Limits on Topological Defects Models of the Ultrahigh Energy Cosmic Rays
  Using the propagation of ultra high energy nucleons, photons and electrons in the universal radiation backgrounds, we obtain limits on the luminosity of topological defects scenarios for the origin of the highest energy cosmic rays. The limits are set as function of the mass of the X-particles emitted by the cosmic strings or other defects, the cosmological evolution of the topological defects, and the strength of the extragalactic magnetic fields. The existing data on the cosmic ray spectrum and on the isotropic 100 MeV gamma-ray background limit significantly the parameter space in which topological defects can generate the flux of the highest energy cosmic rays. 
R.J. Protheroe (University of Adelaide) and Todor Stanev (Bartol   Research Institute)