Anomalous deformation dependence of moments of inertia in light deformed nuclei

We investigate the deformation dependence of the moment of inertia $\cal J$ for light nuclei $^{24}$Mg and $^{20}$Ne and find regimes where $\cal J$ decreases with increasing the axial quadrupole deformation $\beta$, at variance with the generally expected increasing trend. The study is based on quadrupole constrained calculations using three cranking approaches for $\cal J$ (Inglis-Belyaev, Thouless-Valatin, adiabatic time-dependent Hartree-Fock) and representative set of Skyrme forces (SVbas, SkM* and SLy6). The calculations cover a wide deformation range 0 $< \beta < $ 1.2. The anomalous regime with $d{\cal J}/d\beta
Comment: 12 pages, 9 figures