On the X-ray emission from Crab-like supernova remnants

Crab-like supernova remnants are modeled as expanding, homogeneous, pulsar-fed bubbles of magnetic field and relativistic particles. Power-law behavior is assumed, with time of bubble radius and magnetic field, and the evolution of the particle spectrum is calculated. It is shown that, if a single power-law distribution of particles is injected into the bubble, this simple model is substantially too bright in X-rays, compared with several observed remnants; a more complex model is evidently required. It is argued that the most likely possibility is that X-ray and radio-producing particles in fact have different origins altogether, and some of the constraints on processes producing X-ray-emitting particles are discussed.