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The density profile of exotic nuclei can be a rich source of information onthe nuclear surface. In particular, the nuclear surface diffuseness parameteris correlated with the occupation probability of nucleons indistinct nuclearorbits, especially those with low angular momenta. The aim of this paper is toinvestigate the relationship between the nuclear surface diffuseness andspectroscopic information of neutron rich Ne and Mg isotopes both at the cuspand inside the island of inversion. We use the microscopic antisymmetrizedmolecular dynamics model to calculate these densities and other spectroscopicinformation. A two-parameter Fermi density distribution is then used to definethe diffuseness parameter. To relate them with observables, the nucleon-nucleuselastic scattering differential cross section is calculated with the demandthat they reproduce the first peak position and its magnitude. A markedincrease in the occupation of neutrons in the pf-orbit is noted in Ne and Mgisotopes from N=19 onwards. We observed that the nuclear diffuseness isstrongly correlated with the nuclear deformation, in the island of inversion,and gradually increases with the occupation of neutrons in the 1p3/2 orbit.This result is also confirmed by a single-particle estimate of the valenceneutron density distribution. An exception is noted for 35-37Mg, where thefilling up of the holes in the sd-shell partially compensates the increase indiffuseness due to filling up of the 1p3/2 orbit. Information on nucleardensity profile of neutron rich medium mass nuclei can be reliably extracted bystudying the first diffraction peak of the nucleon-nucleus elastic scatteringdifferential cross section. The enormous surface diffuseness of Ne and Mgisotopes, in the island of inversion, could be attributed to the increasingneutron occupation of the 1p3/2 orbit.

Enormous nuclear surface diffuseness in the exotic Ne and Mg isotopes