Core-Excited5+State inN14

The proton and $\gamma$-ray decay of the $T=0\mathrm{}$ level at $E_x=10.81\mathrm{}$ MeV in ${}_{}{}^{14}{}_{}{}^{}\mathrm{N}$ has been studied with the reactions ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}({}_{}{}^3{}_{}{}^{}\mathrm{He},p){}_{}{}^{14}{}_{}{}^{}\mathrm{N}\left(p^{\prime }\right){}_{}{}^{13}{}_{}{}^{}\mathrm{C}_{\mathrm{g}.\mathrm{s}.\mathrm{}}^{}{}_{}{}^{}$ and ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}({}_{}{}^3{}_{}{}^{}\mathrm{He},p\gamma ){}_{}{}^{14}{}_{}{}^{}\mathrm{N}$ at an incident ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ energy of 14 MeV. The state was populated in an axially symmetric geometry in which the outgoing reaction protons were detected at 0° to the incident beam direction at the focus of a magnetic spectrometer. Analysis of the decay proton and $\gamma$-ray angular correlations leads to an assignment of $J^{\pi }=5^{+}$ to the 10.81-MeV state. The $\gamma$-ray decay goes entirely to the $J^{\pi }=3^{+}$, $T=0\mathrm{}$ state at $E_x=6.44\mathrm{}$ MeV; the fractional $\gamma$-ray branch of the 10.81-MeV state was measured as $\frac{{\Gamma }_{\gamma }}{{\Gamma }_{\mathrm{total}}}=(4.1\mathrm{}\pm 0.8)\%$.