Interactions between Some Two-Nucleon Configurations

Abstract

The shell model wave functions may often be mixtures of those for two or more configurations. Calculations based upona a harmonic oscillator central potential with scalar Gaussian interactions between nucleons indicate that there is substantial interaction between various two-nucleon configurations of the $1{d}_{\frac{5}{2}}$, $2{s}_{\frac{1}{2}}$, $1{d}_{\frac{3}{2}}$ shell. The admixtures of the $1{f}_{\frac{7}{2}}$ subshell, which belongs to the next main level, are, however, small. A mixture of several neighboring configurations accounts for the $\mathrm{ft}$ value of ${\mathrm{F}}^{18}({\ensuremath{\beta}}^{+}){\mathrm{O}}^{18}$ better than any single configuration.