Abstract
We briefly present recent progress with our algorithm and its implementation called SIMPA described in a previous paper. The algorithm has a new and unique approach to long-term 4D tracking of charged particles in arbitrary static electromagnetic fields. Using the improvements described in this paper, we made frequency analysis and dynamic aperture studies in ELENA. The effect of the end fields and the perturbation introduced by the magnetic system of the electron cooler on dynamic aperture is shown. A special feature of this study is that we have not introduced any multipole errors into the model. The dynamic aperture calculated in this paper is the direct consequence of the geometry of the magnetic elements. Based on the results, we make a few suggestions to reduce the losses during the deceleration of the beam.
Highlights
The importance of fringe fields in small rings is well known and it has been taken into account for multipole magnets at various degrees for decades [1,2,3,4]
The approach to particle tracking we described in [5] naturally includes the end fields for all kinds of elements with the same treatment
One is to apply our algorithm described in [5] on the extra low energy antiproton (ELENA) ring [6], the 30.4 meters circumference machine built at CERN to decelerate antiprotons
Summary
The importance of fringe fields in small rings is well known and it has been taken into account for multipole magnets at various degrees for decades [1,2,3,4]. Cutting the potentials at some distance, even far from a magnetic element, leads to a systematic error which accumulates during the tracking leading to an energy drift and nonpreservation of the phase space volume This has been recognized by others [2,4,15] and mitigations has been used to handle this effect. It is intended to become a tool to produce field maps suitable for long-term, charged particle tracking in general, in the domain of accelerator physics. The simulation tools needed for frequency analysis and dynamic aperture studies described in this paper were written in Java using the SIMPA library Both the simulation source code and the library source code is available from the author upon request. In the conclusions we suggest a few possible improvements for the performance of ELENA
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