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Problem Solutions For Introductory | Nuclear Physics By

For exothermic reaction as written, threshold ≈ Coulomb barrier (~1-2 MeV). For endothermic reverse, threshold ≈ 19.8 MeV. Topic: Cross Section & Reaction Rate Problem: A beam of 1 μA of 10 MeV protons strikes a thin ( ^{27}\text{Al} ) target of thickness ( 10^{18} \text{ atoms/cm}^2 ). The reaction ( p + ^{27}\text{Al} \rightarrow ^{28}\text{Si} + \gamma ) has a cross section of 0.5 barns. How many gamma rays per second are produced?

If ( Q = -17.35 ), then ( K_{\text{th}} = 17.35 \times \frac{7+1}{7} = 17.35 \times \frac{8}{7} \approx 19.83 \text{ MeV} ).

These solutions are designed to be pedagogical, showing all steps and reasoning. Problem: Estimate the radius, volume, and mass density of a ( ^{197}_{79}\text{Au} ) nucleus. Given ( R_0 = 1.2 \times 10^{-15} \text{ m} ).