Abstract

Some intriguing results, obtained in a recent survey of octupole properties for all even-even nuclei, are reanalyzed in order to understand the origin of the strong disagreement with experimental data and/or the strange behaviours observed. The limi- tations of the rotational formula to describe E1 and E3 transition strengths are discussed as well as the role played by octupole-quadrupole coupling in some specific nuclei.

Highlights

  • The properties of low lying collective negative parity states – including excitation energies and transition strengths – are strongly linked to the octupole deformation properties of the nucleus [1]

  • A sound theoretical description encompassing both regimes is provided by the generator coordinate method (GCM) with the octupole deformation as generating coordinate [3]

  • A hint on the origin of the discrepancies is the good agreement with experiment for the 3− excitation energy of 208Pb computed with Random Phase Approximation (RPA) and the Gogny force [7]

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Summary

Introduction

The properties of low lying collective negative parity states – including excitation energies and transition strengths – are strongly linked to the octupole deformation properties of the nucleus [1]. A sound theoretical description encompassing both regimes is provided by the generator coordinate method (GCM) with the octupole deformation as generating coordinate [3]. Such kind of calculations [4] have been performed for a set of 818 even-even nuclei and several variants of the Gogny interaction. Results for the excitation energy of the lowest lying collective negative parity state and the E1 and E3 transition strengths to the ground state have been computed and compared to experimental data. Some "wild" results like the case of 64Zn were worth investigating

Theoretical tools
Excitation energies
The nucleus 64Zn
E3 strengths

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