Analytical comparison between X(3) and X(5) models of the Bohr Hamiltonian

Kayode Richard Ajulo, Kayode John Oyewumi

The 3-D Bohr-Mottelson Hamiltonian for $\gamma$-rigid prolate isotopes, known as $X(3)$, is solved via inverse square potential having only one free parameter, ${\beta }_0$. The exact form o…