(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A pi+ meson can undergo the following decay process:

pi+ --> muon+ + muon neutrino

where the rest mass of the muon neutrino can be considered as zero. Show that the energy and momentum of the muon+ in the rest frame of the pi+ are given by:

[tex]E^{'}_{\mu}=\frac{(m^{2}_{\pi}+m^{2}_{\mu})c^{2}}{2m_{\pi}}[/tex]

[tex]p^{'}_{\mu}=\frac{(m^{2}_{\pi}-m^{2}_{\mu})c}{2m_{\pi}}[/tex]

2. Relevant equations

Lorentz transformations for energy and momentum.

3. The attempt at a solution

In the rest frame of the pion

[tex]p^{'}_{\mu}=-p^{'}_{\nu}[/tex]

and i know

[tex]E_{\nu}=p_{\nu}c[/tex]

I have attempted the question but i can't get the mass terms in the lab frame on one side and the energy and momentum of the muon in the rest frame of the pion+ on the other side. I feel like I require more information.

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# Homework Help: Pion Decay Process

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