ON EMITTANCE GROWTH OF STRONGLY COUPLED HEAVY-ION BEAMS

In intense, strongly coupled heavy ion beams collisions between beam p articles become important. We investigate their influence on the beam' s phase-space dimensions in terms of averaged quantities. A model is d eveloped where the emittance increases due to a temperature anisotropy driven by the envelope oscillations caused by a periodic focusing str ucture. A set of coupled differential equations is derived which exten d the envelope equations by including the dynamics of the emittances. From these equations, estimates for the average emittance growth rates can be made. The predictions of the model are tested by comparison wi th numerical results obtained from molecular dynamics simulations.