Interaction of Two Electrons by Interchanging the Phonon Occured in the Beam-Plasma System

Nonlinear interaction between beam electrons in the presence of ion wave by exchanging the phonon is analysed with renormalization theory. We obtain the electric field of envelope solitary wave. Attractive phenomena between the solitary waves around the ion wave are found. Many phase gaps of the soliton’s carrier appear when ion wave intensity is strongly enough. Thus the possibility of stochastic accelleration by the phase gap is also discussed. Keywords: nonlinear plasma, renormalization, solitary wave, ion wave, attractive forc