Algebraic solutions for UBF(5)OBF(6) quantum phase transition in odd-mass-number nuclei

M. A. Jafarizadeh, M. Ghapanvari, and N. Fouladi
Phys. Rev. C 92, 054306 – Published 16 November 2015

Abstract

The spherical to γ-unstable nuclei shape-phase transition in odd-A nuclei is investigated by using the dual algebraic structures and the affine SU(1,1)̂ Lie algebra within the framework of the interacting boson-fermion model. The new algebraic solution for odd-A nuclei is introduced. In this model, single j=1/2 and 3/2 fermions are coupled with an even-even boson core. Energy spectra, quadrupole electromagnetic transitions, and an expectation value of the d-boson number operator are presented. Experimental evidence for the UBF(5)-OBF(6) transition in odd-A Ba and Rh isotopes is presented. The low-states energy spectra and B(E2) values for these nuclei are also calculated and compared with the experimental data.

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  • Received 26 July 2015
  • Revised 21 September 2015

DOI:https://doi.org/10.1103/PhysRevC.92.054306

©2015 American Physical Society

Authors & Affiliations

M. A. Jafarizadeh*

  • Department of Theoretical Physics and Astrophysics, University of Tabriz, Tabriz 51664, Iran and Research Institute for Fundamental Sciences, Tabriz 51664, Iran

M. Ghapanvari and N. Fouladi

  • Department of Nuclear Physics, University of Tabriz, Tabriz 51664, Iran

  • *jafarizadeh@tabrizu.ac.ir

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Vol. 92, Iss. 5 — November 2015

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