By colliding bunches of greater length under a larger angle, the tune spread caused by the beam‐beam interaction can be reduced. Assuming a constant limit for the beam‐beam tune shift, the bunch intensity can then be raised. In this way, a luminosity increase is possible. We review this strategy for proton beams in RHIC, with two collisions and consider six long bunches. Barrier cavities are used to fill every accelerating bucket of the machine, except for an abort gap, and to create the superbunches bunches at store. Resonances driven by the beam‐beam interaction and coherent effects are neglected in this article. © 2003 American Institute of Physics