All Problems Nuclear Reactions
Problem 6.277
A neutron with kinetic energy \(T=10 \mathrm{MeV}\) activates a nuclear reaction \(\mathrm{C}^{12}(n, \alpha) \mathrm{Be}^{9}\) whose threshold is \(T_{t h}=6.17 \mathrm{MeV}\). Find the kinetic energy of the alpha-particles outgoing at right angles to the incoming neutrons' direction.
\[ \text { 6.277. } T_{\alpha}=\frac{1}{m_{\mathrm{s}}+m_{4}}\left[\left(m_{4}-m_{1}\right) T-\frac{m_{2} m_{4}}{m_{1}+m_{2}} T_{t h}\right]=2.2 \mathrm{MeV}, \text { where } \] \(m_{1}, m_{2}, m_{3}, m_{4}\) are the masses of neutron, a \(\mathrm{C}^{12}\) nucleus, an alpha particle, and a \(\mathrm{Be}^{9}\) nucleus.