Reply to “Comment on ‘Empirical condition of betatron resonances with space charge”’

In the Comment on our paper [Phys. Rev. Accel. Beams 22, 074201 (2019)PRABCJ2469-988810.1103/PhysRevAccelBeams.22.074201], Hofmann claims that our conclusions are based on a questionable interpretation of Vlasov’s equation and an over-interpretation of our multiparticle simulations. This assertion, however, comes largely from his misinterpretations of the essence of our work and proposed resonance condition. His criticism based on experimental data from some operating machines has also missed the point; we see no essential conflict between our arguments and experimental observations. While most of the questions raised by Hofmann have already been answered in our original paper above and previous publications, we take this opportunity to provide more information and explanation for clarity.

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