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arXiv · 2602.21192

Empirical formula for total inelastic cross-section of proton-nucleus scattering

Hemant Kumar·Tanmay Maji·Deepa Gupta·Ashavani Kumar
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Abstract

We propose a generic empirical formula for total inelastic cross-sections for various target nuclei scattered by a proton at different energies, which is applicable over a wide range of energy from $15 ~MeV$ to $1~ TeV$. The proposed model is parameterized based on the fitting of extensively studied experimental cross-section data for the Aluminium and Carbon nucleus targets, considering factorization over high-energy and low-energy regimes. The parameters in high-energy formula are determined by the fitting of the high-energy saturation value of the inelastic scattering cross-section data with mass numbers. The universality of the empirical formula is investigated by comparing the model prediction with the experimental data of inelastic proton-nucleus scattering over a wide range from light elements such as Deuterium to heavy elements such as Uranium. A detailed comparison with the existing models and GEANT4 simulation is also presented.

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Hemant Kumar, Tanmay Maji, Deepa Gupta, Ashavani Kumar. 2026-02-24. Empirical formula for total inelastic cross-section of proton-nucleus scattering. https://arxiv.org/abs/2602.21192

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