Synchrotron dynamics in Compton x-ray ring with nonlinear momentum   compaction
  The longitudinal dynamics of electron bunches with a large energy spread circulating in the storage rings with a small momentum compaction factor is considered. Also the structure of the longitudinal phase space is considered as well as its modification due to changes in the ring parameters. The response of an equilibrium area upon changes of the nonlinear momentum compaction factor is presented. 
Eugene Bulyak, Peter Gladkikh, Vyacheslav Skomorokhov