  The scattering cross section of a Coulomb potential screened by a charged
Bose gas (CBG) is calculated both above and below the Bose-Einstein
condensation temperature, using the variable phase method. In contrast with the
BCS superconductor, the screened scattering potential and quasiparticle
lifetime are found to be very different in the superconducting and normal
states. We apply the result to explain the appearence of a sharp peak in the
ARPES spectra in some cuprates below the superconducting transition.
