Inverse Beta Decay: Why is it Forbidden for a Free Proton?

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SUMMARY

Inverse beta decay is forbidden for a free proton due to energy conservation constraints. The reaction p -> n + e(+) + v cannot occur because the mass-energy of the initial state (the free proton) is greater than the combined mass-energy of the final state (the neutron, positron, and neutrino). This results in a negative Q value, making the process energetically unfavorable and thus prohibited.

PREREQUISITES
  • Understanding of beta decay processes
  • Familiarity with conservation of energy principles
  • Knowledge of particle interactions and decay mechanisms
  • Basic grasp of mass-energy equivalence (E=mc²)
NEXT STEPS
  • Study the principles of conservation laws in particle physics
  • Explore the concept of Q value in nuclear reactions
  • Investigate other decay processes involving protons and neutrons
  • Learn about the role of neutrinos in particle interactions
USEFUL FOR

Students of physics, particularly those focusing on nuclear and particle physics, as well as educators and researchers interested in decay processes and conservation laws.

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Homework Statement



Why is the inverse Beta decay forbidden for a free proton?

Homework Equations



p -> n + e(+)(positron) + v (neutrino)

The Attempt at a Solution



Is it because, the change in the Q value must be the same for each decay?
 
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The charge balances out, so it's not a problem with charge conservation. Think energy.
 

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