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The paper presents the phenomenological analysis of the energy dependence forthe ratio of elastic to total cross section in proton-proton andantiproton-proton scattering. The analytic functions based on the study of low-and high-energy experimental data for various scattering parameters provide thequantitative description of energy dependence of the ratio with statisticallyacceptable qualities in wide range of collision energy $\sqrt{s} \geq 3$ GeV inthe case of the separate datasets for $pp$, $\bar{p}p$ collisions and at$\sqrt{s} \geq 5$ GeV for the joined experimental data ensemble. Based on thefit results the estimations are derived for the ratio of elastic to total crosssection in $pp$ scattering at various $\sqrt{s}$ up to energy frontier$\sqrt{s}=10$ PeV which can be useful for present and future hadron collidersas well as for cosmic ray measurements at ultra-high energies. The indicationis observed for onset of the asymptotic region at $\sqrt{s} \gtrsim 5-10$ PeVfor the ratio of cross sections under consideration.

The energy dependence of the ratio of elastic to total cross section in $pp$ and $\bar{p}p$ collisions