Cross section of the process $e^+ + e^- \to \Xi^0 + \bar{\Xi}^0$ including three-gluon and $D$-meson loop contributions

TL;DR

This paper calculates the cross section for $e^+e^- o \\Xi^0 \\bar{\\Xi}^0$ including $D$-meson and three-gluon loop contributions, fitting experimental data and exploring charmonium state effects in baryon production.

Contribution

It introduces a comprehensive calculation of the cross section with loop contributions and interference effects, considering multiple charmonium states, advancing understanding of hyperon production mechanisms.

Findings

Results agree well with experimental data.

Large relative phases are generated among contributions.

Electromagnetic form factor fitted for large momentum transfer.

Abstract

In this paper, we investigate the production of a $\Xi^0 \bar{\Xi}^0$ using $e^+e^-$ collision data at ten center-of-mass energies between 3.51 and 4.95 GeV collected with the BESIII detector at the BEPCII collider and corresponding to an integrated luminosity of 30 $\rm{fb}^{-1}$ to study the structure of baryons. The data collected by the BESIII detector are useful for the study of XYZ states, and this collaboration continues the exploration of these exotic charmonium-like states. We explore a hyperon pair produced in the electron-positron annihilation reactions. In the present paper we present the phenomenological results of our studies on the production of $\Xi^0 \bar{\Xi}^0$ in $e^+e^-$ annihilation at the BESIII detector at the BEPCII Collider. In the reaction $e^+e^- \to \Xi^0 \bar{\Xi}^0$, we consider two different contributions: one from the $D$ meson loop and the ofther from the three-gluon charmonium annihilation. We compute the total cross section of the process $e^+e^- \to \Xi^0 \bar{\Xi}^0$ including the contributions of the $D$-meson loop and three-gluon loops as well as the interference of all diagrams. As for the purely electromagnetic mechanism, large relative phases are generated for these contributions. For a large momentum transferred region we get as a byproduct a fit of the electromagnetic form factor of the $\Xi^0$ - hyperon. In this paper, in addition to the $\psi(3770)$ charmonium, we also take into account the contributions of other charmonium (-like) states, such as $\psi(4040)$, $\psi(4160)$, $Y(4230)$, $Y(4360)$, $\psi(4415)$, and $Y(4660)$. On the whole our results are in good agreement with the available experimental data.