Beyond relativistic mean-field studies of low-lying states in neutron-deficient krypton isotopes

Y. Fu, H. Mei, J. Xiang, Z. P. Li, J. M. Yao, and J. Meng
Phys. Rev. C 87, 054305 – Published 6 May 2013

Abstract

Background: Neutron-deficient krypton isotopes are of particular interest due to the coexistence of oblate and prolate shapes in low-lying states and the transition of the ground state from one dominate shape to another as a function of neutron number. Moreover, the onset of large E2 transition strength around 76Kr indicates the erosion of the N=40 subshell gap.

Purpose: A detailed interpretation of these phenomena in neutron-deficient Kr isotopes requires the use of a method going beyond a mean-field approach that permits the determination of spectra and transition probabilities. The aim of this work is to provide a systematic calculation of low-lying states in the even-even 6886Kr isotopes and to understand the shape coexistence phenomenon and the onset of large collectivity around N=40 from beyond relativistic mean-field studies.

Method: The starting point of our method is a set of relativistic mean-field plus BCS wave functions generated with a constraint on triaxial deformations (β,γ). The excitation energies and electric multipole transition strengths of low-lying states are calculated by solving a five-dimensional collective Hamiltonian (5DCH) with parameters determined by the mean-field wave functions. To examine the role of triaxiality, a configuration mixing of both particle-number- and angular-momentum-projected axially deformed states is also carried out within the exact generator coordinate method based on the same energy density functional.

Results: The energy surfaces, the excitation energies of 02+, 21+, and 22+ states, as well as the E0 and E2 transition strengths are compared with the results of similar 5DCH calculations but with parameters determined by the nonrelativistic mean-field wave functions, as well as with the available data. The results show a picture of oblate-triaxial-prolate shape transition. Coexistence of low-lying excited 0+ states is found to be a common feature in the neutron-deficient Kr isotopes. The underlying mechanism responsible for the shape coexistence is discussed.

Conclusions: The main features of the low-spin spectra and the systematics of excitation energies and transition strengths in the neutron-deficient Kr isotopes are reproduced very well. The effects of dynamic correlations and triaxiality turn out to have important influences on the balance between the competing oblate and prolate states. An exact treatment of configuration mixing of particle-number- and angular-momentum-projected triaxial states is highly demanded to pin down these effects.

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  • Received 26 February 2013

DOI:https://doi.org/10.1103/PhysRevC.87.054305

©2013 American Physical Society

Authors & Affiliations

Y. Fu1, H. Mei1, J. Xiang1, Z. P. Li1, J. M. Yao1,2,*, and J. Meng3,4,5

  • 1School of Physical Science and Technology, Southwest University, Chongqing 400715, China
  • 2Physique Nucléaire Théorique, Université Libre de Bruxelles, C.P. 229, B-1050 Bruxelles, Belgium
  • 3State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China
  • 4School of Physics and Nuclear Energy Engineering, Beihang University, Beijing 100191, China
  • 5Department of Physics, University of Stellenbosch, Stellenbosch, South Africa

  • *jmyao@swu.edu.cn

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Vol. 87, Iss. 5 — May 2013

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