Energy and Momentum Conservation in a p⁺ pion decay process

The process decay is:

Fig.1 A bubble chamber picture. The main event of interest is shown in colour. A decays at rest to a  and a neutrino  

The conservation laws are:

        (2.1)

where  and because the meson decays at rest.

 because the neutrino rest mass .

So        (2.2)

And           (2.3)

Plugging (2.3) into (2.2) gives:

           (2.4)

Subtracting  from (2.3) gives the muon  total energy:

             (2.5)

The neutrino energy is:

         (2.6)

The muon   Kinetic energy is :

         (2.7)

Taking the particles rest masses:

   and

one can calculate these energies:

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