Abstract
Operation of particle accelerators and correction of unavoidable magnet or alignment errors critically depend on the assessment of both global and local observables such as tune or resonance driving terms. With most of the observables being a sum of different error sources, careful disentangling is necessary in order to establish an optimal correction and allow for smooth operation. In the LHC, linear coupling has been proven to have a major impact on the beam dynamics and is taken to be one of the main sources of uncertainty when establishing corrections. In this paper an approach to evaluate the change of the Hamiltonian terms with linear coupling is presented. The validity of derived equations is demonstrated on a number of observables and benchmarked against simulations.
Highlights
Beam-based corrections of linear optics and nonlinear dynamics in current and future accelerator projects is of paramount importance to achieve their increasingly ambitious design goals
The evaluation of different error sources such as misalignment or magnetic field errors is based on measurements of either global quantities like the tune, chromaticity, and detuning terms or on local deviation from model values such as β-beating or resonance driving terms (RDT)
On the other hand, tracking studies presented in [21] show a drastic increase of the beam size at the interaction point (IP) if the local coupling bump is introduced, able to explain most of observed luminosity loss
Summary
Beam-based corrections of linear optics and nonlinear dynamics in current and future accelerator projects is of paramount importance to achieve their increasingly ambitious design goals. The ability to determine the contribution of the local coupling to the measured amplitude detuning may prove quite helpful. It was further shown in [10] that measured RDTs change with linear coupling. III, the coupled eigenvalues allow us to express the effect on global and local observables under the influence of local coupling
Sign-in/Register to view highlights & summary 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 callDisclaimer: 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.
