Energy Balance of Beta+ Decay of $^{22}_{11}Na$

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The discussion focuses on calculating the energy balance for the beta-plus decay of $^{22}_{11}Na$ to $^{22}_{10}Ne$, considering that the latter is in an excited state with an energy of 1.25 MeV. Participants express confusion about incorporating the excited state into the energy balance equation. One user attempts to formulate the equation but finds their result nonsensical, indicating a misunderstanding of how to account for the additional energy from the excited state. Clarification is provided that the energy difference should be included in the calculations, confirming that the decay process must account for the excitation energy. The conversation emphasizes the importance of accurately defining energy terms in nuclear decay equations.
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Homework Statement


If we have a beta + deca: $$^{22}_{11}Na(3^+)\rightarrow ^{22}_{10}Ne(2^+)+ e^+ +\nu $$ with $t_{1/2}=2.6 years$, what is the energy balance at this decay, if you know that $^{22}_{10}Ne(2^+)$ is an excited state of $^{22}_{10}Ne$ with $1.25 MeV$ larger energy.

Homework Equations

The Attempt at a Solution



Ok, I don't know how to take into account that $^{22}_{10}Ne(2^+)$ is not ground state.

I tried like this:

$(m(Na)-m(Ne))c^2- \Delta E=-1.2MeV$ which is a complete nonsense.. Now I don't get it what am I doing wrong?

I used this: http://www.science.co.il/PTelements.asp
 
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The right side has 1.25 MeV more energy than you would expect. Nothing magical. You would get the same result if the right side would have an additional particle with an energy of 1.25 MeV.
 
So...

##E=m(Na) c^2-m(Ne)c^2-m_ec^2-\Delta E##

or?
 
If you define ##\Delta E## to be 1.25 MeV, yes.
 
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