Giant resonances in 40,48Ca, 68Ni, 90Zr, 116Sn, 144Sm and 208Pb and properties of nuclear matter

Abstract

We have carried out calculations of centroid energies, ECEN, of the isoscalar (T = 0) and isovector (T = 1) giant resonances of multipolarities L = 0 - 3 in 40,48Ca, 68Ni, 90Zr, 116Sn, 144Sm and 208Pb, within the fully self-consistent spherical Hartree-Fock (HF)-based random phase approximation (RPA) theory, using 33 different Skyrme-type effective nucleon-nucleon interactions of the standard form commonly adopted in the literature. We also study the sensitivity of ECEN to physical properties of nuclear matter (NM), such as the effective mass m*/m, nuclear matter incompressibility coefficient KNM, enhancement coefficient κ of the energy weighted sum rule for the isovector giant dipole resonance and the symmetry energy and its first and second derivatives at saturation density, associated with the Skyrme interactions used in the calculations. Constraining the values of the NM properties, by comparing the calculated values of ECEN to the experimental data, we find that interactions associated with the values of m*/m = 0.70 to 0.90, KNM = 210 to 240 MeV and K = 0.25 to 0.70 best reproduce the experimental data. These constraints can be used to construct the next generation energy density functional (EDF) with improved prediction of properties of nuclei and nuclear matter.