  We consider a system consisting of Rydberg dressed atoms interacting with BEC
condensate of diatomic molecules. Using random phase approximation (RPA) we
calculate the effective interactions between Rydberg atoms accounting for their
Wan der Waals repulsion and exchange of virtual excitations of the condensate
and demonstrate that total interaction can become attractive and BCS state of
Rydberg dressed atoms can be formed. Using the example of 6Li atoms we
demonstrate that the strength of the interactions can be controlled optically,
and BCS regime is achievable at realistic experimental conditions.
