Approximate projection method for the construction of multi-
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-cluster spaces

Berriel-Aguayo, J. R. M.; Hess, Peter O.

doi:10.1103/physrevc.104.044307

Cited by 1 publication

(2 citation statements)

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“…The compatibility of the proxy-SU(3) and pseudo-SU(3) approaches has also been pointed out recently [210][211][212] in the framework of the semi-microscopic algebraic quartet model (SAQM) [213], which generates the excitation spectra of shell-like quartets, formed by two protons and two neutrons in a well-defined shell configuration. Based on the SU(3) symmetry, in its initial form [213] the model had been applicable only to light nuclei, based on the Elliott SU(3) symmetry.…”

Section: Prolate To Oblate Shape/phase Transitionmentioning

confidence: 89%

“…Based on the SU(3) symmetry, in its initial form [213] the model had been applicable only to light nuclei, based on the Elliott SU(3) symmetry. However, it has recently [210][211][212] been extended to heavy nuclei, based on the proxy-SU(3) symmetry and on the pseudo-SU(3) symmetry, with similar results provided by both approaches. The use of proxy-SU(3) could also be extended in a similar way to the semi-microscopic algebraic cluster model (SACM) [214][215][216], in which the internal structures of the clusters are described in terms of the shell model SU(3) symmetry, while the relative motion is described in terms of the phenomenological algebraic vibron model [60,[217][218][219].…”

Section: Prolate To Oblate Shape/phase Transitionmentioning

confidence: 89%

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The Proxy-SU(3) Symmetry in Atomic Nuclei

et al. 2023

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The microscopic origins and the current predictions of the proxy-SU(3) symmetry model of atomic nuclei were reviewed. Beginning with experimental evidence for the special roles played by nucleon pairs with maximal spatial overlap, the proxy-SU(3) approximation scheme is introduced; its validity is demonstrated through Nilsson model calculations and its connection to the spherical shell model. The major role played by the highest weight-irreducible representations of SU(3) in shaping up the nuclear properties is pointed out, resulting in parameter-free predictions of the collective variables β and γ for even–even nuclei in the explanation of the dominance of prolate over oblate shapes in the ground states of even–even nuclei, in the prediction of a shape/phase transition from prolate to oblate shapes below closed shells, and in the prediction of specific islands on the nuclear chart in which shape coexistence is confined. Further developments within the proxy-SU(3) scheme are outlined.

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