Is charge conserved in positron emission?

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SUMMARY

In positron emission, as exemplified by the reaction ^{39}_{20}Ca \rightarrow ^{39}_{19}K + \beta^{+}, charge conservation is maintained despite appearances. The reaction involves a proton in the Calcium nucleus converting into a neutron and emitting a positron. While the equation may seem unbalanced, the emitted positron results in an excess electron in the atom's shells, which is not typically represented in nuclear equations. This highlights the distinction between nuclear and chemical reactions, where the focus is primarily on the nucleus.

PREREQUISITES
  • Understanding of nuclear reactions and decay processes
  • Familiarity with particle physics terminology, specifically positron and neutron
  • Knowledge of atomic structure, including protons, neutrons, and electrons
  • Basic grasp of charge conservation principles in physics
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  • Research the principles of nuclear decay, focusing on beta decay mechanisms
  • Explore the concept of charge conservation in various types of nuclear reactions
  • Learn about ionizing radiation and its effects on atomic structures
  • Investigate the behavior of electrons post-positron emission in atomic interactions
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Students of physics, nuclear scientists, and anyone interested in understanding the principles of nuclear reactions and charge conservation in particle physics.

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Consider the reaction:

^{39}_{20}Ca \rightarrow ^{39}_{19}K + \beta^{+}

I understand that a proton in the Calcium nucleus is being split into a neutron, which stays in the nucleus, and a positron, which gets ejected.

But if you look at the equation above, charge is not conserved. The only thing I can think of doing to balance is to consider the potassium product as a negative ion, but that makes no sense to me?

Or perhaps I am missing something. Or perhaps it has something to do with the number of electrons in play.

Any help is appreciated. Thanks!

BiP
 
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Charge is conserved always. Equation is just not complete, but when writing nuclear reaction we don't pay much attention to such things, we concentrate on what is important from the point of view of the nucleus (this is not a chemical reaction). Once the positron is emitted you end with an excess electron in the atom shells. Later this electron will look for a better place for itself, which usually means traveling to some other atom/ion whatever.
 
I see! Thanks Borek!
So techniclly, the potassium is actually an anion but we don't really care about that charge in nuclear reactions since the electron will quickly move somewhere else right?

BiP
 
More or less.

Depending on the nuclear reaction it may happen that nucleus (or several) lands in a different place it originally was (think fission). They move independently from the electrons generating a mess on their way (there is a reason why we call some forms of radiation ionizing).
 

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