Elsevier

Nuclear Physics

Volume 46, July–September 1963, Pages 181-192
Nuclear Physics

Nucleon-nucleon potential from shell model calculations for doublet splittings

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Abstract

The residual interaction responsible for the occurence of certain closely spaced doublets in nuclei with a p12-nucleon coupled to a “core” of spin j is sought to be represented by an effective nucleon-nucleon potential. After justifying the dropping of the hard core and the non-central terms, the two-body potential is chosen to be static, non-singular and central in character. The radial dependence is chosen to be of the Gaussian form. The relation between the parameters of an explicitly spin-dependent potential and those of the general exchange mixture is pointed out. The potential parameters are fixed by comparison of the observed splitting for p12-doublets with the theoretical results. The splittings for doublets in the T = 1 isobaric state occuring in the neutron-neutron or proton-proton system are satisfactorily explained assuming a Serber exchange mixture although a sizable triplet odd force is not ruled out. The results obtained from such systems are compared with those from the neutron-proton system to fix the parameters for the spin-dependent potential. Several levels or doublets in the nuclei Y88, Zr90, Nb90 etc. are predicted. The extension of the treatment to three-particle doublets is discussed for the levels of Nb91.

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