Coupling of shape and pairing vibrations in a collective Hamiltonian based on nuclear energy density functionals

J. Xiang, Z. P. Li, T. Nikšić, D. Vretenar, and W. H. Long
Phys. Rev. C 101, 064301 – Published 3 June 2020

Abstract

The quadrupole collective Hamiltonian, based on relativistic energy density functionals, is extended to include a pairing collective coordinate. In addition to quadrupole shape vibrations and rotations, the model describes pairing vibrations and the coupling between shape and pairing degrees of freedom. The parameters of the collective Hamiltonian are determined by constrained self-consistent relativistic mean-field plus Bardeen-Cooper-Schrieffer (RMF+BCS) calculations in the space of intrinsic shape and pairing deformations. The effect of coupling between shape and pairing degrees of freedom is analyzed in a study of low-energy spectra and transition rates of four axially symmetric N=92 rare-earth isotones. When compared to results obtained with the standard quadrupole collective Hamiltonian, the inclusion of dynamical pairing increases the moment of inertia, lowers the energies of excited 0+ states, and reduces the E0 transition strengths, in better agreement with data.

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  • Received 22 January 2020
  • Accepted 11 May 2020

DOI:https://doi.org/10.1103/PhysRevC.101.064301

©2020 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

J. Xiang

  • School of Physics and Electronic, Qiannan Normal University for Nationalities, Duyun 558000, China and School of Physical Science and Technology, Southwest University, Chongqing 400715, China

Z. P. Li*

  • School of Physical Science and Technology, Southwest University, Chongqing 400715, China

T. Nikšić and D. Vretenar

  • Physics Department, Faculty of Science, University of Zagreb, Croatia

W. H. Long

  • School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China

  • *zpliphy@swu.edu.cn

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Vol. 101, Iss. 6 — June 2020

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