Lévy \(\alpha\)-stable model for the non-exponential low-\(|t|\) proton-proton differential cross section

It is known that the Real Extended Bialas-Bzdak (ReBB) model describes the proton-proton (\(pp\)) and proton-antiproton (\(p\bar p\)) differential cross-section data in a statistically non-excludible way,\linebreak i.e., with a confidence level greater than or equal to 0.1\% in the center of mass en...

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Bibliographic Details
Published in:arXiv.org 2023-08
Main Authors: Csörgő, T, Hegyi, S, Szanyi, I
Format: Article
Language:English
Subjects:
Antiparticles
Antiprotons
Confidence intervals
Elastic scattering
Kinematics
Momentum transfer
Partons
Proton scattering
Scattering cross sections
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Summary:It is known that the Real Extended Bialas-Bzdak (ReBB) model describes the proton-proton (\(pp\)) and proton-antiproton (\(p\bar p\)) differential cross-section data in a statistically non-excludible way,\linebreak i.e., with a confidence level greater than or equal to 0.1\% in the center of mass energy range \linebreak 546 GeV \(\leq\sqrt{s}\leq\) 8 TeV and in the squared four-momentum transfer range 0.37 GeV\(^2\) \(\leq -t\leq\) 1.2 GeV\(^2\). Considering, instead of Gaussian, a more general Lévy \(\alpha\)-stable shape for the parton distributions of the constituent quark and diquark inside the proton and for the relative separation between them, a generalized description of data is obtained, where the ReBB model corresponds to the \(\alpha =\) 2 special case. Extending the model to \(\alpha
ISSN:2331-8422
DOI:10.48550/arxiv.2308.05000