We are glad to bring to your attention a new preprint «Luminosity of an Ion Collider» D1-2019-40 published by the JINR Publishing Department. The author of the work is Meshkov I. N.

Abstract:

A formula is obtained for the luminosity of a collider at the collision of two beams that differ, generally speaking, by their parameters («asymmetric colliders»). The formula is valid for counterpropagating and merging beams with coincident longitudinal axes. Three special cases of the formula are considered: collision of two identical axially symmetric bunched beams, collision of a bunch with a coasting beam, and collision of two coasting beams. Collision of intersecting beams is briefly considered, and the method for calculating their luminosity is formulated. The synchronization problem is considered for collisions of asymmetric beams. A method is presented for optimizing parameters of a cyclic collider by minimizing betatron frequency shifts caused by the action of the space charge of the beams. Numerical examples of luminosity calculations for several types of asymmetric colliders are given.

Read the full version (in Russian)