Ядерна фізика та енергетика Nuclear Physics and Atomic Energy   ISSN: 1818-331X (Print), 2074-0565 (Online)   Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine   Languages: Ukrainian, English   Periodicity: 4 times per year   Open access peer reviewed journal

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E. G. Khidher¹, A. H. Taqi<sup>2,*

1</sup> Department of Physics, College of Education for Pure Sciences, University of Kirkuk, Kirkuk, Iraq
² Department of Physics, College of Science, University of Kirkuk, Kirkuk, Iraq

^*Corresponding author. E-mail address: alitaqi@uokirkuk.edu.iq

Abstract: In this study, we presented the centroid energies (E_CEN), scaled energies (E_S), and constrained energies (E_CON) 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 (K_NM), on E_CEN, E_S, and E_CON. 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 E_CEN, E_S, and E_CON as a function of atomic mass A.

Keywords: Skyrme force, giant resonance, Hartree - Fock, random phase approximation.

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