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Nuclear Reactions

Problem 6.280

The yield of the nuclear reaction C13(d,n)N14\mathrm{C}^{13}(d, n) \mathrm{N}^{14} has maximum magnitudes at the following values of kinetic energy TiT_{i} of bombarding deuterons: 0.60,0.90,1.55,0.60,0.90,1.55, and 1.80MeV1.80 \mathrm{MeV}. Making use of the table of atomic masses, find the corresponding energy levels of the transitional nucleus through which this reaction proceeds.

Reveal Answer
 6.280. Ei=Eb+mCmd+mCTi=16.7,16.9,17.5 and 17.7MeV \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 EbE_{b} is the binding energy of a deuteron in the transitional nucleus.
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