Analysis of Proton Bunch Parameters in the AWAKE Experiment
V. Hafych, A. Caldwell, R. Agnello, C.C. Ahdida, M. Aladi, M.C. Amoedo, Goncalves, Y. Andrebe, O. Apsimon, R. Apsimon, A.-M. Bachmann, M.A., Baistrukov, F. Batsch, M. Bergamaschi, P. Blanchard, P.N. Burrows, B., Buttensch\"on, J. Chappell, E. Chevallay, M. Chung, D.A. Cooke

TL;DR
This paper characterizes the proton bunch parameters in the AWAKE experiment using Bayesian inference to analyze transverse structure data, aiding accurate simulation of the self-modulation process.
Contribution
It introduces a Bayesian model fitting approach to determine proton bunch parameters from transverse structure measurements in the AWAKE experiment.
Findings
Model accurately describes bunch transverse dimensions and divergence.
Method validated on simulated data before application to experimental data.
Provides detailed proton bunch characterization for improved simulation accuracy.
Abstract
A precise characterization of the incoming proton bunch parameters is required to accurately simulate the self-modulation process in the Advanced Wakefield Experiment (AWAKE). This paper presents an analysis of the parameters of the incoming proton bunches used in the later stages of the AWAKE Run 1 data-taking period. The transverse structure of the bunch is observed at multiple positions along the beamline using scintillating or optical transition radiation screens. The parameters of a model that describes the bunch transverse dimensions and divergence are fitted to represent the observed data using Bayesian inference. The analysis is tested on simulated data and then applied to the experimental data.
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