Abstract
In this note, a third possible coherent instability excited by the beam-beam interaction will be discussed. This time it involves the longitudinal motion of the bunches. What is studied is the possibility of beam-beam excited longitudinal dipole oscillations or coherent synchro-betatron oscillations in which the longitudinal and transverse motions are coupled through the beam-beam collisions. We suggest that such modes of oscillations exist when there is a finite dispersion at the interaction point.
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