Additivity of Quadrupole Moments in Superdeformed Bands: Single-Particle Motion at Extreme Conditions

Abstract

Quadrupole and hexadecapole moments of superdeformed bands in the $A$$\sim$150 mass region have been analyzed in the cranking Skyrme-Hartree-Fock model. It is demonstrated that, independently of the intrinsic configuration and of the proton and neutron numbers, the charge moments calculated with respect to the doubly-magic superdeformed core of $^{152}$Dy can be expressed very precisely in terms of independent contributions from the individual hole and particle orbitals. This result, together with earlier studies of the moments of inertia distributions, suggests that many features of the superdeformed bands in the $A$$\sim$150 mass region can be very well understood in terms of an almost undisturbed single-particle motion.