Single-particle $s_{1/2}$ and $d_{5/2}$ states in ${}^{15}\mathrm{N}$ and ${}^{15}\mathrm{O}$

For states in ${}^{15}\mathrm{N}$ and ${}^{15}\mathrm{O}$ that have large single-particle strengths for $2s_{1/2}$ and $1d_{5/2}$, I have computed energy differences for mirror states and widths for unbound states in ${}^{15}\mathrm{O}$. I consider both $T=1$ and $T=0$ cores. Calculated and experimental energies agree well. Results indicate that actual $\ell =0$ spectroscopic factors for two $3/2^{+}$ states are significantly smaller than those recently reported.

Figure 1

Proton spectroscopic factors for $\ell =0$ (circles) and $\ell =2$ (crosses) from the reaction ${}^{14}\mathrm{N}({}^3\mathrm{He},d){}^{15}\mathrm{O}$ [7] are plotted vs neutron $S$'s from ${}^{14}\mathrm{N}(d,p){}^{15}\mathrm{N}$ [6] for mirror pairs. The straight lines correspond to $S_p/S_n=0.65$ (solid lines, $\ell =0$) and 0.63 (dashed lines, $\ell =2$).