Nonlinear mode coupling analysis in the Tevatron

Increased demand for higher luminosities from Fermilab proton-antiproton collider requires higher intensities and increased number of bunches. The performance of existing 6×6 and the proposed 36×36 collider is often limited by the non-linear effects arising from beam-beam interactions, in particular for high intensity beams. The tune shifts and spread from increased long range interactions combined with higher order multipoles complicates the frequency spectrum of the particle motions. The TEAPOT simulation program is used to generate turn by turn data that could be used in the nonlinear mode spectrum analysis. Bispectral mode analysis is discussed