with k F l≈ 1, where k F is the Fermi wave number and l is the mean free path, derived from
experimental transmission characteristics of coplanar waveguide resonators in a wide
temperature range below the superconducting transition temperature T c. We find that the
original Mattis-Bardeen model with a finite quasiparticle lifetime, τ, offers a perfect
description of the experimentally observed complex conductivity. We show that τ is …