Anomalous spin-flip lifetime near the Heisenberg- ferromagnet critical point

The inverse lifetime, $\frac{1}{{\tau }_s}$, of spin-flip processes for the conduction electrons in a Heisenberg ferromagnet is calculated in the first Born approximation. It is found that the temperature derivative of $\frac{1}{{\tau }_s}$ varies as ${|T-T_c|}^{2\nu -\gamma -1\mathrm{}}$ and is negative above $T_c$ and positive below $T_c$. Comparison is made with the behavior of the electrical resistivity near $T_c$. The impact upon the superconducting transition temperature is examined.