Phys. Rev. Lett. 85, 764–767 (2000)Beam Envelope Equations for Cooling of Muons in Solenoid FieldsReceived 22 March 2000; published in the issue dated 24 July 2000 Muon cooling is a critical component of the proposed muon collider and neutrino factory. Previous studies of cooling channels have tracked single muons through the channel, which requires many particles for good statistics and does not lend itself to an understanding of channel dynamics. In this paper, a system of moment equations are derived which captures the major aspects of cooling: interactions with material and acceleration by radio frequency (rf) cavities. A general analysis of solenoid lattice types compares well with prior simulations and indicates new directions for study. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.85.764
DOI:
10.1103/PhysRevLett.85.764
PACS:
41.85.Lc
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