PARTICLE DYNAMICS IN QUASI-ISOCHRONOUS STORAGE SINGS

The synchrotron equation of motion in quasi-isochronous (QI) storage r ings is transformed to a universal Weierstrass equation, where the sol ution is given by Jacobian elliptic functions. Scaling properties of t he QI Hamiltonian are derived. The effects of phase space damping and the sensitivity of particle motion to external harmonic modulation are studied. We find that the rf phase modulation is particularly enhance d in QI storage rings. Exact formula and sum rules for resonance stren gth coefficients are derived. When the QI dynamical system is subject to harmonic modulation, it exhibits a sequence of period-2 bifurcation s leading to global chaos in a region of modulation tune. This means t hat the operators of QI storage rings should pay special attention to rf phase noise.