Irrotational or Rotational Flow Motion in Deformed Nuclei
1972; American Institute of Physics; Volume: 6; Issue: 2 Linguagem: Inglês
10.1103/physrevc.6.426
ISSN1538-4497
Autores Tópico(s)Quantum, superfluid, helium dynamics
ResumoThe "governor model" of Trainor and the author, based on the assumptions of a rotational flow motion and the existence of a rotationally invariant core in nuclei, is completely reformulated in terms of the better-known deformation parameter ${\ensuremath{\beta}}_{0}$. It is shown that this model results in an expression for the ground-state moment of inertia which, in agreement with the empirical study of Mariscotti et al. (the variable-moment-of-inertia model), gives a linear dependence on the deformation parameter (${\mathcal{I}}^{(0)}\ensuremath{\propto}{\ensuremath{\beta}}_{0}$). The hydrodynamical model, based on the irrotational flow motion and using the condition ${\mathcal{I}}^{(0)}\ensuremath{\propto}\ensuremath{\beta}_{0}^{}{}_{}{}^{2}$, is also reformulated to include all the higher-order corrections to the $J(J+1)$ law. Both the models are then applied to all the even-even nuclei in the mass regions $152\ensuremath{\le}A\ensuremath{\le}188$ and $A\ensuremath{\ge}224$, and the results are compared with experiment. The discussion is restricted to the ground-state rotational bands only. In addition to the rotational-state energies and the ground-state moment of inertia, other nuclear properties, such as the variation of the moment of inertia and the quadrupole moment with the angular momentum, are also investigated.
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