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Model-Independent Femtoscopic Lévy Imaging for Elastic Proton-Proton Scattering

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Abstract

A model independent Lévy expansion method is introduced to describe nearly Lévy shaped squared moduli of Fourier transforms. We apply this method to precisely characterize the most recent elastic scattering data of proton-proton collisions at \(\sqrt s = 13\) TeV. The results reveal a substructure of protons, which is found to be significantly larger and darker in high energy proton-proton collisions at the TeV scale, as compared to a rather faint and apparently overlooked substructure, that we also identify in elastic proton-proton scattering at the ISR energy range of \(\sqrt s = 23{\kern 1pt} - {\kern 1pt} 62\) GeV.

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ACKNOWLEDGMENTS

T. Cs. thanks to R.J. Glauber for inspiring discussions and for proposing a series expansion to describe elastic scattering. We acknowledge inspiring discussions with S. Giani, W. Guryn, G. Gustafson, L. Lönnblad, K. Österberg and M. Šumbera and thank the TOTEM Collaboration for making their preliminary data set available for us.

Funding

R. P. is partially supported by the Swedish Research Council grants nos. 621-2013-4287 and 2016-05996, by an ERC H2020 grant no. 668679, as well as by the Ministry of Education, Youth and Sports of the Czech Republic project LT17018. T. Cs. and A. S. were partially supported by the NKIFH grants nos. FK-123842 and FK-123959, and by the EFOP 3.6.1-16-2016-00001 grant (Hungary) and the NKM-92/2017 projects of the Hungarian and the Ukrainian Academy of Sciences. Our collaboration was supported by THOR, the EU COST Action CA15213.

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Authors and Affiliations

  1. CERN, CH-1211, Geneva 23, Switzerland

    T. Csörgő

  2. EKE KRC, H-3200, Gyöngyös, Hungary

    T. Csörgő

  3. Wigner FK, H-1525, Budapest, P.O. Box 49, Hungary

    T. Csörgő & A. Ster

  4. Department of Astronomy and Theoretical Physics, Lund University, SE-223 62, Lund, Sweden

    R. Pasechnik

  5. Nuclear Physics Institute ASCR, 25068, Řež, Czech Republic

    R. Pasechnik

  6. Departamento de Física, CFM, Universidade Federal de Santa Catarina, C.P. 476, SC, CEP 88.040-900, Florianópolis, Brazil

    R. Pasechnik

Authors
  1. T. Csörgő
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  2. R. Pasechnik
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  3. A. Ster
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Correspondence to T. Csörgő, R. Pasechnik or A. Ster.

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Csörgő, T., Pasechnik, R. & Ster, A. Model-Independent Femtoscopic Lévy Imaging for Elastic Proton-Proton Scattering. Phys. Part. Nuclei 51, 227–231 (2020). https://doi.org/10.1134/S1063779620030107

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