The discrete $\gamma$ radiation in the interaction of 14.9-MeV neutrons and a natural silicon sample is investigated with a total $\gamma$-radiation measurement (TGRM) technique. Fifty prompt $\gamma$ lines, one delayed $\gamma$ line, and seven final nuclei are identified. Forty-one possible transitions are designated. Differential production cross sections of 40 $\gamma$ lines at ${40}^{°}$, ${55}^{°}$, ${90}^{°}$, ${125}^{°}$, and ${140}^{°}$ are determined. Using relative differential production cross sections, accurate integral isotopic cross sections of the ${}^{28}\mathrm{Si}$($n$,$p$)${}^{28}\mathrm{Al}$ reaction are determined, and partial integral isotopic cross sections of the ${}^{28}\mathrm{Si}$($n$,$n$′)${}^{28}\mathrm{Si}$, ${}^{28}\mathrm{Si}$($n$,$\alpha$)${}^{25}\mathrm{Mg}$, ${}^{29}\mathrm{Si}$($n$,$n$′)${}^{29}\mathrm{Si}$, and ${}^{30}\mathrm{Si}$($n$,$n$′)${}^{30}\mathrm{Si}$ reaction channels are also estimated. The present results are in good agreement with some recent experimental and evaluated results.

• Received 17 July 2010

DOI:https://doi.org/10.1103/PhysRevC.82.047602