Shell-model calculations applied to the γ-ray spectroscopy of light Λ hypernuclei

The interpretation of hypernuclear γ-ray data for p-shell hypernuclei in terms of shell-model calculations that include the coupling of Λ- and Σ-hypernuclear states is briefly reviewed with emphasis on the successes and outstanding problems. The extension of the shell-model calculations to sd-shell hypernuclei, motivated by an experiment with a 19F target to be performed at J-PARC with the new Hyperball-J, is outlined including a discussion of both positive-parity and negative-parity states in FΛ19.