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Odderon and proton substructure from a model-independent Lévy imaging of elastic pp and pp¯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p\bar{p}$$\end{document} collisions

Authors
  • Csörgő, T.1, 2, 3
  • Pasechnik, R.4, 5
  • Ster, A.1
  • 1 MTA WIGNER FK, Budapest 114, 1525, Hungary , Budapest 114 (Hungary)
  • 2 EKU KRC, Mátrai út 36, Gyöngyös, 3200, Hungary , Gyöngyös (Hungary)
  • 3 CERN, Geneva 23, 1211, Switzerland , Geneva 23 (Switzerland)
  • 4 Lund University, Department of Astronomy and Theoretical Physics, Lund, 223 62, Sweden , Lund (Sweden)
  • 5 Nuclear Physics Institute ASCR, Řež, 25068, Czech Republic , Řež (Czechia)
Type
Published Article
Journal
The European Physical Journal C
Publisher
Springer-Verlag
Publication Date
Jan 28, 2019
Volume
79
Issue
1
Identifiers
DOI: 10.1140/epjc/s10052-019-6588-8
Source
Springer Nature
License
Green

Abstract

We describe a new and model-independent Lévy imaging method of quality fits to the published datasets and reconstruct the amplitude of high-energy pp and pp¯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p\bar{p}$$\end{document} elastic scattering processes. This method allows us to determine the excitation function of the shadow profile P(b), the elastic slope B(t) and the nuclear phase ϕ(t)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\phi (t)$$\end{document} functions of pp and pp¯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p\bar{p}$$\end{document} collisions directly from the data. Surprisingly, notable qualitative differences in B(t) for pp and for pp¯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p\bar{p}$$\end{document} collisions point towards an Odderon effect. As a by-product, we clearly identify the proton substructure with two different sizes at the ISR and LHC energies, that has striking similarity to a dressed quark (at the ISR) and a dressed diquark (at the LHC). We present model-independent results for the corresponding sizes and cross-sections for such a substructure for the existing data at different energies.

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