  We perform a study on extended adiabatic potential energy curves of nearly 38
states of 1,3$\Sigma^+$, 1,3$\Pi$ and 1,3$\Delta$ symmetries for the (SrNa)$^+$
ion, though only the ground and first two excited states are used for the study
of scattering processes. Full Interaction Configuration (CI) calculations are
carried out for this molecule using the pseudopotential approach. In this
context, it is considered that two active electrons interact with the ionic
cores and all single and double excitations were included in the CI
calculations. A correction including the core-core electron interactions is
also considered. Using the accurate potential energy data, the ground state
scattering wave functions and cross sections are obtained for a wide range of
energies. We find that, in order to get convergent results for the total
scattering cross sections for energies of the order 1 K, one need to take into
account at least 87 partial waves. In the low energy limit ( < 1 mK), elastic
scattering cross sections exhibit Wigner law threshold law behavior while in
the high energy limit the cross sections go as $E^{-1/3}$. A qualitative
discussion about the possibility of forming the cold molecular ion by
photoassociative spectroscopy is presented.
