“…Several authors have studied the effect of transverse space charge and obtained analytical expressions to estimate the limit on the beam current [21][22][23][24][25]. In a recent work we have studied the behavior of transverse envelopes of space charge dominated beam along the accelerated orbits in a compact cyclotron by using coupled beam envelope equations with acceleration and assumed the beam as a uniform ellipsoidal bunch [26,27]. In that analysis we have assumed that the radial and longitudinal coupling is very weak and neglected the effect of bunch rotation during the transport.…”