A shell-model analysis of Λ binding energies for the p-shell hypernuclei III. Further analysis and predictions

A simplified phenomenological analysis of the Λ binding energies for the p-shell hypernuclei is given on the basis of the shell-model configuration (1s)_N⁴(1p)_N^A?5(1s)_Λ], using the intermediate-coupling formalism set up in Part I, assuming the ΛNN interaction Q₀₀⁰ of central form (as motivated by the double-OPE mechanism), and taking into account the new data recently available about several $\text{p}{}_{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{-shell}$ hypernuclei. The systematics of the mass matrix for p-shell Λ hypernuclei are discussed in some detail. The fit obtained has only moderate strengths for the (ΛN) spin-orbit and (ΛNN) three-body interactions and requires rather little mixing of different nuclear core states into the hypernuclear wavefunctions, except for the special case _Λ⁸Li. The implications of this fit are spelled out for the well-known hypernuclear species. A discrepancy between the wavefunction calculated here for _Λ⁸Li and the characteristics of the decay _Λ⁸Li → ααπ^? is emphasized, as is also the need for Λ hypernuclear γ-ray data.