Giant resonances in40Ca and48Ca

Abstract

We present results of fully self-consistent Hartree-Fock-based random phase approximation calculations of the strength functions $S$($E$) and centroid energies ${E}_{\mathrm{CEN}}$ of isoscalar ($T=0$) and isovector ($T=1$) giant resonances of multipolarities $L=$ 0--3 in ${}^{40}$Ca and ${}^{48}$Ca, using a wide range of commonly employed 18 Skyrme-type nucleon-nucleon effective interactions. We determined the sensitivities of ${E}_{\mathrm{CEN}}$ and of the isotopic differences ${E}_{\mathrm{CEN}}$(${}^{48}$Ca) -- ${E}_{\mathrm{CEN}}$(${}^{40}$Ca) to physical quantities, such as nuclear matter incompressibility coefficient, symmetry energy density, and effective mass, associated with the Skyrme interactions and compare the results with the available experimental data.