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

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Homework Help Overview

The discussion revolves around the energy balance of the beta plus decay of $^{22}_{11}Na$, specifically considering the excited state of the resulting $^{22}_{10}Ne$. Participants are exploring how to account for the additional energy associated with the excited state in the decay process.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to formulate the energy balance equation while questioning how to incorporate the excited state energy of $^{22}_{10}Ne$. There is uncertainty regarding the correct setup of the energy equation and how to handle the additional energy from the excited state.

Discussion Status

The discussion is ongoing, with participants providing insights into the energy contributions from the excited state. Some guidance has been offered regarding the definition of energy terms, but there is no clear consensus on the correct approach yet.

Contextual Notes

Participants are grappling with the implications of the excited state energy and how it affects the overall energy balance in the decay process. There is a reference to external resources for additional context, but no specific information has been resolved.

skrat
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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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