Signs of universality in the behavior of elastic $\text{pp}$ scattering cross-sections at high energies

Abstract

We give a phenomenological analysis of the behavior of inelastic, elastic and total cross-sections of the high energy $\text{pp}$ 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 ${\sigma }_{\mathrm{el}}(s)$. We observed that the value of the fundamental ratio $(m_{{\pi }^0}/m_p)$, the minimum value of the ratio $({\sigma }_{\mathrm{el}}/{\sigma }_{\mathrm{tot}})$, and some other quantities are determined by the roots of the equation $(9x^2+4\sqrt{2}x-1)=0$.

11 pages, 3 figures

References in corpus (4)

• Measurement of the total cross section and $\rho$-parameter from elastic scattering in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• An upper bound on the total inelastic cross-section as a function of the total cross-section
• Results on Total and Elastic Cross Sections in Proton-Proton Collisions at $\sqrt{s}=200$ GeV
• Two diffraction cones of elastic scattering and structural symmetry conjecture