Self-consistentK-matrix-model calculation for finite and superheavy nuclei

A model two-body $K$ matrix is introduced which leads to simple Brueckner-Hartree-Fock equations similar to those resulting from Skyrme forces. The main features of the present model are determined by basic nuclear matter properties. Experimental nucleon removal energies for finite closed-shell nuclei are used as a criterion for setting the single-particle energy levels in our model. This is accomplished by parametrizing the Brueckner rearrangement potential which augments the single-particle potential producing single-particle level densities in better agreement with experiment than Skyrme-potential models or density matrix expansion theories. Good fits are also obtained to total binding energies, rms radii, and electron scattering form factors of the magic nuclei ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$, ${}_{}{}^{90}{}_{}{}^{}\mathrm{Zr}$, ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$. Extrapolated results for the magic superheavy nucleus ${}_{}{}^{298}{}_{}{}^{}114$ are presented and discussed.