Electron energy relaxation in the presence of magnetic impurities

We study inelastic electron-electron scattering mediated by the exchange in teraction of electrons with magnetic impurities and find the kernel of the corresponding two-particle collision integral. In a wide region of paramete rs, the kernel K is proportional to the inverse square of the transferred e nergy, K a J(4)/E-2. Th, exchange constant J is renormalized due to the Kon do effect. At small energy transfers, the 1/E-2 divergence is cut off; the cutoff energy is determined by the dynamics of the impurity spins. The obta ined results may provide a quantitative explanation of the experiments of P othier et at. [Phys. Rev. Lett. 79, 3490 (1997)] on anomalously strong ener gy relaxation in short metallic wires.