Free Neutron Decay: Is It True?

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SUMMARY

The decay of a free neutron is characterized by a mean lifetime of approximately 885.7 seconds, not by a half-life. This mean lifetime indicates that while most neutrons decay around this time, the decay process is not random in the same way as traditional half-life decay. Instead, the decay probability is described by the equation P(t) = e-t/τ, where τ represents the mean lifetime. The misconception that neutrons decay all at once after a specific time has been debunked, confirming that they decay at a consistent rate similar to other radioactive materials.

PREREQUISITES
  • Understanding of radioactive decay concepts
  • Familiarity with exponential decay equations
  • Basic knowledge of particle physics
  • Awareness of mean lifetime versus half-life terminology
NEXT STEPS
  • Research the mathematical derivation of the exponential decay formula P(t) = e-t/τ
  • Explore the differences between mean lifetime and half-life in radioactive decay
  • Study the behavior of other radioactive isotopes and their decay rates
  • Investigate the implications of neutron decay in nuclear physics and applications
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Students and professionals in physics, particularly those focused on nuclear and particle physics, as well as educators looking to clarify concepts of radioactive decay.

gmax137
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I was reading a blog where someone stated that the decay of a free neutron is characterized by a 'mean lifetime' but not by a half-life. They went on to indicate that the decay time is not random (in the sense that leads to a true half life) but rather most decay at the mean lifetime (said to be about 15 minutes), and very very few decay at times shorter or longer than this. So if you had a collection of neutrons, they would all be gone (decayed) shortly after the 15 minutes went by (as opposed to the half, then quarter, then 1/8... sequence seen in a half life situation). Is this right? How could that be true, unless the individual neutron "knows" how old it is??
 
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Hi there,

You read a bunch of baloney. Free neutrons acts in exactly the same way as any other radioactive material. They will not decay all at once, but at a certain rate. The "mean-lifetime" is sometimes used to describe radioactive material, which is closely related to the half-life.

For the rest, you seem to understand it in the right way.

Cheers
 
The free neutron free lifetime (the 1/e lifetime) is τ = 885.7 seconds. The probability of decaying at time t is proportional to
P(t) = e-t/τ

α β γ δ ε ζ η θ ι κ λ μ ν ξ ο π ρ ς σ τ υ φ χ ψ ω
 
Thanks -
The guy on the other blog has since recanted & apologized for blathering.
 

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