Conservations in nuclear reactions

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SUMMARY

The discussion clarifies that atomic number and mass number are not conserved in all nuclear decays. In β decay, a neutron transforms into a proton, resulting in a daughter nucleus with the same mass number (A' = A) but an increased atomic number (Z' = Z + 1). Conversely, in α decay, the emission of a helium nucleus leads to a decrease in both mass number (A' = A - 4) and atomic number (Z' = Z - 2). The conservation of mass number is linked to baryon number conservation, while gamma decay typically conserves both quantities.

PREREQUISITES
  • Understanding of nuclear decay processes, specifically β and α decay.
  • Familiarity with atomic structure, including atomic and mass numbers.
  • Basic knowledge of baryon number conservation principles.
  • Awareness of gamma decay characteristics.
NEXT STEPS
  • Research the mechanisms of β decay in detail, including particle interactions.
  • Study α decay and its implications for nuclear stability and reactions.
  • Explore baryon number conservation and its significance in particle physics.
  • Investigate the conditions under which gamma decay occurs and its conservation laws.
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Students and professionals in nuclear physics, researchers studying radioactive decay, and educators teaching atomic structure and nuclear reactions.

Fiona Rozario
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Is the atomic number and mass number conserved in nuclear decays?
 
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No! Take ##\beta## decay, where within a nucleus a neutron decays to a proton, electron, and antielectron neutrino. The daughter nucleus has the same number of nucleons ##A'=A## but ##Z'=Z+1##.

For ##\alpha## decay a nucleus emits a ##_2^4\mathrm{He}## nucleus, i.e., the daughter nucleus has ##A'=A-4## and ##Z'=Z-2##.

https://en.wikipedia.org/wiki/Radioactive_decay#Types_of_decay
 
What decays have you looked it? Are the atomic number and mass number conserved in those decays?
 
Usually not, but that depends upon the type of decay...
 
So mass number is conserved but not atomic number...
 
Fiona Rozario said:
So mass number is conserved but not atomic number...
Right (assuming you count all invovled particles, e.g. including the alpha nucleus in an alpha decay).

The conservation of the sum of mass numbers is equivalent to baryon number conservation. While it is expected that there are processes changing it, it has never been observed.
 
In the case of gamma decay, both are conserved (most of the time).
 

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