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 $1d_{\frac{5}{2}}$, $2s_{\frac{1}{2}}$, $1d_{\frac{3}{2}}$ shell. The admixtures of the $1f_{\frac{7}{2}}$ subshell, which belongs to the next main level, are, however, small. A mixture of several neighboring configurations accounts for the $\mathrm{ft}$ value of ${\mathrm{F}}^{18}\left({\beta }^{+}\right){\mathrm{O}}^{18}$ better than any single configuration.