Non-Fermi liquid and pairing in electron-doped cuprates

We study the normal state and pairing instability in electron-doped cuprates near optimal doping. We show that the fermionic self-energy has a non-Fermi liquid form leading to peculiar frequency dependencies of the conductivity and the Raman response. We solve the pairing problem and demonstrate that T_c is determined by the curvature of the Fermi surface, and the pairing gap \Delta(k,\omega) is strongly non-monotonic along the Fermi surface. The normal state frequency dependencies, the value of T_c\sim10K and the k-dependence of the gap agree with the experiment.