Bloom-Gilman duality of the nucleon structure function and the elastic peak contribution

TL;DR

This paper investigates Bloom-Gilman duality in the nucleon structure function by analyzing Q^2-behavior of moments, revealing that the elastic peak significantly affects the duality's onset and validity.

Contribution

It demonstrates how including the elastic peak contribution causes violations of Bloom-Gilman duality, refining understanding of the duality's conditions.

Findings

Duality onset around Q^2 ~ 2 (GeV/c)^2 for inelastic contributions

Elastic peak inclusion leads to duality violations

Natchmann moments effectively cancel target-mass effects

Abstract

The occurrence of the Bloom-Gilman duality in the nucleon structure function is investigated by analyzing the Q**2-behavior of low-order moments, both including and excluding the contribution arising from the nucleon elastic peak. The Natchmann definition of the moments has been adopted in order to cancel out target-mass effects. It is shown that the onset of the Bloom-Gilman duality occurs around Q**2 ~ 2 (GeV/c)**2 if only the inelastic part of the nucleon structure function is considered, whereas the inclusion of the nucleon elastic peak contribution leads to remarkable violations of the Bloom-Gilman duality.