What are the factors that determine the different lifetimes of particle decays?

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Discussion Overview

The discussion focuses on the factors influencing the lifetimes of particle decays, specifically examining the strong, electromagnetic (EM), and weak interactions. Participants explore the theoretical underpinnings and calculations related to the decay rates of various particles.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant notes that particles decaying via the strong interaction have lifetimes around 10^-23 seconds due to the time it takes for information to cross a nucleus at light speed.
  • Another participant questions why EM decays, such as the pi-zero decay to two photons, take about 10^-16 seconds, suggesting that these specific cases are influenced by chiral considerations and the chiral anomaly.
  • A different participant mentions that the weak nuclear force, previously described by Fermi's theory, is now understood to be mediated by W and Z bosons, which have a large mass affecting their decay lifetimes.
  • It is proposed that EM decays generally involve a factor of \(\alpha^2_{EM}\) (approximately 1/137), making them significantly slower than strong decays, while weak decays involve an additional factor related to the mass ratio of the proton and W boson, contributing to their longer lifetimes.

Areas of Agreement / Disagreement

Participants express differing views on the factors affecting decay lifetimes, particularly regarding the comparison between EM and strong decays, and the implications of chiral considerations. The discussion remains unresolved with multiple competing perspectives.

Contextual Notes

Some assumptions about the nature of interactions and decay processes are not fully explored, and the discussion includes references to specific factors affecting decay rates without detailed derivations or consensus on their implications.

Scottbob
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I'm revising for an exam on particle physics and understand the lot, however I'd like clarification on the calculation of lifetimes of particles.

I understand that particles decaying by the strong interaction last roughly 10^-23s because that is the minimum time that information can cross a nucleus of order a fermi (ie at light speed). Also I know that EM decays take about 10^-16 seconds (like in the pi-zero decay to 2 photons), but I'd like to know why? Also why does the weak decay take about 10^-10s? (give or take a few orders of magnitude!)

Thanks.
 
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One could expect EM decays in general to be as faster as strong decays, shouln't one? but the ones you have mentioned are very special ones, they are impossible due to chiral considerations (which I do not remember) and they happen because of the chiral anomaly.
 
Although the weak nuclear force used to be described by Fermi's theory of a contact four-fermion interaction, today we know that it is mediated by the W and Z bosons. Because of their large mass of about 90 GeV/c2, their mean life is limited to about 3 * 10^{-25}seconds
Hope that is helpfull, and sorry about my english.
 
EM decays usually have a factor of \alpha^2_EM (=1/137) in calculating their rate. This makes them about 10^4-10^5 slower than strong decays.
Weak decays have another factor of (M_p/M_W)^2 [~(1/80)^2],
which makes them slowest of all.
 

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