Multiturn simulation of coherent betatron resonance with space charge

The space-charge analysis code TRANSOPTR, paired with the tracking and simulation code ACCSIM, have been applied to study the half-integer betatron resonances in a high-intensity proton ring. We investigate the relationship of coherent-mode frequencies with the incoherent (Laslett) tune as a function of beam intensity, and the existence of space-charge intensity limits due to detuning of the coherent modes onto a resonance. Details of the computational model and solution methods are also presented. (author)