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. 2022 Sep 3;13:5205. doi: 10.1038/s41467-022-32780-5

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© The Author(s) 2022

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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Fig. 4 — Retrieved phase contribution from the short-range potential δ_λ for the s- and d-channel (green and blue respectively) as a function of kinetic energy. The contributions from the Coulomb phase and the centrifugal potential are subtracted from the experimentally retrieved one-photon phases (triangles) and compared to calculations from Kennedy and Manson⁵⁰ (solid lines) as well as predictions from quantum defect theory at threshold (squares). The error bars indicate the standard deviation as explained in Supplementary Note 4.