Compensations of beam–beam resonances using crabbing schemes at large Piwinski crossing angles

We study combined effects of the crab crossing and of the crab waist lattice options on the luminosity performance of a collider where the crossing angle collisions are used. We have found that for collisions at large Piwinski angle a proper combination of the crab crossing and of the crab waist lattice insertions results in exact cancellation of all synchro-betatron as well as of all betatron coupling beam–beam resonances of odd orders. The beam–beam limitations on the luminosity for such a collider with the crossing angle collisions will be the same like that for a collider with head-on collisions of short bunches.