A potential-model calculation has given reasonably precise values for the energies of the $1/2^{+}$ first excited state of ${}^9\mathrm{B}$ and the excited $0^{+}$ state of ${}^{10}\mathrm{C}$. We here extend this calculation to allow for nonzero widths of the $1/2^{+}$ and $5/2^{+}$ levels of ${}^9\mathrm{Be}$ and ${}^9\mathrm{B}$ that are involved in the calculation. The ${}^9\mathrm{B}\hspace{0.5em}1/2^{+}$ peak energy (but not the resonance energy) appears to be well determined. The ${}^{10}\mathrm{C}\hspace{0.5em}{0}^{+}$ energy is determined sufficiently well to make it unlikely that a state recently observed in ${}^{10}\mathrm{C}$ at 4.20 MeV could be the $0^{+}$ state, as has been suggested.

• Received 25 September 2008

DOI:https://doi.org/10.1103/PhysRevC.79.017302