Inelastic scattering in normal and superconducting Raman response

We use the nearly antiferromagnetic Fermi liquid model to illustrate the effect of strongly anisotropic inelastic scattering on the electron Raman response. Both normal and superconducting states are considered, accounting fully for the momentum and frequency dependence of the resulting self-energy. Special attention is paid to the low frequency of the response and an omega to omega(3) crossover in B-1g. By analogy to the infrared conductivity case, effective Raman scattering times are extracted, and their temperature and frequency dependences are studied and are compared with equivalent optical quantities. Impurities, within a unitary scattering approximation, are introduced and found to also have a strong characteristic signature on the Raman response.