All Problems

Elementary Particles

Problem 6.305

Protons with kinetic energy TT strike a stationary hydrogen target. Find the threshold values of TT for the following reactions: (a) p+pp+p+p+p~p+p \rightarrow p+p+p+\tilde{p}; (b) p+pp+p+π0p+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}