Partial dynamical symmetries and shape coexistence in nuclei

A. Leviatan*, N. Gavrielov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


We present a symmetry-based approach for shape coexistence in nuclei, founded on the concept of partial dynamical symmetry (PDS). The latter corresponds to the situation where only selected states (or bands of states) of the coexisting configurations preserve the symmetry while other states are mixed. We construct explicitly critical-point Hamiltonians with two or three PDSs of the types U(5), SU(3), SU(3) and SO(6), appropriate to double or triple coexistence of spherical, prolate, oblate and γ-soft deformed shapes, respectively. In each case, we analyze the topology of the energy surface with multiple minima and corresponding normal modes. Characteristic features and symmetry attributes of the quantum spectra and wave functions are discussed. Analytic expressions for quadrupole moments and E2 rates involving the remaining solvable states are derived and isomeric states are identified by means of selection rules.

Original languageAmerican English
Article number114005
JournalPhysica Scripta
Issue number11
StatePublished - 25 Oct 2017

Bibliographical note

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© 2017 IOP Publishing Ltd.


  • dynamical symmetry
  • interacting boson model
  • partial dynamical symmetry
  • shape coexistence in nuclei


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