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

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

2004-08-09

arxiv.org/abs/nucl-th/0408024v1

Phys.Rev. C71 (2005) 054314

Physics

Nuclear Physics

Nuclear Theory

16 pages, 4 figures

Scientific paper

10.1103/PhysRevC.71.054314

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.

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