What is decay length in particle physics?

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SUMMARY

Decay length in particle physics refers to the distance a particle travels before decaying, calculated using the formula βcτ for nonrelativistic particles, where β is the velocity as a fraction of the speed of light (c) and τ is the decay lifetime. For relativistic particles, the formula adjusts to βγcτ, incorporating time dilation effects, where γ is the Lorentz factor. An example is the muon, which has a decay lifetime of 2.2 microseconds. Understanding these concepts is crucial for analyzing particle behavior in various physical scenarios.

PREREQUISITES
  • Basic understanding of particle physics
  • Familiarity with the concepts of velocity (β) and speed of light (c)
  • Knowledge of decay lifetime (τ) and its significance
  • Introduction to relativistic effects and the Lorentz factor (γ)
NEXT STEPS
  • Study the implications of time dilation in relativistic physics
  • Explore the properties and behavior of muons in particle physics
  • Learn about the derivation and applications of the Lorentz factor (γ)
  • Investigate other decay processes and their respective decay lengths
USEFUL FOR

Students and researchers in physics, particularly those focused on particle physics and relativistic effects, will benefit from this discussion.

luxiaolei
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Hi,all, what is decay length in particle physics? I could not find on web, so frustrating. Thanks a lot for any helps!
 
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In nonrelativistic situations, if a particle has a velocity v = βc, and a 1/e decay lifetime τ (e.g., 2.2 microseconds for muon), then the distance the particle will travel before decaying is βcτ.

For relativistic particles, we need to add time dilation, so the 1/e decay length becomes βγcτ

Bob S
 
@Bob S; Thanks a lot!
 

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