A Shell Model Analysis of Lambda Binding Energies for the p Shell Hypernuclei. 3. Further Analysis and Predictions
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Abstract: (Elsevier)
A simplified phenomenological analysis of the Λ binding energies for the p-shell hypernuclei is given on the basis of the shell-model configuration [(1 s ) N 4 (1p) N A −5 (1s) Λ ], using the intermediate-coupling formalism set up in Part I, assuming the ΛNN interaction Q 00 0 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 Λ 8 Li. The implications of this fit are spelled out for the well-known hypernuclear species. A discrepancy between the wavefunction calculated here for Λ 8 Li and the characteristics of the decay Λ 8 Li → ααπ − is emphasized, as is also the need for Λ hypernuclear γ-ray data.- LAMBDA: HYPERNUCLEUS
- NUCLEON LAMBDA: POTENTIAL
- EXCHANGE: TWO-PION
- LAMBDA: BINDING ENERGY
- shell model
- LAMBDA: LITHIUM
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