Light exotic -hypernuclei

The structure of light proton-rich Lambda-hypernuclei is addressed in the framework of the HartreeFock approach with effective potentials in the Skyrme form. We argue that the C-9(Lambda) hypernucleus is bound contrary to its nuclear core C-8. Proton-rich boron, nitrogen and oxygen hypernucleus with unstable cores are shown to remain unbound. We check also Lambda Lambda hypernuclei with proton-rich unstable cores.