1.

A stationary positive muon disintegrated into a positron and two neutrions. Find the greatest possible kinetic energy of the positron.

Answer»

Solution :The REACTION is
`mu^(+)rarre^(+)+barv_(e )+barv_(mu)`
The neutrinoes are massless. The positron will carry largest MOMENTUM if both neutriones `(v_(e )&bar(v)_(mu))` move in the same direction in the REST frame of the noun. Then the final product is effectively a two body system and we get from problem (295)
`(T_(e^(+)))_(max)=((m_(mu)-m_(e ))^(2))/(2m_(mu))`
SUBSTITUTION gives `(T_(e^(+)))_(max)= 52.35MeV`


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