Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2009-04-09
Phys.Rev.C79:054301,2009
Physics
Nuclear Physics
Nuclear Theory
37 pages, 15 figures, 1 table, accepted for publication in Phys. Rev. C
Scientific paper
10.1103/PhysRevC.79.054301
The analysis of shape transitions in Nd isotopes, based on the framework of relativistic energy density functionals and restricted to axially symmetric shapes in Ref. \cite{PRL99}, is extended to the region $Z = 60$, 62, 64 with $N \approx 90$, and includes both $\beta$ and $\gamma$ deformations. Collective excitation spectra and transition probabilities are calculated starting from 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 available data, and show that there is an abrupt change of structure at N=90 that can be approximately characterized by the X(5) analytic solution at the critical point of the first-order quantum phase transition between spherical and axially deformed shapes.
Lalazissis Georgios A.
Li Zhi Peng
Meng Jie
Niksic Tamara
Ring Peter
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