Abstrakt
The universal properties of the loosely bound vibrational states of cold hybrid ion-atom systems are probed using a "scaling" approach. This approach is based on the use of numerical relations (a versus D-last) between the binding energy (D-last) of the highest vibrational state and the s-wave scattering length (a) obtained by solving the appropriate Schrodinger equations with scaled interaction potentials.
The actual probing is accomplished by evaluating the "a versus D-last" relations for (6)Li2+ and (7)Li2+ in the X2 sigma g+ ground electronic state using a set of ab initio potential energy curves from the literature. Although these curves provide strongly differing values of a and D-last, the corresponding "a versus D-last" relations closely coincide, thus enabling an accurate determination of scattering lengths directly from experimental binding energies and vice versa.