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TY - CONF AU - Stratakis, D. AU - Neuffer, D.V. ED - Petit-Jean-Genaz, Christine ED - Arduini, Gianluigi ED - Michel, Peter ED - Schaa, Volker RW TI - Theoretical Framework to Predict Efficiency of Ionization Cooling Lattices J2 - Proc. of IPAC2014, Dresden, Germany, June 15-20, 2014 C1 - Dresden, Germany T2 - International Particle Accelerator Conference T3 - 5 LA - english AB - 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 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. PB - JACoW CP - Geneva, Switzerland SP - 1392 EP - 1394 KW - emittance KW - focusing KW - collider KW - lattice KW - betatron DA - 2014/07 PY - 2014 SN - 978-3-95450-132-8 DO - 10.18429/JACoW-IPAC2014-TUPME021 UR - http://jacow.org/ipac2014/papers/tupme021.pdf ER -