By using the complex scaling method, the ${}^{10}\mathrm{C}+p$ resonance parameters are determined in order to investigate the spectroscopic property of the proton-rich nucleus ${}^{11}$N in comparison with the mirror nucleus ${}^{11}$Be which has a typical neutron halo structure. The obtained resonance energy ${(E}_r)$ and width $\left(\Gamma \right)$ of ${}^{11}$N are ${(E}_r,$ Γ)=(1.29 MeV, 1.39 MeV) and (2.12 MeV, 0.95 MeV) for $s_{1/2}$ and $p_{1/2}$ states, respectively. These results are in good agreement with the recent experimental data reported by Axelsson et al. Thomas-Ehrman effect on the ${1/2}^{-}$ and ${1/2}^{+}$ resonance states in ${}^{11}$N is discussed in association with the weakly bound states in ${}^{11}$Be.

• Received 24 February 1997

DOI:https://doi.org/10.1103/PhysRevC.57.975