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## Homework Statement

What is the mass difference of the following process:

^{13}N →

^{13}C + e

^{+}+ v

_{e}

## 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?