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Nuclear Reactions

Problem 6.277

A neutron with kinetic energy T=10MeVT=10 \mathrm{MeV} activates a nuclear reaction C12(n,α)Be9\mathrm{C}^{12}(n, \alpha) \mathrm{Be}^{9} whose threshold is Tth=6.17MeVT_{t h}=6.17 \mathrm{MeV}. Find the kinetic energy of the alpha-particles outgoing at right angles to the incoming neutrons' direction.

Reveal Answer
 6.277. Tα=1ms+m4[(m4−m1)T−m2m4m1+m2Tth]=2.2MeV, where  \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 } m1,m2,m3,m4m_{1}, m_{2}, m_{3}, m_{4} are the masses of neutron, a C12\mathrm{C}^{12} nucleus, an alpha particle, and a Be9\mathrm{Be}^{9} nucleus.
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