Nuclear multipole excitations in the framework of self-consistent Hartree–Fock random phase approximation for Skyrme forces

Abstract

In this study, the fully self-consistent Hartree–Fock (HF)-based random phase approximation (RPA) calculations were done for the $$^{40}\hbox {Ca}$$ and $$^{48}\hbox {Ca}$$ nuclei using 20 Skyrme-type interactions: KDE0, KDE0v1, SLy4, SLy5, SLy6, SK255, SKI2, SKI3, SKI5, SKM, SKMP, SKP, LNS, SGII, RAPT, SV-bas, SV-m56-O, SV-m64-O, SV-min and T6. Having a large number of Skyrme-force parameterisations requires a continuous search for the best for describing the experimental data. To examine our results, we compared the strength functions S(E), the charge density distribution and centroid energies $$E_{\mathrm{CEN}}$$ of the isoscalar giant monopole resonance (ISGMR), $$J^{\pi } = 0^{+}$$ , $$T = 0$$ , the isovector giant dipole resonance (IVGDR), $$J^{\pi } = 1^{-}$$ , $$T = 1$$ , and isoscalar giant quadrupole resonance (ISGQR), $$J^{\pi } = 2^{+}$$ , $$T = 0$$ with the available experimental data. Moreover, we discussed the sensitivities of the centroid energy $$m_{1}/m_{0}$$ and moment $$m_{1}$$ of the S(E) to the bulk properties of nuclear matter (NM), such as $$K_\mathrm{NM}$$ , the effective mass m* / m and the enhancement factor $$\kappa $$ .