Phenomenological analysis claims high-energy pp cross-section ratios and the pion-proton mass ratio are determined by roots of 9x² + 4√2 x -1 =0 due to inelastic cross-section dominance.
Martin, A Lower Bound for Elastic Cross-Sections in the High-Energy Region, Nuovo Cimento 29 (1963) 993
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Signs of universality in the behavior of elastic $\textit{pp}$ scattering cross-sections at high energies
Phenomenological analysis claims high-energy pp cross-section ratios and the pion-proton mass ratio are determined by roots of 9x² + 4√2 x -1 =0 due to inelastic cross-section dominance.