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The proposed model for the nonlinear tune shift calculation is compared to both the numerical results for the nonlinear model of the Tevatron accelerator and the independent approximate formula for the tune shift by Meller et al. The proposed model shows a discrepancy of about 2%.
P. Snopok, M. Berz, C. Johnstone, Int. Journal of Modern Physics A 24,5 (2009) 974-986
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