Low-energy Lambda p scattering and p-shell hypernuclei

Phenomenological two-body central Lambda N potentials with possible state and spin dependence but without any hard or soft cores are used to analyse the existing low-energy Lambda p scattering data. The object is to see how far these free-state Lambda N potentials can account for the BLambda data of p-shell hypernuclei, Lambda 5He and Lambda binding to infinite nuclear matter when a suitable three-body Lambda NN force is added to these two-body potentials. The main aim of this work is to point out that by adding the Lambda NN force it is possible to choose effective Lambda N potentials whose two-body part is the same as the free Lambda N potential. The authors are able to find several such potentials. Out of many equivalent parameter sets accurate F/B data may place severe limitations on the l=1 part of the potentials, thus eliminating unphysical parameter sets. Therefore, a strong case is made for obtaining accurate F/B data.

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