Signs of universality in the behavior of elastic $\textit{pp}$ scattering cross-sections at high energies
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866908965696176128 |
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| author | Samokhin, A. P. |
| author_facet | Samokhin, A. P. |
| contents | We give a phenomenological analysis of the behavior of inelastic, elastic and total cross-sections of the high energy $\textit{pp}$ interaction. In particular, we argue that the universal picture of behavior of cross-sections and their ratios is a consequence of the rapid increase of inelastic cross-section with energy and its large value compared to $σ_{\mathrm{el} }(s)$. We observed that the value of the fundamental ratio $(m_{π^{\mathrm{0}}}/m_{p}) $, the minimum value of the ratio $ (σ_{\mathrm{el}}/σ_{\mathrm{tot}})$, and some other quantities are determined by the roots of the equation $ (9\,x^{2}+4\,\sqrt{2}\,x-1)=0 $. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_18061 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Signs of universality in the behavior of elastic $\textit{pp}$ scattering cross-sections at high energies Samokhin, A. P. High Energy Physics - Phenomenology We give a phenomenological analysis of the behavior of inelastic, elastic and total cross-sections of the high energy $\textit{pp}$ interaction. In particular, we argue that the universal picture of behavior of cross-sections and their ratios is a consequence of the rapid increase of inelastic cross-section with energy and its large value compared to $σ_{\mathrm{el} }(s)$. We observed that the value of the fundamental ratio $(m_{π^{\mathrm{0}}}/m_{p}) $, the minimum value of the ratio $ (σ_{\mathrm{el}}/σ_{\mathrm{tot}})$, and some other quantities are determined by the roots of the equation $ (9\,x^{2}+4\,\sqrt{2}\,x-1)=0 $. |
| title | Signs of universality in the behavior of elastic $\textit{pp}$ scattering cross-sections at high energies |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2602.18061 |