Abstract

Abstract The ground state of a rotating nucleus is studied in the classical limit. It is assumed that the nucleus has the shape of a spheroid. The cases where the symmetry axis coincides with the rotation axis and where the symmetry axis is perpendicular to the rotation axis are studied. The equilibrium configuration is obtained by determining the stationary points of the energy evaluated in the rotating frame for fixed values of the rotational frequency ω. The depth of the potential well depends on ω and on the distance r ⊥ from the symmetry axis. The Fermi level also changes with ω. The dependence on ω of the shape of the nucleus is evaluated as well as the equilibrium density ρ 0 , as a function of r ⊥ and ω. A comparison is made with the results obtained by constraining the density to remain uniform and independent of ω.

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