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

Abstract

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.NUCLEAR STRUCTURE Nuclear matter; fitted Brueckner $K$-matrix model parameters, $^{16}\mathrm{O}$, $^{40}\mathrm{Ca}$, $^{48}\mathrm{Ca}$, $^{90}\mathrm{Zr}$, $^{208}\mathrm{Pb}$, $^{298}114$; computed, and compared with exp. ${W}_{\mathrm{tot}}$, ${R}_{\mathrm{rms}}$, ${E}_{\mathrm{s}.\mathrm{p}.}$, $\ensuremath{\rho}(\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}})$, electron scattering data. Oscillator basis, self-consistent BHF method.