It is shown that, starting from an anisotropic harmonic oscillator force obtained by including non-rigidity in the rigid body force, it is possible to obtain the rotational flow in two dimensions used in the study of ground-state rotational band spectra of deformed even–even nuclei in the rare-earth region. Using the known quadratic dependence of the vorticity parameter (k) on the nuclear deformation (β), the average potential energy is shown to depend quadratically on β to a first order in β. Finally, the rotational Hamiltonian is expressed purely as a function of β, and a comparison of the same with other model Hamiltonians is done. Also, it is concluded that the adiabatic rotational flow is not physically possible on the basis of the RFM. Throughout this paper, only ground-state rotational bands of even–even spheroidal nuclei are considered.
Harmonic oscillator force between heavy quarks