https://doi.org/10.1140/epjp/s13360-020-00123-2
Regular Article
Analysis of the non-linear beam dynamics at top energy for the CERN Large Hadron Collider by means of a diffusion model
1
Physics and Astronomy Department, Bologna University and INFN-Bologna, Bologna, Italy
2
Beams Department, CERN, 1211, Geneva 23, Switzerland
3
University of Malta, Msida, Malta
* e-mail: massimo.giovannozzi@cern.ch
Received:
26
July
2019
Accepted:
3
January
2020
Published online:
16
January
2020
In this paper, the experimental results of the recent dynamic aperture at top energy for the CERN Large Hadron Collider are analysed by means of a diffusion model whose novelty consists of deriving the functional form of the diffusion coefficient from Nekhoroshev theorem. This theorem provides an optimal estimate of the remainder of perturbative series for Hamiltonian systems. As a consequence, a three-parameter diffusion model is built that reproduces the experimental results with a high level of accuracy. A detailed discussion of the physical interpretation of the proposed model is also presented.
© The Author(s), 2020
