Configuration-constrained cranking Hartree-Fock pairing calculations for sidebands of nuclei

W. Y. Liang (梁午阳), C. F. Jiao (焦长峰), Q. Wu (吴强), X. M. Fu (付熙明), and F. R. Xu (许甫荣)
Phys. Rev. C 92, 064325 – Published 29 December 2015

Abstract

Background: Nuclear collective rotations have been successfully described by the cranking Hartree-Fock-Bogoliubov (HFB) model. However, for rotational sidebands which are built on intrinsic excited configurations, it may not be easy to find converged cranking HFB solutions. The nonconservation of the particle number in the BCS pairing is another shortcoming. To improve the pairing treatment, a particle-number-conserving (PNC) pairing method was suggested. But the existing PNC calculations were performed within a phenomenological one-body potential (e.g., Nilsson or Woods-Saxon) in which one has to deal the double-counting problem.

Purpose: The present work aims at an improved description of nuclear rotations, particularly for the rotations of excited configurations, i.e., sidebands.

Methods: We developed a configuration-constrained cranking Skyrme Hartree-Fock (SHF) calculation with the pairing correlation treated by the PNC method. The PNC pairing takes the philosophy of the shell model which diagonalizes the Hamiltonian in a truncated model space. The cranked deformed SHF basis provides a small but efficient model space for the PNC diagonalization.

Results: We have applied the present method to the calculations of collective rotations of hafnium isotopes for both ground-state bands and sidebands, reproducing well experimental observations. The first up-bendings observed in the yrast bands of the hafnium isotopes are reproduced, and the second up-bendings are predicted. Calculations for rotational bands built on broken-pair excited configurations agree well with experimental data. The band-mixing between two Kπ=6+ bands observed in Hf176 and the K purity of the Hf178 rotational state built on the famous 31 yr Kπ=16+ isomer are discussed.

Conclusions: The developed configuration-constrained cranking calculation has been proved to be a powerful tool to describe both the yrast bands and sidebands of deformed nuclei. The analyses of rotational moments of inertia help to understand the structures of nuclei, including rotational alignments, configurations, and competitions between collective and single-particle excitations.

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  • Received 10 September 2015
  • Revised 8 November 2015

DOI:https://doi.org/10.1103/PhysRevC.92.064325

©2015 American Physical Society

Authors & Affiliations

W. Y. Liang (梁午阳)1, C. F. Jiao (焦长峰)1, Q. Wu (吴强)1, X. M. Fu (付熙明)1,2, and F. R. Xu (许甫荣)1,3,*

  • 1State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China
  • 2National Institute for Radiological Protection, Chinese Center for Disease Control and Prevention, Beijing 100088, China
  • 3State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Science, Beijing 100190, China

  • *frxu@pku.edu.cn

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Vol. 92, Iss. 6 — December 2015

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