Theoretical Framework to Predict Efficiency of Ionization Cooling Lattices

Diktys Stratakis, David Neuffer, Schaa, Volker RW (Ed.), Michel, Peter (Ed.), Arduini, Gianluigi (Ed.), Petit-Jean-Genaz, Christine (Ed.)
Reduction of the 6-dimensional phase-space of a muon beam by 6 orders of magnitude is a key requirement for a Muon Collider. Recently, a 12-stage rectilinear ionization cooling channel has been proposed to achieve that goal. In this paper, we establish the mathematical framework to predict and evaluate the cooling performance of the proposed channel. We predict the system effectiveness, by deriving key lattice parameters such as the lattice quality factor which describes the rate of cooling
more » ... rate of cooling versus the surviving particles and the longitudinal and effective partition numbers for each stage. Main theoretical findings, such as the equilibrium emittances and effective cooling length, are compared against findings from numerical simulations.
doi:10.18429/jacow-ipac2014-tupme021 fatcat:ez2jnbljm5c45kbi27iyljprem