All Problems

Nuclear Reactions

Problem 6.249

An alpha-particle with kinetic energy \(T_{\alpha}=7.0 \mathrm{MeV}\) is scattered elastically by an initially stationary \(\mathrm{Li}^{6}\) nucleus. Find the kinetic energy of the recoil nucleus if the angle of divergence of the two particles is \(\Theta=60^{\circ}\)

Reveal Answer
\[ \text { 6.249. } T=T_{\alpha} /\left[1+(M-m)^{2} / 4 m M \cos ^{2} \Theta\right]=6.0 \mathrm{MeV}, \text { where } \] \(m\) and \(M\) are the masses of an alpha particle and a lithium nucleus.