In a model that treats $T=3/2$ states in $A=15$ as combinations of one-particle, two-hole and three-particle, four-hole, states, we have computed Coulomb energies and hence are able to predict energies in ${}^{15}\mathrm{N}$, ${}^{15}\mathrm{O}$, and ${}^{15}\mathrm{F}$, given the energies in ${}^{15}\mathrm{C}$. Among our findings is that the first two levels of ${}^{15}\mathrm{F}$ are reasonable well described in this (0 + 2)$\hslash \omega$ space, using only the three lowest configurations for each state.

• Received 18 May 2005

DOI:https://doi.org/10.1103/PhysRevC.72.024319