The coherent synchrotron radiation influence on the storage ring   longitudinal beam dynamics
  We investigate influence on the storage ring beam dynamics of the coherent Synchrotron Radiation (SR) self fields produced by an electron bunch. We show that the maximum energy gain in the RF cavity must far exceed the energy loss of electrons due to the coherent SR. 
E.G.Bessonov, R.M. Feshchenko, V.I. Shvedunov