Coupling of pairing and triaxial shape vibrations in collective states of $\gamma$-soft nuclei

Abstract

In addition to shape oscillations, low-energy excitation spectra of deformed nuclei are also influenced by pairing vibrations. The simultaneous description of these collective modes and their coupling has been a long-standing problem in nuclear structure theory. Here we address the problem in terms of self-consistent mean-field calculations of collective deformation energy surfaces, and the framework of the interacting boson approximation. In addition to quadrupole shape vibrations and rotations, the explicit coupling to pairing vibrations is taken into account by a boson-number non-conserving Hamiltonian, specified by a choice of a universal density functional and pairing interaction. An illustrative calculation for ${}^{128}$Xe and ${}^{130}$Xe shows the importance of dynamical pairing degrees of freedom, especially for structures built on low-energy $0^{+}$ excited states, in $\gamma$-soft and triaxial nuclei.

7 pages, 4 figures

References in corpus (6)

• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Microscopic Formulation of Interacting Boson Model for Rotational Nuclei
• Dynamic versus static fission paths with realistic interactions
• Role of dynamic pairing correlations in fission dynamics
• Coupling of shape and pairing vibrations in a collective Hamiltonian based on nuclear energy density functionals
• Pairing vibrations in the interacting boson model based on density functional theory

Cited by in corpus (6)

• Evolution of octupole deformation and collectivity in neutron-rich lanthanides
• Interplay between pairing and triaxial shape degrees of freedom in Os and Pt nuclei
• Mapped interacting boson model for nuclear structure studies
• Effects of pairing strength on the nuclear structure and double-$\beta$ decay predictions within the mapped interacting boson model
• Signatures of shape phase transitions in krypton isotopes based on relativistic energy density functionals
• Understanding Xe isotopes near $A=130$ through the prolate-oblate shape phase transition