Photodisintegration reactions play a crucial role in both fundamental physics and applied physics. The ${}^{13}\mathrm{C}(p,\gamma ){}^{14}\mathrm{N}$ reaction provides a potential quasimonoenergetic $\gamma$-ray source with an energy of 9.17 MeV, offering a promising avenue for studying the data discrepancy in photodisintegration reactions. The yield of 9.17 MeV $\gamma$ rays is intrinsically related to the width of the 9.17 MeV level in the compound nucleus ${}^{14}\mathrm{N}$ formed during the reaction. However, previous measurements of the width of this level have shown significant discrepancies, amounting to differences of up to a factor of 1.5. In the present study, we utilized a modern high-resolution $\gamma$ ray detection system and employed the resonance absorption method to obtain a more accurate determination of the width. Our results indicate that the total width of the 9.17 MeV energy level in ${}^{14}\mathrm{N}$ is $\mathrm{\Gamma }={81}_{-14}^{+8}\mathrm{eV}$, which is consistent with the results in 1959 but deviates from those reported in 1989. Our results help resolve the large discrepancies in the resonance width, and this improvement will further advance photonuclear studies and enhance nuclear reaction databases. Shell-model calculations were performed to understand the width difference between the two isospin $T=1 2^{+}$ states at 9.17 and 10.43 MeV.

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• Direct reactions
• Nuclear reactions
• Resonance reactions
• 6 ≤ A ≤ 19