Abstract

We have studied the uncharacteristic behavior of the measured values of the isoscalar and isovector centroid energies, ECEN, of nuclear giant resonances of multipolarity from L = 0 to L = 3 in 44Ca, 54Fe, 64,68Zn and 56,58,60,68Ni. For this purpose, we carried out calculations of ECEN within the spherical Hartree-Fock (HF)-based random phase approximation (RPA) theory with 33 distinct Skyrme-like effective nucleon-nucleon interactions. We have also determined the Pearson linear correlation coefficients between centroid energies, obtained from the HF-RPA, and the various properties of nuclear matter (NM) of each interaction and determined the sensitivity of ECEN to NM properties. We compared the theoretical values of ECEN obtained from the HF-RPA calculations with experimental data and discuss the results, pointing out significant disagreements between theoretical and experimental values. We note in particular, that we obtain good agreement for the theoretical ECEN of the isovector giant dipole resonance and the available experimental data.

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