Multiple intrabeam scattering in X-Y coupled focusing systems

Abstract

This paper describes an analytical method to calculate the emittance growth rates due to intra-beam scattering in a circular accelerator with arbitrary x-y coupling. The underlying theory is based on the Landau collision integral and the extended Mais-Ripken parametrization of a coupled betatron motion. The presented results are based on calculations of average emittance growth rates for an initially Gaussian distribution. They are applicable to both bunched and continuous beams.