Work

Complex logistic equation for universal energy evolution in hadronic elastic scattering

Year: 2026

Type: article

Abstract: We introduce a universal evolution equation for elastic scattering of hadrons, derived from Reggeon field theory and solved in closed analytical form. The equation has a complex logistic structure and evolves initial amplitude profiles from existing models at a fixed energy, reproducing both differential cross sections and integrated quantities over a broad energy range. It admits a unique solution for each initial condition and rigorously satisfies unitarity, the Froissart–Martin bound, and dispersion relations. The dynamics are governed by two physically meaningful parameters: the effective Pomeron mass ε P and the nonlinear coupling λ , both fitted at a single energy. By decoupling the nonperturbative input from the universal energy evolution, the framework enables model-independent extrapolations and provides a minimal predictive alternative to eikonal resummation. Moreover, the structure of the equation—featuring rapidity evolution, saturation, and impact-parameter dependence—shares qualitative features with nonlinear QCD equations at small- x , such as Balitsky-Kovchegov and Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov, and Kovner, suggesting a possible bridge between Regge-based and QCD-based approaches to high-energy scattering.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/xz23-bqg9

Author: Anderson Kendi Kohara

Institutions: Centre National de la Recherche Scientifique, École Polytechnique, Centre de Physique Théorique, Institut Polytechnique de Paris

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: Narodowe Centrum Nauki, Akademia Górniczo-Hutnicza im. Stanislawa Staszica

Award: G2273290721