https://doi.org/10.1140/epjp/s13360-019-00081-4
Regular Article
Study of odd-A nuclei with an energy-dependent 
-unstable harmonic-oscillator-like potential and deformation-dependent mass term
1
Department of Physics, University of Zanjan, Zanjan, Iran
2
Department of Physics, Imam Hossein Comprehensive University, Tehran, Iran
* e-mail: n.soheibi@znu.ac.ir
Received:
30
October
2019
Accepted:
27
December
2019
Published online:
15
January
2020
Investigation of the Bohr Hamiltonian with Bose–Fermi dynamical symmetry is considered for odd–even nuclei near the critical point of the spherical to deformed -unstable phase transition 
. This evaluation is modified by the energy-dependent harmonic-oscillator-like potential for 
part of the Hamiltonian in the presence of the deformation-dependent mass term, the spin–orbit interaction and the degeneracy-breaking terms. The Hamiltonian equation is solved using techniques of supersymmetric quantum mechanics (SUSYQM). The excitation energy spectra, the electromagnetic transition strengths, quadrupole moments and dipole moments for this case are given for 
.
© Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
