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 $\sigma_{ \mathrm{ el} }(s)$. We observed that the value of the fundamental ratio $(m_{ \pi^{ \mathrm{ 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 $ (9\,x^{ 2}+4\,\sqrt{ 2}\,x-1)=0 $.
Categories: hep-ph