The 0+-spectrum in rare earth nuclei within the pseudo-SU(3) shell model

TL;DR

This paper investigates the 0+ spectrum in heavy rare earth nuclei using the pseudo-SU(3) model, highlighting the importance of microscopic Hilbert space and the Pauli Exclusion Principle in understanding state accumulation.

Contribution

It applies a simplified pseudo-SU(3) model to rare earth nuclei, demonstrating the significance of microscopic Hilbert space and PES in explaining 0+ state features.

Findings

The 0+ spectrum and state accumulation are well explained by the model.

The microscopic Hilbert space is crucial for understanding 0+-state accumulation.

B(E2)-transition dominance from the γ-band is trivial in this model.

Abstract

The study of the structure of the 0+ spectrum in heavy nuclei has drawn much attention in the last two decades. In this contribution we study their properties from a microscopic point of view. The pseudo-SU(3) model (\tilde{SU}(3)) is applied to some rare earth nuclei, namely to Sm, Gd, Dy, Er, Yb and Hf isotopes. It is shown that the 0+ spectrum, and the accumulation of states at certain energies, can be well understood using this microscopic model, which takes into account the Pauli Exclusion Principle (PES). Intentionally, a very simple model Hamiltonian is applied and only the valence shell is taken into account, in order to high-lighten certain cross features. It is demonstrated that the microscopic Hilbert space is essential in understanding the accumulation of 0+-states. A discussion to other models is provided. Also the dominance of B(E2)-transitions from the {\gamma}-band over those from the \b{eta}-band turns out to be trivial, in contrast to within some collective models.