Microscopic Description of Spherical to Gamma-Soft Shape Transitions in Ba and Xe Nuclei

Details Microscopic Description of Spherical to Gamma-Soft Shape Transitions in Ba and Xe Nuclei Microscopic Description of Spherical to Gamma-Soft Shape Transitions in Ba and Xe Nuclei

2010-03-22

arxiv.org/abs/1003.4109v1

Physics

Nuclear Physics

Nuclear Theory

22 pages, 13 figures, accepted for publication in Physical Review C

Scientific paper

The rapid transition between spherical and $\gamma$-soft shapes in Ba and Xe nuclei in the mass region $A \geq 130$ is analyzed using excitation spectra and collective wave functions obtained by diagonalization of a five-dimensional Hamiltonian for quadrupole vibrational and rotational degrees of freedom, with parameters determined by constrained self-consistent relativistic mean-field calculations for triaxial shapes. The results reproduce the characteristic evolution of excitation spectra and E2 transition probabilities and, in general, a good agreement with available data is obtained. The calculated spectra display fingerprints of a second-order shape phase transition that can approximately be described by analytic solutions corresponding to the E(5) dynamical symmetry.

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