Quadrupole properties of the eight SU(3) algebras in (sdgi) space
With nucleons occupying an oscillator shell η , there are 2 [ η/ 2] number of SU (3) algebras; [ η/ 2] is the integer part of η ∕2. Analyzing the first non-trivial situation with four SU (3) algebras in ( sdg ) space, demonstrated recently is that they generate quite different quadrupole properties...
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Published in | The European physical journal. ST, Special topics Vol. 229; no. 14-15; pp. 2389 - 2403 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.10.2020
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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Summary: | With nucleons occupying an oscillator shell
η
, there are 2
[
η/
2]
number of
SU
(3) algebras; [
η/
2] is the integer part of
η
∕2. Analyzing the first non-trivial situation with four
SU
(3) algebras in (
sdg
) space, demonstrated recently is that they generate quite different quadrupole properties though they all generate the same spectrum. More complex situation is with eight
SU
(3) algebras in (
sdgi
) space. In the present work, quadrupole properties generated by these eight algebras are analyzed first using the more analytically tractable interacting boson model. In addition, shell model and the closely related deformed shell model are used with three examples of nucleons in (
sdgi
) space. It is found that in general six of the
SU
(3) algebras generate prolate shape and two oblate shape. Out of all these, one of the
SU
(3) algebras generates quite small quadrupole moments for the low-lying states. |
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ISSN: | 1951-6355 1951-6401 |
DOI: | 10.1140/epjst/e2020-000088-4 |