\begin{document}$ d^*(2380) $\end{document} observed at WASA@COSY, we estimate the cross section for production of the possible dibaryon and anti-dibaryon pair \begin{document}$ {d^*}{\bar{d}^*} $\end{document} in the energy region of the upcoming experiments at \begin{document}$ {\bar{{\rm{P}}}} $\end{document}anda. Based on some qualitative properties of \begin{document}$ {d^*} $\end{document} extracted from the analyses in the non-relativistic quark model, the production cross section for this spin-3 particle pair are calculated with the help of a phenomenological effective relativistic and covariant Lagrangian approach."> Possible dibaryon production at <inline-formula><tex-math id="Z-20211218134609">\begin{document}${{\overline {\bf P} }}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/ea8a7d82-fd20-423b-8d91-8ff2155fa2c4/CPC-2021-0412_Z-20211218134609.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/ea8a7d82-fd20-423b-8d91-8ff2155fa2c4/CPC-2021-0412_Z-20211218134609.png"/></alternatives></inline-formula>anda with a Lagrangian approach -
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