  It is shown how the recent shell-model determination of Lambda-N spin
dependent interaction terms in Lambda hypernuclei allows for a reliable
deduction of Lambda-Lambda separation energies in Lambda-Lambda hypernuclei
across the nuclear p shell. Comparison is made with the available data,
highlighting 11(Lambda-Lambda)Be and 12(Lambda-Lambda)Be which have been
suggested as possible candidates for the KEK-E373 Hida event.
