Abstract
The six-dimensional beam-beam interaction as developed in 1992 by Hirata, Moshammer, and Ruggiero has been extended to include linear coupled motion and an arbitrary crossing plane. The technique of symplectic mapping in the six-dimensional phase space, called synchrobeam mapping, is applied to investigate the beam-beam kick within a solenoid. A linear beam-beam model including coupling is discussed in detail, also in the framework of a six-dimensional symplectic dispersion formalism.
Highlights
The beam-beam interaction is studied in storage rings, using the formalism developed by Hirata, Moshammer, and Ruggiero [synchrobeam mapping (SBM) and a Lorentz boost transforming the collision with a crossing angle to a head-on collision]
In this approach the strong bunch is split longitudinally into several slices, where each slice is described by an electrostatic potential of the form
It allows one to include the bunch length effect at the collision point and the energy variation caused by the electric field of the opposite bunch
Summary
The beam-beam interaction is studied in storage rings, using the formalism developed by Hirata, Moshammer, and Ruggiero [synchrobeam mapping (SBM) and a Lorentz boost transforming the collision with a crossing angle to a head-on collision]. In this approach the strong bunch is split longitudinally into several slices, where each slice is described by an electrostatic potential of the form. It allows one to include the bunch length effect at the collision point and the energy variation caused by the electric field of the opposite bunch This mapping is formulated only for head-on collision, but Hirata has shown that a crossing angle can be eliminated by a Lorentz boost [2]. The 6D beam-beam formalism has been incorporated in the tracking programs MAD [3] and SIXTRACK [4]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Physical Review Special Topics - Accelerators and Beams
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
