Non-Fermi liquid and pairing in electron-doped cuprates*

In electron-doped cuprates near optimal doping we show that in the normal state 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 $\Delta(\mathbf{k},\omega)$ is strongly non-monotonic along the Fermi surface. The normal state frequency dependencies, the value of $T_{c}\sim10K$ and the $\mathbf{k}$-dependence of the gap agree with the experiment.