Total cross section of the process $e^+ + e^- \to \Sigma^+ + \bar{\Sigma}^-$ including the $D$-meson loop and three-gluon contributions

TL;DR

This paper calculates the total cross section for $e^+e^- o \Sigma^+ ar{\Sigma}^-$ considering $D$-meson loop and three-gluon contributions, matching experimental data and fitting the hyperon form factor.

Contribution

It introduces a comprehensive phenomenological model including $D$-meson and three-gluon loops for hyperon pair production at high energies, accounting for multiple charmonium states.

Findings

Results agree well with experimental data.

Large relative phases are generated between contributions.

Fitted electromagnetic form factor of the $\Sigma$ hyperon.

Abstract

In the present paper, we investigate the production of a baryon pair in $e^+e^-$ annihilation to study the structure of baryons. To study the basic structure of the Standard Model, it is also necessary to consider the baryon-antibaryon pair production at the electron-positron linear collider. The production of a baryon pair in electron-positron annihilation provides a powerful tool at higher center-of-mass energies. In this work, we present phenomenological results for $\Sigma^+ \bar {\Sigma}^-$ production in $e^+e^-$ collision at the BESIII Collider. We investigate a hyperon pair produced in the reaction $e^+e^- \to \Sigma^+ \bar{\Sigma}^-$. Two different contributions are considered: the $D$ meson loop and the three-gluon charmonium annihilation loop. Taking into account the contributions of the $D$-meson loop and three-gluon loops and the interference of all diagrams, we calculate the total cross section of the process $e^+e^- \to \Sigma^+ \bar{\Sigma}^-$. With respect to a purely electromagnetic mechanism, large relative phases are generated for these contributions. We obtain as a byproduct a fit of the electromagnetic form factor of the $\Sigma$ hyperon for a large momentum transferred region. In this process, in addition to $\psi(3770)$ charmonium, we also take into account the contributions of other charmonium (-like) states, $\psi(4040)$, \,\,$\psi(4160)$, \,\,$Y(4230)$,\,\,$Y(4360)$,\,\,$\psi(4415)$, and $Y(4660)$. The obtained results are in good agreement with experimental data.