Coherent deflection of elliptic bunches colliding at crossing angle

The coherent deflection of charged particles bunch in the field of an counter-propagating bunch is considered. Bunches collide at non-zero crossing angle and they have different energies. Charge distributions in both colliding bunches are Gaussian. The generalization of Bassetti-Erskine formalism for bunch deflection and orbit shift is derived. Applications in collider physics are discussed.