Abstract

Analytic formulas for the closed orbit distortion (COD) and the beam shape distortion (BSD) due to the beam-cavity interaction are obtained with the cumulative, i.e., the multi-turn effect taken into account. The formulas are extended so that they are applicable to storage rings with many cavities and several counter-rotating bunches. In particular, the COD and the BSD of the bunches at the collision point are estimated for the case of TRISTAN. The effect of the COD and the BSD on the luminosity is found to be small. The beam-cavity interaction causes a difference between the closed orbits of the electron bunches and the positron bunches of almost 10% of the closed orbit due to magnet imperfections.

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