Beta plus decay

  • Thread starter sunrah
  • Start date
  • #1
198
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Homework Statement


What is the mass difference of the following process:
13N → 13C + e+ + ve


Homework Equations


Δm = m(A,Z) - m(A, Z-1) - m(e+)

Neutrino has negligible mass.
Z proton number
A = N + Z, where N is number of neutrons

The Attempt at a Solution



[itex]
\begin{align}
\Delta m &= m(^{13}N) - m(^{13}C) - m(e^{+})\\
&= (7\cdot m_{p} + 6\cdot m_{n}) - (6\cdot m_{p} + 7\cdot m_{n}) - m_{e}\\
&= m_{p} - m_{n} - m_{e} = const < 0
\end{align}
[/itex]

so the energy of all beta decay is the same and negative?
 

Answers and Replies

  • #2
NascentOxygen
Staff Emeritus
Science Advisor
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[itex]
\begin{align}
\Delta m &= m(^{13}N) - m(^{13}C) - m(e^{+})\\
\end{align}
[/itex]
It is a long time since my first year physics, but I reckon you need the isotopic mass of each of these isotopes, at this point. http://en.wikipedia.org/wiki/Isotopes_of_carbon

so the energy of all beta decay is the same and negative?
My money's on "NO". :smile:
 

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