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The ``Montague resonance'' is a familiar issue in high-intensity proton rings, which causes emittance exchange between the two transverse planes, having a significant influence on their high-intensity performance. In this paper, we discuss the characteristic effects of this resonance on the formation of the beam distribution during multiturn injection painting that are measured experimentally at the 3-GeV rapid cycling synchrotron in the Japan Proton Accelerator Research Complex. In addition, we discuss an optimization methodology for injection painting for the case involving emittance exchange.
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H. Hotchi (2020) studied this question.
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