Probing Quadruple Deformation in Transitional Nuclei via Angular Momentum Projection

Abstract

Within the interacting boson model (IBM), a geometric analysis of transitional nuclei is carried out through angular momentum projection of the intrinsic coherent state. The results indicate that $K$-mixing effects in the calculations are typically negligible, validating the use of $K$-fixed projection for semiclassical analyses of the spin dependence of quadrupole deformation in the IBM. Further analysis indicates that in a rotating transitional system, quadrupole deformation is stretched with increasing angular momentum, providing a geometrically intuitive perspective on the commonly observed Jacobi-type transitions, as exemplified by the case studies of ${}^{160}$Gd and ${}^{162}$Dy. The method is additionally applied to the yrast states of ${}^{170}$Os to probe quadrupole deformation changes linked to the observed low-spin $B(E2)$ anomaly behavior, demonstrating the capability of IBM-based angular momentum projection in interpreting exotic collective phenomena.

14 pages,9 figures

References in corpus (23)

• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Quantum phase transitions in the interacting boson model
• Triaxial Angular Momentum Projection and Configuration Mixing calculations with the Gogny force
• Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions
• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• Beyond Mean-Field Calculations for Odd-A Nuclei
• Beyond the relativistic mean-field approximation: configuration mixing of angular momentum projected wave functions
• Nuclear shape coexistence: A study of the even-even Hg isotopes using the interacting boson model with configuration mixing
• Shape coexistence in the microscopically guided interacting boson model
• Triaxiality in the interacting boson model
• Shape coexistence in Lead isotopes in the interacting boson model with Gogny energy density functional
• Anomalous low-energy $E2$-related behavior in triaxial nuclei
• Variational approach with the superposition of the symmetry-restored quasi-particle vacua for nuclear shell-model calculations
• Angular momentum projection in the deformed relativistic Hartree-Bogoliubov theory in continuum
• Nuclear shape coexistence in Po isotopes: An interacting boson model study
• Angular Momentum Projected Configuration Interaction with Realistic Hamiltonians
• Angular momentum and parity projected multidimensionally constrained relativistic Hartree-Bogoliubov model
• Triaxial rotor modes in finite-N boson systems
• Variation after projection calculations for high-spin states
• Anomalous collective modes in atomic nuclei within the proton-neutron interacting boson model
• B(E2) anomaly and triaxial deformation in the interacting boson model
• The IBM Description of the B(E2) Anomaly: Dynamical Triaxiality and Configuration Mixing
• Triaxial dynamics in the quadrupole-deformed rotor