6D Beam-Beam Kick including Coupled Motion

The 6D beam-beam interaction as developed in 1992 by Hirata, Moshammer and Ruggiero [1,2] has been extended to include linear coupled motion and an arbitrary crossing plane. The technique of sympletic mapping the six-dimensional phase space, called synchro-beam mapping (SBM), is applied to investigate the beam-beam kick within a solenoid. A linear beam-beam model including coupling is discussed in detail, also in the framework of a six-dimensional symplectic dispersion formalism.