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Cross section of the process $e^{+} + e^{-} \to Ξ^{0} + {\bar{Ξ}}^{0}$ in the vicinity of charmonium $ψ (3770)$ and in the charmonium (-like) state including the $D$ -meson loop and three-gluon contributions

Institute of Physics, Ministry of Science and Education, H. Javid Avenue 131, AZ1143 Baku, Azerbaijan and Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna 141980, Russia

^*Contact author: ahmadov@theor.jinr.ru

Phys. Rev. C 113, 055203 – Published 4 May, 2026

DOI: https://doi.org/10.1103/8mzl-fltk

Abstract

In the present work, I explore the production of $Ξ^{0} {\bar{Ξ}}^{0}$ 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 ${fb}^{- 1}$ 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 charmoniumlike states. At higher center-of-mass energies the baryon-antibaryon pair production in electron-positron annihilation provides a powerful tool. In this paper, I investigate a hyperon pair produced in the electron-positron annihilation reactions, and I present the phenomenological results for the process using the BESIII detector at the BEPCII collider. In the reaction $e^{+} e^{-} \to Ξ^{0} {\bar{Ξ}}^{0}$ , I consider two different contributions: one from the $D$ -meson loop and the other from the three-gluon charmonium annihilation. In this process I calculate the total cross section including the contributions of the $D$ -meson loop and three-gluon loops as well as the interference of all diagrams. In the case of a purely electromagnetic mechanism for these contributions, large relative phases are generated. For a large momentum transferred region I get as a byproduct a fit of the electromagnetic form factor of the $Ξ^{0}$ hyperon. In the present work, in addition to the $ψ (3770)$ charmonium, I also take into account the contributions of other charmonium (-like) states, such as $ψ (4040)$ , $ψ (4160)$ , $Y (4230)$ , $Y (4360)$ , $ψ (4415)$ , and $Y (4660)$ . On the whole my results are in good agreement with the available experimental data.

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Phys. Rev. C 113, 055203– Published 4 May, 2026

Vol. 113, Iss. 5 — May 2026

Received 16 October 2025
Accepted 17 March 2026

DOI: https://doi.org/10.1103/8mzl-fltk

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP³.

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Cross section of the process $e^{+} + e^{-} \to Ξ^{0} + {\bar{Ξ}}^{0}$ in the vicinity of charmonium $ψ (3770)$ and in the charmonium (-like) state including the $D$ -meson loop and three-gluon contributions

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Cross section of the process e++e−→Ξ0+Ξ¯0 in the vicinity of charmonium ψ(3770) and in the charmonium (-like) state including the D-meson loop and three-gluon contributions

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References (83)

Cross section of the process $e^{+} + e^{-} \to Ξ^{0} + {\bar{Ξ}}^{0}$ in the vicinity of charmonium $ψ (3770)$ and in the charmonium (-like) state including the $D$ -meson loop and three-gluon contributions