Analysis of nuclear deformation properties for even–even Ne isotopes using Hartree–Fock and Bardeen–Cooper–Schrieffer theory

The deformation properties of even–even 24–30Ne isotopes are studied within the self-consistent Hartree–Fock plus Bardeen–Cooper–Schrieffer (HF+BCS) Theory using the Skyrme (SLy5) functional. Axially constrained calculations are performed to construct potential energy curves (PECS) as functions of the quadrupole deformation parameter β2, enabling an analysis of shape evolution and shell effects nearby the N = 20 region. The results indicate a transition from a weakly deformed configuration in 24Ne to a stable prolate shape in 26Ne, followed by shape coexistence in 28Ne and a near-spherical ground state in 30Ne. Calculated binding energy and deformation parameters agree closely with experimental data. This research shows that the SLy5 functional within the HF+BCS method accurately portrays deformation systematics in neutron-rich nuclei, particularly the effects of shell-driven collectivity and neutron-driven shell stabilization.