Pairing vibrations in the interacting boson model based on density functional theory

Abstract

We propose a method to incorporate the coupling between shape and pairing collective degrees of freedom in the framework of the interacting boson model (IBM), based on the nuclear density functional theory. To account for pairing vibrations, a boson-number non-conserving IBM Hamiltonian is introduced. The Hamiltonian is constructed by using solutions of self-consistent mean-field calculations based on a universal energy density functional and pairing force, with constraints on the axially-symmetric quadrupole and pairing intrinsic deformations. By mapping the resulting quadrupole-pairing potential energy surface onto the expectation value of the bosonic Hamiltonian in the boson condensate state, the strength parameters of the boson Hamiltonian are determined. An illustrative calculation is performed for ${}^{122}$Xe, and the method is further explored in a more systematic study of rare-earth $N=92$ isotones. The inclusion of the dynamical pairing degree of freedom significantly lowers the energies of bands based on excited $0^{+}$ states. The results are in quantitative agreement with spectroscopic data, and are consistent with those obtained using the collective Hamiltonian approach.

14 pages, 13 figures, 6 tables

References in corpus (10)

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Cited by in corpus (12)

• Shape coexistence in even-even nuclei: A theoretical overview
• Evolution of octupole deformation and collectivity in neutron-rich lanthanides
• Quadrupole-octupole coupling and the onset of octupole deformation in actinides
• Interplay between pairing and triaxial shape degrees of freedom in Os and Pt nuclei
• Coupling of pairing and triaxial shape vibrations in collective states of $\gamma$-soft nuclei
• Nuclear energy density functionals from empirical ground-state densities
• 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
• Shape transition and coexistence in Te isotopes studied with the quadrupole collective Hamiltonian based on a relativistic energy density functional
• Octupole correlation effects on two-neutron transfer intensity in rare-earth nuclei
• Intertwined quantum phase transitions in odd-mass Nb isotopes