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.
Adam et al., Results on total and elastic cross sections in proton–proton collisions at √ s = 200 GeV , Phys
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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.