Manifestation of Quark-Hadron Duality in e+e− Annihilation into Hadrons

Abstract

The Adler D-function which appears in the process of the e+e− annihilation into hadrons is of interest from the point of view of quark-hadron duality, as this function turned out to be a smooth function with no traces of a resonance structure which is observed for the function R(s), the normalized cross-section for the process of e+e− annihilation into hadrons. We consider various physical quantities and functions generated by R(s) and obtain good agreement between our results and experimental data down to the lowest energy scale. We found that the reason of such consent is a consequence of quark-hadron duality, which connects the R(s) and the D-function.