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Mass number dependence of the nuclear radii is closely related to the nuclearmatter properties. It is known that the most of nuclei exhibit somedeformation. We discuss how the nuclear density profile is modified by thenuclear deformation to elucidate the enhancement mechanism of the nuclear radiithrough a systematic investigation of neutron-rich Ne, Mg, Si, S, Ar, Ti, Cr,and Fe isotopes. Skyrme-Hartree-Fock calculations are performed in athree-dimensional Cartesian grid to describe the nuclear deformation in anon-empirical way. The role of the nuclear deformation on the nuclear densityprofiles is explored in comparison to calculations with spherical limit. Wefind correlations between the nuclear deformation and the internal nucleardensity. The evolution of the nuclear radii appears to follow the core swellingmechanism recently proposed in spherical nuclei [Phys. Rev. C 101, 061301(R)(2020)], and the radius is further enhanced by the nuclear deformation. Thisstudy demands further theoretical and experimental investigations for theinternal density.

Deformation effect on nuclear density profile and radius enhancement in light- and medium-mass neutron-rich nuclei