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In order to confirm the existence of the dibaryon state $d^*(2380)$ observedat WASA@COSY, we estimate the production of the possible dibaryon andanti-dibaryon pair $d^*\bar{d}^*$ at the energy region of the upcomingexperiments at $\bar{\rm{P}}$anda. Based on some qualitative properties of$d^*$ extracted from the analysez in the non-relativistic quark model, theproduction cross section for this spin-3 particle pair are calculated with thehelp of an phenomenological effective relativistic and covariant Lagrangianapproach.

Possible dibaryon production at $\bar{\rm{P}}$anda with a Lagrangian approach