Abstract

Beam halo formation issues are important for the design of high current linear ion accelerators. Various mechanisms can potentially cause beam halo. Some recent studies suggested that Coulomb collisions in the beam bunch can contribute significantly to beam bunch growth and halo development in linear accelerators. Despite the general belief that collisions are not important, it is clear that a rigorous treatment of this question is needed. In an effort to explore this issue in detail we have undertaken an analysis of the effects of Coulomb scattering between ions in a self-consistent spherical bunch.

Highlights

  • During the last several years, interest has grown in the design of high current linear ion accelerators for a variety of important applications

  • Our recent contributions to these efforts have been the construction of a model which identifies a major mechanism for transverse halo formation [1], followed by the construction of a self-consistent 6D phase space distribution for studies of halo formation in spheroidal bunches in a linear external confining field [2]

  • We performed numerical studies with an rms matched, but otherwise non-self-consistent 6D distribution and found a rather rapid transition to a more or less self-consistent distribution with a corresponding small mismatch [3]. In these studies we found that starting with a non-self-consistent distribution altered the parameters for halo formation obtained for the self-consistent distribution only slightly

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Summary

INTRODUCTION

During the last several years, interest has grown in the design of high current linear ion accelerators for a variety of important applications. Our objective in this paper is to explore the effect of Coulomb collisions in the beam bunch and to see if this process contributes significantly to beam emittance growth and halo development in linear accelerators. He related the rate for a particle to scatter into the shell around the bunch to the admittance of the accelerator His conclusion was that the effect is important if the acceptance of the machine is small, and. There have been some recent numerical studies which suggest that small angle single Coulomb scattering may not be negligible for spheroidal bunches in a linac [11]. Because of the importance of this question for the design of high current linear ion accelerators, a more rigorous treatment of the effect of single Coulomb collisions is needed. We try to relate our perspective to diffusion caused by many small angle Coulomb collisions as treated by the Fokker-Planck equation

GENERAL CONSIDERATIONS
SELF-CONSISTENT PHASE SPACE DISTRIBUTION
Order of magnitude estimate
Rate of escape from the bunch
Kinematics of the collision
STRUCTURE OF THE SHELL AND EFFECT OF MULTIPLE COLLISIONS
SUMMARY AND CONCLUSIONS
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