Nucleon form factors and final state radiative corrections to $e^+e^-\to \bar p p \gamma$

TL;DR

This paper introduces new parametrizations for proton and neutron form factors that align with recent experimental data and implements them into a simulation generator to study the effects of final state radiation in electron-positron collisions.

Contribution

It provides updated form factor parametrizations consistent with recent measurements and incorporates them into the PHOKHARA generator for improved simulation accuracy.

Findings

Form factors agree with recent BaBar measurements

Neutron form factors are consistent with earlier data

Final state radiation effects are analyzed

Abstract

New parametrisation for the electric and the magnetic form factors of proton and neutron are presented. The proton form factors describe well the recent measurements by BaBar collaboration and earlier ones of the ratio of the form factors in space-like region. The neutron form factors are consistent with earlier measurements of neutron pair production and ratio of the form factors in the space-like region. These form factors are implemented into the generator PHOKHARA, which simulates the reactions $e^+e^-\to \bar p p \gamma$ and $e^+e^-\to \bar n n\gamma$. The influence of final state radiation is investigated.