@article {1280, title = {Multi-channel modelling of the formation of vibrationally cold polar KRb molecules }, journal = {New Journal of Physics}, volume = {11}, year = {2009}, month = {2009/05/14}, pages = {055043}, abstract = { We describe the theoretical advances that influenced the experimental creation of vibrationally and translationally cold polar $^{40}$K$^{87}$Rb molecules \cite{nphys08,science08}. Cold molecules were created from very-weakly bound molecules formed by magnetic field sweeps near a Feshbach resonance in collisions of ultra-cold $^{40}$K and $^{87}$Rb atoms. Our analysis include the multi-channel bound-state calculations of the hyperfine and Zeeman mixed X$^1\Sigma^+$ and a$^3\Sigma^+$ vibrational levels. We find excellent agreement with the hyperfine structure observed in experimental data. In addition, we studied the spin-orbit mixing in the intermediate state of the Raman transition. This allowed us to investigate its effect on the vibrationally-averaged transition dipole moment to the lowest ro-vibrational level of the X$^1\Sigma^+$ state. Finally, we obtained an estimate of the polarizability of the initial and final ro-vibrational states of the Raman transition near frequencies relevant for optical trapping of the molecules. }, doi = {10.1088/1367-2630/11/5/055043}, url = {http://arxiv.org/abs/0901.1486v1}, author = {Svetlana Kotochigova and Eite Tiesinga and Paul S. Julienne} }