I have been learning particle physics lately but it's been mostly from a theoretical perspective and not a mathematical one so I have yet to come across any such math but my curiosity is peaked.(adsbygoogle = window.adsbygoogle || []).push({});

From what I understand it, this is the process:

[itex]

n \rightarrow p + W^{-}

[/itex]

Followed by:

[itex]

W^{-} \rightarrow e^{-} + \bar{v}_{e}

[/itex]

Since [itex]m_{e} ~= .511 MeV/c^2[/itex] and [itex]m_{v_{e}} << m_{e}[/itex], there is about [itex]79.9995 GeV/c^{2}[/itex] missing. I am unclear where this energy goes. Does it go into the momentum of the electron (since it is ultrarelitivistic during the decay)?

I've tried to solve the equation [itex]E = m^{2}c^{4} + p^{2}c^{2}[/itex] but I get a weird mass for the electron ([itex]5.68 x 10^{-12} kg[/itex]) and I am all around confused by the equation.

If I have the wrong equation, which other one do I use for this type of math? If I am using the write equation, what is the best way of dealing with the units?

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# Calculating energy released from beta decay

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