An application of the interacting boson model to the first half of the s-d shell

Halse, P.

doi:10.1016/0375-9474(85)90362-8

An application of the interacting boson model to the first half of the s-d shell

P. Halse

1985

20 pages

Published in:

Nucl.Phys.A 445 (1985) 93-112

Published: 1985

DOI:

10.1016/0375-9474(85)90362-8

View in:

Nuclear Science References

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Abstract: (Elsevier)

A version of the IBM (IBM-4) which is intended for use in regions where protons and neutrons are filling the same shells, and incorporates a boson intrinsic spin, is applied in detail to the odd-odd nuclei 22 Na and 26 Al. Satisfactory agreement with the observed energies, moments, and transitions is obtained on the introduction of a strong non-central interaction. The eigenfunctions are well described by an enlarged SU(3) symmetry, corresponding to the coupling of orbital and spin factors, in terms of which the spectra of other sd-shell odd-odd nuclei can also be understood. The observed K -spectra are reproduced most naturally on assuming the conventional value of the boson number N . It is argued that the non-central interaction corresponds to a considerable breaking of the “zeroth-order approximation” in the mapping of the shell-model spin-orbit force.

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