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ian2012
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Homework Statement
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]
Homework Equations
Lorentz transformations for energy and momentum.
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.