Skip to Main Content
In order to realize high intense operations in proton synchrotrons, a large ring acceptance is commonly required. In such a machine, intrinsic nonlinear magnetic fields play a significant role, and induced high-order resonances can strongly limit the betatron tunability. In such a situation, a clear understanding of a betatron tune change during the revolution, such as chromatic tune shift, space-charge incoherent tune shift and tune shift caused by magnetic field tracking errors, is a key issue. In this paper, we show results from space-charge simulations introducing magnetic field tracking errors and discuss the combined effects of various tune shifts on beam dynamics for the J-PARC 3- GeV rapid-cycling synchrotron.