We obtain Thomas–Fermi solutions for nuclei in the mass range [Formula: see text]. Solutions for a given nucleus are obtained from angular momentum zero to the maximum value at which the nucleus breaks up. On one hand, we can establish contact with the liquid-drop model; on the other hand since Thomas–Fermi theory can be regarded as an approximation to Hartree-Fock theory and does use an underlying force (the same force can be used in Hartree–Fock theory), it is also instructive to compare results with the quantum cranking calculations carried out by other researchers. It appears that for low-mass nuclei quantum effects make the two results very different even at high spins but for medium-mass nuclei there are similarities that are seen at high-spin states. Rather large deformations are obtained at high-spin states but the magnitudes are sensitive to the actual force used. We present graphs indicating the change of shape in the Q – γ plane as angular momentum is cranked up.
Interplay between Zhang-Rice singlets and high-spin states in a model for doped
NiO2
planes
