Simple, empirical order parameter for a first order quantum phase transition in atomic nuclei

Abstract

A simple, empirical signature of a first order phase transition in atomic nuclei is presented, the ratio of the energy of the 6+ level of the ground state band to the energy of the first excited 0+ state. This ratio provides an effective order parameter which is not only easy to measure, but also distinguishes between first and second order phase transitions and takes on a special value in the critical region. Data in the Nd-Dy region show these characteristics. In addition, a repeating degeneracy between alternate yrast states and successive excited 0+ states is found to correspond closely to the line of a first order phase transition in the framework of the Interacting Boson Approximation (IBA) model in the large N limit, pointing to a possible underlying symmetry in the critical region.

4 pages, 4 postscript figures, uses revTeX

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• SU(3) quasidynamical symmetry underlying the Alhassid--Whelan arc of regularity
• Quantum phase transitional patterns in the SD-pair shell model
• Signatures for shape coexistence and shape/phase transitions in even-even nuclei
• Nucleons pair shell model in M-scheme
• Regularities and symmetries of subsets of collective 0+ states
• Unified description of 0+ states in a large class of nuclear collective models
• Euclidean Dynamical Symmetry in Nuclear Shape Phase Transitions
• Regularity and chaos in 0+ states of the interacting boson model using quantum measures
• Empirical signatures of shape phase transitions in nuclei with odd nucleon numbers
• Understanding Xe isotopes near $A=130$ through the prolate-oblate shape phase transition
• Description of the critical point symmetry in 124Te by IBM-2
• Shape phase transition in the odd Sm nuclei: effective order parameter and odd-even effect
• Quadrupole and octupole states in ${}^{152}$Sm using the proton-neutron interacting boson model