Binding energy of double Λ hypernuclei in relativistic mean field theory

We calculate the binding energy of two Lambda hyperons bound to a nuclear core within the relativistic mean field (RMF) theory. The starting point is a two-body relativistic equation of the Breit type suggested by the RMF theory, 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 He-6(Lambda Lambda), Be-10(Lambda Lambda), and B-13(Lambda Lambda). Predictions of the Delta B-Lambda Lambda A dependence are made for heavier Lambda hypernuclei.