Beam-beam synchrobetatron resonance at the LHC

Some beam-beam simulations are presented for the LHC beam parameters of late 2012, with collisions at nonzero crossing angle in IPs 1 and 5. Long-range encounters and other IPs are not included. Strong emittance growth is observed above 3the -rd order resonance. Synchrotron motion and z dependent beam-beam force, in particular the nonzero crossing angle, are essential ingredients for this growth. Bunch shortening is observed simultaenously with the strong transverse emittance growth, which is consistent with LHC observations in November 2012. The simulations do not show any significant growth close to the 7-th order resonance ~0.29. The simulated bunch shortening at 3Qy~1is sensitive to Qx. Open questions are if the tune of some bunches may exceed 0.33 in LHC, and/or whether electron cloud also contributes to the phenomenon. This presentation was given at CERN on 4 December 2012.