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

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 $\hat{I}{\pounds }^{+}\bar{\hat{I}}{\pounds }^{-}$ production in $e^{+}{e}^{-}$ collision at the BESIII Collider. We investigate a hyperon pair produced in the reaction $e^{+}{e}^{-}\to \hat{I}{\pounds }^{+}\bar{\hat{I}}{\pounds }^{-}$. 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 $e^{+}{e}^{-}\to \hat{I}{\pounds }^{+}\bar{\hat{I}}{\pounds }^{-}$. 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 $\hat{I}\pounds$ hyperon for a large momentum transferred region. In this process, in addition to $\ddot{I}ˆ(3770)$ charmonium, we also take into account the contributions of other charmonium (-like) states, $\ddot{I}ˆ(4040)$, \,\,$\ddot{I}ˆ(4160)$, \,\,$Y(4230)$,\,\,$Y(4360)$,\,\,$\ddot{I}ˆ(4415)$, and $Y(4660)$. The obtained results are in good agreement with experimental data.

32 pages, 18 figures