A shell-model analysis of Λ binding energies for the p-shell hypernuclei II. Numerical Fitting, Interpretation, and Hypernuclear Predictions

A phenomenological analysis of the Λ binding energies known for the p-shell hyper nuclei is given in terms of their representation by the shell-model configuration {(1s)_N⁴(1p)_N^A-5(1s)_Λ}, using the formalism set up in Part I. The ΛN interactions are described quite generally by five free parameters, and the inclusion of ΛNN interactions with the forms arising through the double-OPE mechanism requires five further parameters. Various constraints motivated by theoretical arguments concerning the nature of ΛN and ΛNN interactions are imposed on these parameters, and best fits are then obtained for them following a minimization procedure. A good and economical fit to these data is obtained for a parameter set in good accord with our theoretical notions about these interactions (although the fit otherwise most attractive does require ΛN spinorbit forces with sign opposite those known for the NN system). On the basis of these fits to the B_Λ data, a discussion is given of the energy-level spectra for the p-shell hypernuclei, of isomeric states for _Λ⁷He^* and _Λ⁷Li^*, and of the resulting predictions for the properties of the Λ hypernuclei corresponding to core nuclei assigned to the p _{1 2} shell.