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We investigate theoretically the combination of first-orderquadrupole-quadrupole and second-order dipole-dipole effects on the long-rangeelectrostatic interactions between a ground-state homonuclear alkali-metaldimer and an excited alkali-metal atom. As the electrostatic energy iscomparable to the dimer rotational structure, we develop a general descriptionof the long-range interactions which allows for couplings between the dimerrotational levels. The resulting adiabatic potential energy curves, whichexhibit avoided crossings, cannot be expanded on the usual $1/R^{n}$ series. Westudy in details the breakdown of this approximation in the particular caseCs$_{2}+$Cs. Our results are found promising in the prospect of accomplishingthe photoassociation of ultracold trimers.

the european physical journal. d, atomic, molecular and optical physics/the european physical journal. d, atomic, molecular, optical and plasma physics

Ultracold atom-dimer long-range interactions beyond the $1/R^{n}$ expansion