Elsevier

Nuclear Physics

Volume 13, Issue 3, 1 November 1959, Pages 350-359
Nuclear Physics

Spin-orbit splittings in nuclei (II)

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Abstract

The j-doublet splittings of single-particle nuclear levels are calculated in terms of the effective two-body spin-orbit interaction operator - the reaction matrix. The recent result of Brueckner et al. is used for the odd-state KLS-operator corresponding to Gammel-Thaler potentials. On the same basis the even-state KLS+ is neglected. The exchange amplitudes of the KLS-operator are taken into account and also the “higher derivative” terms. The self-consistent nuclear density of the Ca40-nucleus and other forms of this density are used to calculate the doublt splittings of Ca41. Satisfactory results are obtained. The doublet splittings of the nuclei Pb209, Bi209, O17 and He5 are discussed. A discussion is presented of the spin-orbit splittings in spheroidally deformed nuclei.

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  • Cited by (1)

    Supported in part by the U.S. Atomic Energy Commission and the Higgins Scientific Trust Fund.

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