Analytically solvable prolate-oblate shape phase transitional description within the SU(3) limit of the interacting boson model

Yu Zhang, Feng Pan, Yu-Xin Liu, Yan-An Luo, and J. P. Draayer
Phys. Rev. C 85, 064312 – Published 12 June 2012

Abstract

A novel analytically solvable prolate-oblate shape phase transitional description for the SU(3) limit of the interacting boson model is investigated for finite-N as well as in the large-N classical limit. It is shown that the ground state shape phase transition is of first order due to level crossing. Through a comparison of the theoretical predictions with available experimental data for even-even 180Hf, 182186W, 188190Os, and 192198Pt, it is shown that this simple novel description is suitable for a description of the prolate-oblate shape phase transition in these nuclei.

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  • Received 23 January 2012

DOI:https://doi.org/10.1103/PhysRevC.85.064312

©2012 American Physical Society

Authors & Affiliations

Yu Zhang1, Feng Pan1,2, Yu-Xin Liu3,4, Yan-An Luo5, and J. P. Draayer2

  • 1Department of Physics, Liaoning Normal University, Dalian 116029, China
  • 2Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803-4001, USA
  • 3Department of Physics and the State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China
  • 4Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China
  • 5School of Physics, Nankai University, Tianjin 300071, China

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Issue

Vol. 85, Iss. 6 — June 2012

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