Abstract
The analytical solution of the confined \ensuremath{\beta}-soft (CBS) rotor model is systematically compared to the energies of the ground-state rotational bands of strongly deformed heavy even-even nuclei. The model reproduces with one structural parameter the yrast band energies for all sufficiently well known rare-earth nuclei and actinides with a structural signature of ${R}_{4/2}=E({4}_{1}^{+})/E({2}_{1}^{+})g3.30$ up to the ${12}^{+}$ state with an accuracy of the order of ${10}^{\ensuremath{-}3}$. This systematic study of the CBS model demonstrates the regularity of the ground-state bands without exception. Comparison to the Davydov Chaban model suggests that the agreement between data and collective models with soft potentials is insensitive to the details of the potential.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have