A model for photoassociation of ultracold atoms and molecules is presented and applied to the case of K and NaK bosonic particles. The model relies on the assumption that photoassociation is dominated by long-range atom-molecule interactions well outside the chemical bond region. The frequency of the photoassociation laser is chosen close to a bound-bound rovibronic transition from the Σ ground state toward the metastable Π lowest excited state of NaK, allowing us to neglect any other excitation, which could hinder the photoassociation detection.
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