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Microscopic shell-model and cluster-model calculations of the 13C → 12C + n and 8B → 7Be + p vertex constants

par Timofeyuk, Natalia ;Baye, Daniel Jean ;Descouvemont, Pierre
Référence Nuclear physics. A, 620, 1, page (29-45)
Publication Publié, 1997

Article révisé par les pairs

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Résumé :

Vertex constants are calculated with an effective nucleon-nucleon interaction and translation-invariant harmonic-oscillator shell-model wave functions consistently obtained with the same interaction. Such calculations are presented for the 13C → 12C + n vertex constant for which an accurate experimental value is available, and for the 8B → 7Be+p vertex constant, which is crucial for the determination of the 7Be(p, γ)8B reaction at astrophysical energies. Calculations confirm the strong sensitivity of vertex constants to the choice of the effective nucleon-nucleon interaction. A comparison of vertex constants obtained in the shell-model approach and in microscopic two- and three-cluster models with identical nucleon-nucleon potentials shows that the main contribution to the cluster-model vertex constants comes from the shell-model parts of the cluster-model wave functions. The reliability of model calculations of the 7Be(p, γ)8B astrophysical S factor is discussed. © 1997 Elsevier Science B.V.