High-spin states of theKπ=32+ and 12+bands ofNa23

The ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}({}_{}{}^{15}{}_{}{}^{}\mathrm{N},\alpha ){}_{}{}^{23}{}_{}{}^{}\mathrm{Na}$ reaction was used to populate high-spin states in ${}_{}{}^{23}{}_{}{}^{}\mathrm{Na}$ for incident ${}_{}{}^{15}{}_{}{}^{}\mathrm{N}$ $E_{\mathrm{lab}}=36\mathrm{} \mathrm{to} 39$ MeV. Angular distributions of the reaction $\alpha$ particles were measured and energy averaged $\sigma \left(\theta \right)\text{'}\mathrm{s}$ have been compared to Hauser-Feshbach calculations. We present suggestions for the high-spin members of the $K^{\pi }={\frac{3}{2}}^{+}$ ground-state rotational band through the ${\frac{21}{2}}^{+}$ member and for the $K^{\pi }={\frac{1}{2}}^{+}$ band through the ${\frac{17}{2}}^{+}$ member. The proposed spin assignments are in good agreement with shell model calculations.