Abstract
The effects of large dispersion at the interaction point are discussed within the linear approximation of the beam-beam force. The synchrotron and betatron motions affect each other. Synchrotron and betatron tune shifts as well as bunch-length and energy-spread modifications appear, among many effects. Depending on the parameters, degradations of the luminosity can occur due to the hourglass effect. More serious is an enlargement of the collision energy spread, which may reduce the event rate and invalidate the monochromatization scheme.
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