Behaviour of space-charge dominated ion beams in storage rings

The interparticle repulsion, or space charge, limits the density of charged particle beams that can be obtained in storage rings. In this report we study the effect of increasing the space charge, with an exact computation of the lattice parameters using SYNCH. Systematically increasing the ion density by decreasing the emittance with cooling techniques lowers the betatron tune, until the lower half-integral stopband resonance -- also induced by the beam is reached. In the simple model described in the report, the amount of ''cooling'' is limited by the encountered stopband of the lattice. Therefore, machines with a higher tune and larger periodicity are better suited to store beams with high space charge