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

A. Gal*, J. M. Soper, R. H. Dalitz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

73 Scopus citations

Abstract

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)NA-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 p 1 2-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.

Original languageEnglish
Pages (from-to)79-97
Number of pages19
JournalAnnals of Physics
Volume113
Issue number1
DOIs
StatePublished - Jul 1978

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