Phenomenological and analytical solution of the Bohr model for even–even and odd–even nuclei with Mie potential

Abstract

In this paper, analytical solution of the Bohr model with Mie potential for even–even and odd–even nuclei are evaluated in the Bose alone symmetry [Formula: see text] and a new class of Bose–Fermi dynamical symmetry [Formula: see text], respectively. The excitation energy spectra as well as electromagnetic transition strengths, quadrupole moments and dipole moments are investigated near the critical point of shape phase transition between the spherical and deformed [Formula: see text]-unstable nuclei. To show our results are compatible with experiment, some examples are tested.