Reprint Server

Stochastic Processes in Muon Ionization Cooling

Abstract

A muon ionization cooling channel consists of three major components: the magnet optics, an acceleration cavity, and an energy absorber. The absorber of liquid hydrogen contained by thin aluminum windows is the only component which introduces stochastic processes into the otherwise deterministic acceleration system. The scattering dynamics of the transverse coordinates is described by Gaussian distributions. The asymmetric energy loss function is represented by the Vavilov distribution characterized by the minimum number of collisions necessary for a particle undergoing loss of the energy distribution average resulting from the Bethe–Bloch formula. Examples of the interplay between stochastic processes and deterministic beam dynamics are given.

D. Errede, K. Makino, M. Berz, C. Johnstone, A. van Ginneken, Nuclear Instruments and Methods A519 (2004) 466-471

Download

Click on the icon to download the corresponding file.

Download Adobe PDF version (499998 Bytes).

Go Back to the reprint server.
Go Back to the home page.

This page is maintained by Kyoko Makino. Please contact her if there are any problems with it.