Abstract
Abstract The spin resonances in high energy electron storage rings are calculated using perturbation theory, for various model storage rings, and the results are compared against analytical formulas (in the case of higher order synchrotron resonances), to elucidate the convergence of the perturbation series. A new analytical formula for synchrotron resonances centered on an integer is also derived, because it is shown that the older formula contains approximations not always valid in modern storage rings. The perturbation series is shown to converge and to agree with the analytical formulas, and the number of term required for convergence is estimated. Some other pedagogical results are also presented.
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