Study on the envelope oscillation of intense electron beam in CSR ecooler system

An intense electron beam is adopted in HIRFLCSR ecooler system to cool down heavy ion beams. In the drift space of the cooling section, the envelope of electron beam oscillates due to space charge field and solenoidal field. By solving the transversal envelope equation, the envelope oscillation of intense electron beam is preliminarily studied. The caculation results show that in the same case, the stronger the magnetic field is, the smaller the envelope oscillation is; meanwhile, the larger the beam energy is, the larger the oscillation frequency is．