Calculation of scattering parameters for ultracold ⁶ Li— ⁷ Li elastic collisions

Abstract

This paper theoretically studies the elastic scattering properties in a mixture of 6Li and 7Li atoms at cold and ultracold temperatures. Based on the constructed accurate interatomic potential of the triplet state for 6Li7Li mixture by the mass scaling method, it calculates the interspecies s-wave scattering lengths and the p-wave scattering lengths by the variable phase method and the semiclassical method, respectively. The scattering length is in good agreement with the experiment. The partial-wave and total cross sections are also calculated and a rich resonance structure is found.

Feshbach resonances in an ultracold mixture of87Rb and40K

“…[9] Alongside experimental efforts, substantial work has also been done on the theory of Feshbach reso-nances. Over last decade various models have been developed for ultracold collisions, the coupled channel calculation, [10,11] the variable phase theory, [12,13] the multichannel quantum defect theory (MQDT), [14] and the asymptotic bound state model (ABM). [15] Feshbach resonance depends crucially on the existence of an internal atomic structure, which can be modified by an external field.…”