Unified description of 0+ states in a large class of nuclear collective models

Abstract

A remarkably simple regularity in the energies of 0+ states in a broad class of collective models is discussed. A single formula for all 0+ states in flat-bottomed infinite potentials that depends only on the number of dimensions and a simpler expression applicable to all three IBA symmetries in the large boson number limit are presented. Finally, a connection between the energy expression for 0+ states given by the X(5) model and the predictions of the IBA near the critical point is explored.

arXiv comment4 pages, 3 postscript figures, uses revTeX

References in corpus (8)

• Hadronic Spectrum of a Holographic Dual of QCD
• Z(5): Critical point symmetry for the prolate to oblate nuclear shape phase transition
• X(3): An Exactly Separable Gamma-Rigid Version of the X(5) Critical Point Symmetry
• Microscopic description of nuclear quantum phase transitions
• Gamma-rigid solution of the Bohr Hamiltonian for gamma = 30 degrees compared to the E(5) critical point symmetry
• Quadrupole shape invariants in the interacting boson model
• Partial Dynamical Symmetry at Critical-Points of Quantum Phase Transitions
• Simple, empirical order parameter for a first order quantum phase transition in atomic nuclei

Cited by in corpus (6)

• SU(3) quasidynamical symmetry underlying the Alhassid--Whelan arc of regularity
• Regularities and symmetries of subsets of collective 0+ states
• The emergent dynamical symmetry at the triple point of nuclear deformations
• Euclidean Dynamical Symmetry in Nuclear Shape Phase Transitions
• Shape phase mixing in critical point nuclei
• Phenomenological description of the states $0^{+}$ and $2^{+}$ in some even-even nuclei