 2015

Long-range interactions between polar bialkali ground-state molecules in arbitrary vibrational levels

R Vexiau
M Lepers
M Aymar
  • Fonction : Auteur

Résumé

We have calculated the isotropic $C_6$ coefficients characterizing the long-range van der Waals interaction between two identical heteronuclear alkali-metal diatomic molecules in the same arbitrary vibrational level of their ground electronic state $X^1\Sigma^+$. We consider the ten species made up of $^7$Li, $^{23}$Na, $^{39}$K, $^{87}$Rb and $^{133}$Cs. Following our previous work [M.~Lepers \textit{et.~al.}, Phys.~Rev.~A \textbf{88}, 032709 (2013)] we use the sum-over-state formula inherent to the second-order perturbation theory, composed of the contributions from the transitions within the ground state levels, from the transition between ground-state and excited state levels, and from a crossed term. These calculations involve a combination of experimental and quantum-chemical data for potential energy curves and transition dipole moments. We also investigate the case where the two molecules are in different vibrational levels and we show that the Moelwyn-Hughes approximation is valid provided that it is applied for each of the three contributions to the sum-over-state formula. Our results are particularly relevant in the context of inelastic and reactive collisions between ultracold bialkali molecules, in deeply bound or in Feshbach levels.
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Dates et versions

hal-01118493 , version 1 (19-02-2015)

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R Vexiau, M Lepers, M Aymar, N Bouloufa-Maafa, O Dulieu. Long-range interactions between polar bialkali ground-state molecules in arbitrary vibrational levels. 2015. ⟨hal-01118493⟩
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