Abstract
${\mathrm{H}}^{\ensuremath{-}}$ stripping injection into the Fermilab recycler ring, combined with a beam phase painting technique, has been considered. The multiparticle three-dimensional beam dynamics with space charge has been studied numerically, using STRUCT and ORBIT codes, for different painting scenarios. In order to achieve a uniform (quasi-KV) phase-space distribution and to reduce the foil heating, the following parameters were investigated: the number of turns, strengths and temporal forms of kicker magnets, and foil geometry. Performance of the stripping foil is a crucial parameter of the whole injection scheme, so that the latter has been designed to minimize the hit number on the foil. The temperature regime has been evaluated both semianalytically and numerically using Monte Carlo codes MARS and MCNPX, with radiation cooling and transport of $\ensuremath{\delta}$ electrons taken into account. That all results agreed well proves the consistency of the models. It has been shown that the stripping foil can survive during injection with the parameters chosen for Project X at Fermilab.
Highlights
Painting injection with a stripping foil is a well established technique implemented at KEK and other accelerator laboratories
It is easier to build a distribution for many turns, but on the other hand, the foil heating suggests having a faster injection with fewer turns, when the beam phase profiles may still be inappropriate
The injection scheme has to represent a compromise between the resulting beam phase distribution, which is important for further dynamics, and foil sustainability, defined by tolerable heating of foil material
Summary
Painting injection with a stripping foil is a well established technique implemented at KEK and other accelerator laboratories. The stripping, when HÀ charge exchange occurs, allows one to overcome the limitations imposed by the Liouville’s theorem and the proper strengths of painting magnets help to form a desired phase-space beam distribution. Longitudinal painting, resulting in a uniform shape of the density in ðÁ; ÁEÞ phase space, is preferable. The injection scheme has to represent a compromise between the resulting beam phase distribution, which is important for further dynamics, and foil sustainability, defined by tolerable heating of foil material. Other foil issues, such as secondary electrons and neutral H0 species produced in. The numerical simulations agreed well with a semianalytical model, giving confidence that for the chosen injection scheme parameters the stripping foil will survive
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