The low-lying $T=0\mathrm{}$ energy levels of ${\mathrm{F}}^{18}$ are calculated in the harmonic-oscillator shell model using several velocity-dependent one-boson-exchange potential models of the nucleon-nucleon interaction. In these calculations we neglect (a) the short-range correlations which, if they were included, would suppress the repulsive core; and (b) core-polarization effects, which take account of the excitations of the ${\mathrm{O}}^{16}$ core. It is found that the shell-model matrix elements are too replusive, and the energy levels lie too high. In general, good fits to the experimental levels are obtained after reducing the $\omega$-meson coupling constant to compensate for the neglect of the effects (a) and (b).

• Received 2 March 1972

DOI:https://doi.org/10.1103/PhysRevC.6.38