Lévy α-Stable Model for the Non-Exponential Low-|t| Proton–Proton Differential Cross-Section

It is known that the Real Extended Bialas–Bzdak (ReBB) model describes proton–proton (pp) and proton–antiproton (pp¯) differential cross-section data in a statistically non-excludible way, i.e., with confidence level greater than or equal to 0.1% center of mass energy range 546 GeV ≤s≤8 TeV squared four-momentum transfer 0.37 GeV2 ≤ −t 1.2 GeV2. Considering, instead Gaussian, more general Lévy α-stable shape for parton distributions constituent quark diquark inside proton relative separation between them, generalized description obtained, where ReBB corresponds α=2 special case. Extending α<2, we conjecture validity can be extended wider kinematic range, particular, lower values −t. We present formal generalization show simplified version this successfully fitted, non-exponential, low elastic scattering at s=8 TeV.