Nucleon-Nucleon Potential in Similar Configurations

Calculations have been made on pair nuclei in order to obtain an effective interaction for the same shell of each pair. For the pair nuclei ${\mathrm{O}}^{18}$ and ${\mathrm{Zr}}^{92}$ $s$ and $d$ shells are considered, and for the pair nuclei ${\mathrm{Be}}^{10}$ and ${\mathrm{Ni}}^{58}$ the $p$ shell is considered. It is shown that it is impossible to derive a unique effective interaction for the $s$ and $d$ shells due to insufficient information on the low-lying levels of ${\mathrm{Zr}}^{92}$. However, a Gaussian potential with range $r_0=1.47\mathrm{}$ F and a nuclear force strength $v_0=-51\mathrm{}$ MeV gives information concerning the effective interaction for the pair nuclei ${\mathrm{Be}}^{10}$ and ${\mathrm{Ni}}^{58}$.