Algebraic Solutions for $U^{BF}(5)-O^{BF}(6)$ Quantum Phase Transition in Odd Mass Number Nuclei

Abstract

The spherical to deformed $\gamma -unstable$ 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 A-odd nuclei is introduced. In this model, Single $j=1/2$ and $3/2$ fermions are coupled with an even-even boson core. Energy spectra, quadruple electromagnetic transitions and an expectation value of the d-boson number operator are presented. Experimental evidence for the $U^{BF}(5)-O^{BF}(6)$ transition in odd -A $Ba$ and $Rh$ isotopes is presented. The low-states energy spectra and $B(E2)$values for these nuclei have been also calculated and compared with the experimental data.

20 pages, 24 figures

References in corpus (4)

• Dual pairing of symmetry groups and dynamical groups in physics
• Analytic descriptions for transitional nuclei near the critical point
• Effect of a fermion on quantum phase transitions in bosonic systems
• A description of odd mass Xe and Te isotopes in the Interacting Boson-Fermion Model

Cited by in corpus (2)

• Nuclear quantum shape-phase transitions in odd-mass systems
• Empirical signatures of shape phase transitions in nuclei with odd nucleon numbers