Show that `(._(26)^(55)Fe)` may electron capture, but not `beta^(+)` decay.
Masses given are `M(._(26)^(55)Fe)=54.938298 am u`,
`M(._(25)^(55)Mn)=54.938050 am u, m(e )=0.000549 am u`.

Explanation

To determine whether \( _{26}^{55}\text{Fe} \) can undergo electron capture but not beta plus decay, we will calculate the disintegration energies (Q-values) for both processes and analyze the results.

### Step 1: Write the equations for both processes

1. **Electron Capture**:
\[ _{26}^{55}\text{Fe} + e^- \rightarrow _{25}^{55}\text{Mn} + \nu_e \]
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