Analysis of p-shell hypernuclei with effective λ-nucleon potentials

Abstract

By considering the variation in core size, the Lambda wavefunction, and accounting approximately for the centre-of-mass (CM) energy with mass number. The authors have analysed the Lambda binding energy of p-shell hypernuclei with charge-independent, central, spin- and state-dependent effective Lambda -nucleon potentials of gaussian form and Skyrme type within the shell-model framework. The fits to the data in the present analysis indicate that in earlier analyses (Lee et al. 1970, Gal et al. 1971, 1972) the roles of non-central and three-body forces have been over-emphasised, and so it is hard to place much reliance on the matrix elements of the Lambda -nucleon force. Alternatively one may say that the effect of the non-central and three-body forces can be simulated by the spin and state dependence of the interaction. The effective potentials so obtained are used to estimate the well depth of Lambda in nuclear matter and are found to give values in close agreement with the empirical estimates.