Triaxiality and the determination of the cubic shape parameter K3 from five observables

Abstract

The absolute and the relative quadrupole shape invariants q3 and K3 provide a model independent measure of triaxiality for beta-rigid nuclei. We will show that one can obtain q3 and K3 from a small number of observables. The approximations which are made will be shown to hold within a few percent both in the rigid triaxial rotor model and the interacting boson model. The shape parameter K3 is given for an exemplary set of nuclei and is translated into effective values of the geometrical deformation parameters beta and gamma.

16 pages, 4 figures

References in corpus (7)

• Chirality of nuclear rotation
• Ground State Bands of the E(5) and X(5) Critical Symmetries Obtained from Davidson Potentials through a Variational Procedure
• Quadrupole shape invariants in the interacting boson model
• Soft triaxial roto-vibrational motion in the vicinity of $\gamma =\pi /6$
• Singular Character of Critical Points in Nuclei
• Odd-spin yrast states as multiple quadrupole-phonon excitations
• Simple relations among E2 matrix elements of low-lying collective states

Cited by in corpus (5)

• Effects of beta-gamma coupling in transitional nuclei and the validity of the approximate separation of variables
• Exact diagonalization of the Bohr Hamiltonian for rotational nuclei: Dynamical gamma softness and triaxiality
• The IBM Description of the B(E2) Anomaly: Dynamical Triaxiality and Configuration Mixing
• B(E2) anomaly and triaxial deformation within a two-fluid SU(3) symmetry
• Consequences of broken axial symmetry in heavy nuclei -- an overview of the situation in the valley of stability