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The partial photonuclear [Formula: see text], pn) and [Formula: see text] and the total photonuclear cross-sections (the giant dipole resonance (GDR)) have been investigated theoretically for neodymium isotopes, namely [Formula: see text]Nd, using framework of the EMPIRE 3.2.2 code. The energy, width and cross-section parameters of the GDR used in our calculations have been investigated in this paper depending on the deformation parameters of nuclei. The calculated results have been compared with the experimental data and with those calculated using Lorentzian fitting parameters. Our calculations show a good agreement for all isotopes under study and give better results than the results calculated with Lorentzian parameters. Furthermore, the neutron number dependence of the total and partial photonuclear cross-sections has also been discussed. The results appear that the EMPIRE code used is a perfect tool for reproducing the splitting in the GDR for deformed [Formula: see text]Nd isotope in two distinct dipole modes which are perfectly consistent with the experimental results. It has also been shown that the present parameters are suitable parameters for reproducing the GDR for spherical, or nearly spherical, and the deformed ([Formula: see text]Nd) neodymium isotopes. The parameters have been indicating the small deformation in [Formula: see text]Nd, which cannot be shown by the Lorentzian fitting parameters.

The static and dynamic nuclear properties for neutron rich oxygen and calcium isotopes have been calculated using the framework of the random phase approximation method with different Skyrme parameterizations namely; SyO-, SyO+, BSk17, SLy4, SLy5, and SkX. The nuclear charge radii, the binding energy per nucleon were calculated and compared to the experimental one to choose the best Skyrme interactions used in the calculations of dynamic properties. The two-neutron separation energy for isotopes under study has been calculated and compared to experimental data. Higher modes of the excited states, energy-weighted sum rule, the centroid, constrained, and scaling energies of the resonances have been studied and illustrated together with available experimental data for comparison. For the low-lying excited states, the energy transition densities for J π = 2+ and J π = 3− are reproduced well in 18–24O and 46–54Ca isotopes. The neutron single particle states as a function of neutron number have been also presented. The results show that the random phase approximation calculations with Skyrme-type interactions is a successful method for describing nuclear structure properties of neutron rich nuclei near the drip line.

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