Abstract

A simple, four-parameter algebraic collective model (ACM) Hamiltonian is used to describe 166Er. In this nucleus anharmonic double-γ vibrations are observed and the third excited 0+ state has been identified as a candidate for a bandhead of a β band. In contrast to γ-vibrational bands, systematically observed in deformed nuclei, β-vibrational bands are rarely well realized in nuclei and their observation and interpretation is still far from satisfactory. The purpose of the present paper is to show how the ACM model is capable to address complex properties of deformed nuclei in this region and what are its successes and weak points.

Highlights

  • Nuclear quadrupole shape oscillations are traditionally described as β and γ vibrations [1]

  • The β vibrations preserve axial symmetry and a one-quantum excitations give rise to K = 0+ bands where K is the projection of the angular momentum on the symmetry axis of the nucleus

  • A γ vibration dynamically breaks the axial symmetry and leads to K = 2+ bands. γ-vibrational bands are systematically observed in deformed nuclei and their properties are relatively well understood

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Summary

Introduction

Nuclear quadrupole shape oscillations are traditionally described as β and γ vibrations [1]. The β vibrations preserve axial symmetry and a one-quantum excitations give rise to K = 0+ bands where K is the projection of the angular momentum on the symmetry axis of the nucleus. A γ vibration dynamically breaks the axial symmetry and leads to K = 2+ bands. Γ-vibrational bands are systematically observed in deformed nuclei and their properties are relatively well understood. Excited 0+ states, on the other hand, provide some of the greatest challenge to nuclear structure models and their interpretation remains still very unsatisfactory. The 02+ excited state has been interpreted as a β vibration [1]. One would find that the β vibration should have B(E2,0+β → 2+gs ) values of about 10 W.u., i.e. comparable to those of the γ vibration

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