Isoscalar and isovector giant resonances in 56,60,68Ni isotopes using self-consistent Skyrme HF-RPA

In this study, we presented the centroid energies (ECEN), scaled energies (ES), and constrained energies (ECON) of the isoscalar (T = 0) giant monopole and quadrupole resonances and isovector (T = 1) giant dipole resonances in 56,60,68Ni. Utilizing 16 distinct Skyrme-type effective nucleon-nucleon interactions often employed in the literature, these energies were computed using the completely self-consistent Hartree - Fock based on random phase approximation theory. We compared our theoretical calculations with the available experimental data. We primarily examined the effects of nuclear matter (NM) features, including the symmetry energy at saturation density, the effective mass (m*/m), and the nuclear matter incompressibility coefficient (KNM), on ECEN, ES, and ECON. We analyzed the sensitivity by determining the Pearson linear correlation coefficient between the calculated energies and NM properties. Also, we presented and discussed the values of ECEN, ES, and ECON as a function of atomic mass A.