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. 2018 Apr 19;8:6299. doi: 10.1038/s41598-018-24391-2

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© The Author(s) 2018

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Final energy spread the selected beam as a function of the initial divergence of the protons, for the cases of a mean energy of 10 and 20 MeV. The cases of 0.5, 1, 3, 5 and 10 mrad have been analyzed with TSTEP simulations. The green and blue curve have been obtained by interpolating the values of the final energy spread as obtained by the simulations.