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We present a theoretical investigation of cold reactive and non-reactivecollisions of Li and Rb atoms with C$_{2}^{-}$. The potential energy surfacesfor the singlet and triplet states of the Li--C$_{2}^{-}$ and Rb--C$_{2}^{-}$systems have been obtained using the CASSCF/ic-MRCI+Q approach with extendedbasis sets. The potential energy surfaces are then used to investigate theassociative detachment reaction and to calculate rotationally inelastic crosssections by means of the close-coupling method. The effect of the corecorrelation on the potential energy surfaces is discussed and we estimate theerror on the collisional cross sections induced by freezing the $1s$ orbitalsof the carbon atoms. The results are compared to those obtained for theRb-OH$^{-}$ system and the applications for hybrid trap experiments areexplored. Furthermore, we discuss the possibility to perform Dopplerthermometry on the C$_{2}^{-}$ anion and investigate the collision processinvolving excited states. The implications for sympathetic cooling experimentsare also discussed.

Cold reactive and non-reactive collisions of Li and Rb with C$_2^-$: implications for hybrid trap experiments