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_0(c) much smaller than the Thouless energy E(c). We show that in a rather broad range of pair-breaking strength, T_0(c) < or = Planck's/tau(s)< or =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_0(c)'s.