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February 5, 20260 citations

A Semimicroscopic Algebraic Cluster Model for heavy nuclei applied to

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PHP.O. Hess

Key Points

  • To analyze the structure of 162Dy using the Semimicroscopic Algebraic Cluster Model and understand its 0+ spectrum.
  • Utilized the Semimicroscopic Algebraic Cluster Model (SACMh) with a simple Hamiltonian in an SU(3) limit.
  • Applied the pseudo-SU(3) model for heavy nuclei analysis.
  • Considered the shell model space as the Hilbert space for calculations.
  • Successfully reproduced the spectrum and B(E2)-transitions for 162Dy.
  • Described the 0+ spectrum well, including the understanding of its multiplicities.
  • Highlighted the importance of SŨ(3) content in explaining the 0+ states.

Abstract

The main objective of the present contribution is to describe 162Dy within the Semimicroscopic Algebraic Cluster Model for heavy nuclei (SACMh), intentionally using an simple Hamiltonian in an SU(3) limit in order to provide a clear insigt into the basic structure of 162Dy. It is shown that an important ingredient is not only the Hamiltonian but more importantly the Hilbert space, taken as the shell model space. For heavy nuclei the pseudo-SU(3) model (SŨ(3)) is applied. The spectrum and B(E2)-transitions are reproduced. Of particular interest is the 0+ spectrum. It is shown that by knowing the content of the SŨ(3), the 0+ spectrum is understood including its multiplicities. In particular, the 0+ spectrum is described fairly well up to the clustering of 0+ states.

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Cite This Study

P.O. Hess (2025) studied this question.

synapsesocial.com/papers/698434a6f1d9ada3c1fb2fc5https://doi.org/10.1051/epjconf/202533301004/pdf
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