All Problems

Elementary Particles

Problem 6.305

Protons with kinetic energy \(T\) strike a stationary hydrogen target. Find the threshold values of \(T\) for the following reactions: (a) \(p+p \rightarrow p+p+p+\tilde{p}\); (b) \(p+p \rightarrow p+p+\pi^{0}\)

Reveal Answer
6.305 (a) Tth=6mp=5.6GeV; (b) Tth=mπ(4mp+mπ)/2mp==0.28GeV.\begin{aligned} & 6.305 * \text { (a) } T_{t h}=6 m_{p}=5.6 \mathrm{GeV} ; \text { (b) } T_{t h}=m_{\pi}\left(4 m_{p}+m_{\pi}\right) / 2 m_{p}=\\ =& 0.28 \mathrm{GeV} . \end{aligned}