How Long Does the Y Meson Last?

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SUMMARY

The Y Meson, with a rest mass of 9.6 GeV/c² and a measured width of ΔE = 51 keV, can be analyzed using the equation E = mc² to determine its lifetime. The relationship between the width and lifetime is established through the uncertainty principle, which relates energy width to lifetime via ΔEΔt ≥ ħ/2. Utilizing Planck's reduced constant (ħ = 1.055 x 10^-34 J·s), the approximate lifetime of the Y Meson can be calculated, providing insights into its stability and decay processes.

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  • Understanding of quantum mechanics principles
  • Familiarity with the uncertainty principle
  • Knowledge of particle physics, specifically mesons
  • Basic proficiency in using energy-mass equivalence (E=mc²)
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  • Calculate the lifetime of the Y Meson using ΔE and ħ
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Homework Statement



The Y Meson has a rest mass of 9.6 GeV/c2 and a measured width of (Delta)E= 51keV. What is its approximate lifetime (delta)t?

Homework Equations


E=MC2

And.. who knows?

The Attempt at a Solution



We came to the conclusion that 9.6 GeV/c2 was related to E=MC2.. and we pretty much had no idea with the measured width of (Delta)E= 51keV ( we thought it might be related to electric fields though).
 
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(Note: Planck's Reduced constant = 1.055x10^-34 and 1 ev = 1.6x10^-19 J)

The question gives you that information
 

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