Consistent quadrupole-octupole collective model

doi:10.1103/PhysRevC.94.054322

2016-11-28

PRE

A. Dobrowolski *

K. Mazurek

A. Góźdź

DOI：10.1103/PhysRevC.94.054322

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摘要

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Within this work we present a consistent approach to quadrupole-octupole collective vibrations coupled with the rotational motion. A realistic collective Hamiltonian with variable mass-parameter tensor and potential obtained through the macroscopic-microscopic Strutinsky-like method with particle-number-projected BCS (Bardeen-Cooper-Schrieffer) approach in full vibrational and rotational, nine-dimensional collective space is diagonalized in the basis of projected harmonic oscillator eigensolutions. This orthogonal basis of zero-, one-, two-, and three-phonon oscillator-like functions in vibrational part, coupled with the corresponding Wigner function is, in addition, symmetrized with respect to the so-called symmetrization group, appropriate to the collective space of the model. In the present model it is D-4 group acting in the body-fixed frame. This symmetrization procedure is applied in order to provide the uniqueness of the Hamiltonian eigensolutions with respect to the laboratory coordinate system. The symmetrization is obtained using the projection onto the irreducible representation technique. The model generates the quadrupole ground-state spectrum as well as the lowest negative-parity spectrum in Gd-156 nucleus. The interband and intraband B(E1) and B(E2) reduced transition probabilities are also calculated within those bands and compared with the recent experimental results for this nucleus. Such a collective approach is helpful in searching for the fingerprints of the possible high-rank symmetries (e.g., octahedral and tetrahedral) in nuclear collective bands.

Keyword:

TETRAHEDRAL SYMMETRY

CHARGED DROP

HEAVY-NUCLEI

DEFORMATION ENERGY

ATOMIC-NUCLEI

MOMENTS

SCATTERING

FISSION

ROTORS

SHAPES