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TY - CONF AU - Xiao, M. AU - Gao, J. AU - Yue, Y. ED - Henderson, Stuart ED - Akers, Evelyn ED - Satogata, Todd ED - Schaa, Volker R.W. TI - Theory of Transverse Ionization Cooling in a Linear Channel J2 - Proc. of IPAC2015, Richmond, VA, USA, May 3-8, 2015 C1 - Richmond, VA, USA T2 - International Particle Accelerator Conference T3 - 6 LA - english AB - Ionization cooling is the most hopeful method to reduce the emittance of muon beams, which plays an important role in neutrino factory and muon collider. Within the moment-equation approach, I present a way to derive the formulae of emittance in transverse under linear channel. All heating and coupling terms are reserved in the deriving process. From my formulae, it is a way to achieve a small emittance by designing the cooling channel compact to make the beta function changing sharply. PB - JACoW CP - Geneva, Switzerland SP - 279 EP - 281 KW - emittance KW - lattice KW - quadrupole KW - scattering KW - collider DA - 2015/06 PY - 2015 SN - 978-3-95450-168-7 DO - 10.18429/JACoW-IPAC2015-MOPWA067 UR - http://jacow.org/ipac2015/papers/mopwa067.pdf ER -