Singular Character of Critical Points in Nuclei

Abstract

The concept of critical points in nuclear phase transitional regions is discussed from the standpoints of Q-invariants, simple observables and wave function entropy. It is shown that these critical points very closely coincide with the turning points of the discussed quantities, establishing the singular character of these points in nuclear phase transition regions between vibrational and rotational nuclei, with a finite number of particles.

arXiv comment12 pages, 7 figures, elsart, revised version, considerable changes and additions

References in corpus (3)

• Phase Transitions in Finite Nuclei and the Integer Nucleon Number Problem
• Quadrupole shape invariants in the interacting boson model
• Wave-function entropy and dynamical-symmetry breaking in the interacting boson model

Cited by in corpus (18)

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• Bohr Hamiltonian with Davidson potential for triaxial nuclei
• The Pt isotopes: comparing the Interacting Boson Model with Configuration Mixing and the Extended Consistent-Q formalism
• Simple, empirical order parameter for a first order quantum phase transition in atomic nuclei
• E(5) and X(5) critical point symmetries obtained from Davidson potentials through a variational procedure
• Two-level interacting boson models beyond the mean field
• Alternative Interpretation of Sharply Rising E0 Strengths in Transitional Regions
• Quantum phase transitional patterns in the SD-pair shell model
• Microscopic description of structural evolution in Pd, Xe, Ba, Nd, Sm, Gd and Dy isotopes
• Triaxiality and the determination of the cubic shape parameter K3 from five observables
• $\gamma$-soft ${}^{146}$Ba and the role of non-axial shapes at N ~ 90
• Connecting the X(5)-${\beta }^2$, X(5)-${\beta }^4$, and X(3) models to the shape/phase transition region of the interacting boson model
• Transition probabilities in the X(5) candidate ${}^{122}$Ba
• Analytic derivation of an approximate SU(3) symmetry inside the symmetry triangle of the Interacting Boson Approximation model
• Study of shape coexistence in the 180-190Hg isotopes by SO(6) representation of eigenstates