Radial-offset Optics in EIC Hadron Lattices: Trajectory Lengthening

Abstract

This Tech. Note describes a method for a radial orbit offset in the arcs of the EIC hadron lattices, based on the perturbation dB/B of the magnetic field of the arc main bend magnets. This can be done independently for each arc (allowing multiple rigidities) and requires the use of pairs of orbit correctors at the extremities of the arc to ensure that the radially shifted orbit is on the zero-orbit (i.e. with the horizontal coordinates x = 0, p x = 0) at the exit and entry point of the respectively upstream and downstream interaction region (IR). The goal is to produce appropriate orbit lengthening as required for time of flight adjustments between the electron and hadron beams as part of EIC operations. An ad hoc parameter is introduced: a “geometric compaction factor” α B = (dC/C)/(dB/B), to quantify the orbit lengthening, or equivalently the radial orbit shift dR = R · α B · dB/B, from bending perturbation. Detailed numerical results are produced and discussed.