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arXiv 2203.09259physics.acc-ph
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Emittance growth of kicked and mismatched beams due to amplitude-dependent tune shift

E. Waagaard, V. Ziemann

英文摘要:

We derive evolution equations for the first and second moments of an initially mismatched, coupled, and displaced arbitrary Gaussian phase-space distribution under the influence of decoherence due to amplitude-dependent tune shift. Moreover, we find expressions for the asymptotic values of the beam matrix and the emittance and use them to evaluate error tolerances for injection.

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