Speaker
Description
Recently, several special electron rings have been proposed featuring beam energies of a few hundred MeV, nanometer-scale bunch lengths, and micrometer-scale bunch spacings. Due to their relatively low energy and high beam current, space-charge effects may become significant. In this work, we evaluate both the space-charge tune shift and the longitudinal envelope equation with space-charge forces in these novel rings.
Conventional theoretical methods for evaluating space-charge tune shifts may not remain valid under the extreme beam conditions. To address this issue, we derive new formulas applicable to arbitrary bunch lengths. These formulas also incorporate multibunch effects, which were not considered in previous analyses. Our results show that the result predicted by the new formulas is noticeably smaller than that from classical methods. Furthermore, our analysis demonstrates that multibunch effects become dominant for the transverse space-charge tune shift when the bunch spacing approaches the micrometer scale.
For the longitudinal envelope equation, previous studies primarily focused on proton machines and linacs, where synchrotron radiation is absent. To evaluate the envelope evolution more accurately in these novel electron rings, we incorporate radiation damping and quantum excitation into the existing envelope equations. Preliminary calculations indicate the space-charge force can significantly affect the equilibrium energy spread and bunch length in these rings.
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