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Scaling of the elastic proton-proton cross-section

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arxiv 2501.08398 v2 pith:E3DHWN4F submitted 2025-01-14 hep-ph

classification hep-ph
keywords scalingcross-sectionelasticbumpconsequencesconstantdifferentialdiscuss
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abstract

We discuss scaling properties of the elastic $pp$ cross-section both at the ISR and the LHC. We observe that the ratio of bump to dip positions of the differential cross-section $d\sigma_{\rm el}/dt$ is constant over a wide energy range. We next study the consequences of this property, including geometric scaling at the ISR and new scaling laws at the LHC.

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Cited by 1 Pith paper

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  1. Models for differential cross section in proton-proton scattering and their implications at ISR and LHC energies

    hep-ph 2025-06 reject novelty 3.0 of 10

    Seven flexible exponential parametrizations are fitted to pp elastic scattering data across ISR and LHC energies, and the fitted forms are used to estimate elastic, total, and inelastic cross sections.

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