A systematic study on the binding energy of Λ hypernuclei

We calculate the binding energy per baryon of the Λ hypernuclei systematically, using the relativistic mean field theory (RMF) in a static frame. Some similar properties are found for most of the Λ hypernuclei confirmed by experiments. The data show that a Λ hypernucleus will be more stable if it is made by adding a Λ hyperon to a stable normal nuclear core, or by replacing a neutron by a Λ hyperon to a stable normal nuclear core. According to our calculations, the existence of some new Λ hypernuclei are predicted under the frame of RMF.