Algebraic models for shell-like quarteting of nucleons

Abstract

Algebraic models are proposed for the description of the shell-like quarteting of the nucleons both on the phenomenologic and on the semimicroscopic levels. In the previous one the quartet is considered as a structureless object, while in the latter one its constituents are treated explicitely. The excitation spectrum is generated by the SU(3) formalism in both cases. An application to the ${}^{20}$Ne nucleus is presented.

References in corpus (8)

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• Gross features of the spectrum of the 36Ar nucleus
• Spin and flavor projection operators in the $SU(2N_f)$ spin-flavor group
• A Semimicroscopic Algebraic Cluster Model for Heavy Nuclei
• On generation of the Bargmann-Moshinsky basis of SU(3) group
• Semi-microscopic construction of multi-$\alpha$ cluster spaces
• Symplectic symmetry approach to clustering in atomic nuclei: The case of ${}^{24}$Mg
• Quantum Phase Transitions within a nuclear cluster model and an effective model of QCD
• Quadrupole-Octupole Residual Interaction in the Proxy-$SU(3)$ Scheme
• Inter-band B(E1) Strengths in Heavy Nuclei based on the Proxy-SU(3) Scheme