On a microscopic interpretation of the IBM in the sd shell

doi:10.1016/0370-2693(85)91343-7

Physics Letters B

Volume 156, Issues 1–2, 13 June 1985, Pages 1-6

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Abstract

An OAI-like mapping procedure is used to explicitly construct sd shell model analogues of IBM-4 states corresponding to the lowest levels of ²⁰Ne and ²⁰O. Overlaps with shell model SU(3) wavefunctions are evaluated. The “boson” subspace is generally well separated but has a low overlap with the “²⁰Ne” 0₂⁺ band.

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Cited by (11)

On the validity of pair truncation for rotational nuclei. A pseudo-SU(3) model
1991, Nuclear Physics, Section A
The validity of the S- and D-pair description of low-energy collective states is examined in a pseudo-SU(3) model. A direct comparison of the exact eigenstates with states constituting the SD subspace reveals for which levels in the low-energy bands S- and D-pairs are indeed important components. It is found that the ground-band levels have a significant and reasonably constant SD content for all angular momenta up to and including the IBM cutoff. However, for the lowest excited K = 0 and K = 2 bands, SD components do not play a dominant role.
β-Decay and the structure of light nuclei
1989, Annals of Physics
An analysis of Gamow-Teller β-decay data is used to derive information on the structure of J = 1 levels in sd-shell T = 0 odd-odd nuclei within the context of an extended Interacting Boson Model (IBM-4), in particular on the relation of their orbital wavefunctions to those of levels in the neighboring T = 1 systems. The data systematically indicate that the orbital wavefunctions of the even-even ground states are generally those of levels at high excitation in the odd-odd nuclei. Predictions are made for which even-even states do have similar orbital structure to the odd-odd ground states.
Exact boson mappings for nuclear neutron (proton) shell-model algebras having SU(3) subalgebras
1986, Annals of Physics
In this paper the commutation relations of the fermion pair operators of identical nucleons coupled to spin zero are given for the general nuclear major shell in LST coupling. The associated Lie algebras are the unitary symplectic algebras Sp(2M). The corresponding multipole subalgebras are the unitary algebras U(M), which possess SU(3) subalgebras. Number conserving exact boson mappings of both the Dyson and hermitian form are given for the nuclear neutron (proton) s−d, p−f, s−d−g, and p−f−h shells, and their group theoretical structure is emphasized. The results are directly applicable in the case of the s−d shell, while in higher shells the experimentally plausible pseudo-SU(3) symmetry makes them applicable. The final purpose of this work is to provide a link between the shell model and the Interacting Boson Model (IBM) in the deformed limit. As already implied in the work of Draayer and Hecht, it is difficult to associate the boson model developed here with the conventional IBM model. The differences between the two approaches (due mainly to the effects of the Pauli principle) as well as their physical implications are extensively discussed.
On the OAI mapping for a j = 13 2 shell
1986, Nuclear Physics, Section A
An application of the interacting boson model to the first half of the s-d shell. (II). Odd-odd nuclei
1985, Nuclear Physics, Section A
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 ²²Na and ²⁶Al. 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.
Nucleon form factors
1989, Nuclear Physics, Section A

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On a microscopic interpretation of the IBM in the sd shell

Abstract

Prog. Part. Nucl. Phys.

Nucl. Phys.

Nucl. Phys.

Prog. Part. Nucl. Phys.

Nucl. Phys.

Nucl. Phys.

Phys. Lett.

Ann. Rev. Nucl. Part. Sci.