Effect of pair breaking on mesoscopic persistent currents well above the superconducting transition temperature

We consider the mesoscopic normal persistent current (PC) in a very low-temperature superconductor with a bare transition temperature T-c(0) much smaller than the Thouless energy E-c. We show that in a rather broad range of pair-breaking strength, T-c(0) less than or similar to h/tau(s) less than or similar to E-c, the transition temperature is renormalized to zero, but the PC is hardly affected. This may provide an explanation for the magnitude of the average PC's in the noble metals, as well as a way to determine their T-c(0)'s.