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

Abstract

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 ${\sigma }^{\ast }$ and $\Phi$ mesons, acting solely between hyperons, to the bond energy $\Delta B_{\Lambda \Lambda }$ of ${}_{\Lambda \Lambda }^{6}He$, ${}_{\Lambda \Lambda }^{10}Be$ and ${}_{\Lambda \Lambda }^{13}B$. Predictions of the $\Delta B_{\Lambda \Lambda }$ A dependence are made for heavier $\Lambda$-hypernuclei.

Comments: 15 pages, RevTeX, 2 Postscript figures, submitted Phys. Rev. C