All Problems Nuclear Reactions
Problem 6.280
The yield of the nuclear reaction \(\mathrm{C}^{13}(d, n) \mathrm{N}^{14}\) has maximum magnitudes at the following values of kinetic energy \(T_{i}\) of bombarding deuterons: \(0.60,0.90,1.55,\) and \(1.80 \mathrm{MeV}\). Making use of the table of atomic masses, find the corresponding energy levels of the transitional nucleus through which this reaction proceeds.
\[ \text { 6.280. } E_{i}=E_{b}+\frac{m_{\mathrm{C}}}{m_{d}+m_{\mathrm{C}}} T_{i}=16.7,16.9,17.5 \text { and } 17.7 \mathrm{MeV} \] where \(E_{b}\) is the binding energy of a deuteron in the transitional nucleus.