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