On the binding energy of double Λ hypernuclei in the relativistic mean field theory

We calculate the binding energy of two $\Lambda$ hyperons bound to a nuclear core within the relativistic mean field theory. The starting point is a two-body relativistic equation of the Breit type suggested by the RMFT, and corrected for the two-particle interaction. We evaluate the 2 $\Lambda$ correlation energy and estimate the contribution of the $\sigma^*$ and $\Phi$ mesons, acting solely between hyperons, to the bond energy $\Delta{B_{\Lambda\Lambda}}$ of $^6_{\Lambda\Lambda}He$, $^{10}_{\Lambda\Lambda}Be$ and $^{13}_{\Lambda\Lambda}B$. Predictions of the $\Delta{B_{\Lambda\Lambda}}$ A dependence are made for heavier $\Lambda$-hypernuclei.