Coherent deflection of elliptic bunches colliding at crossing angle

TL;DR

This paper generalizes the Bassetti-Erskine formalism to analyze the coherent deflection of elliptic charged particle bunches colliding at an angle with different energies, relevant for collider physics.

Contribution

It introduces a generalized formalism for bunch deflection and orbit shift considering non-zero crossing angles and energy differences.

Findings

Derived a generalized Bassetti-Erskine formalism.

Analyzed effects of crossing angle and energy differences on bunch deflection.

Discussed applications in collider physics.

Abstract

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.