Exact treatment of dispersion relations in pp and p p elastic scattering EXACT TREATMENT of DISPERSION RELATIONS in ... E. FERREIRA, A. K. KOHARA, and J. SESMA

Abstract

Proofs are given of exact analytical solutions for general principal value integrations of the dispersion relations of pp and pp scattering amplitudes. The proofs are based on recent developments in the study of properties of the Lerch's transcendent of the mathematical literature. Dispersion relations for the slopes of the amplitudes are mathematically defined and also solved exactly. The results are explicitly expanded, providing an important basis for improvement in the phenomenology of the hadronic interactions.