Subatomic rotations in a plane Abelian group

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SUMMARY

The discussion focuses on calculating the partial width of the Z boson decay into electron-positron pairs (Z → e+e-) and comparing the lifetimes of the Z boson and the J/ψ meson. The partial width is determined to be 0.084 GeV based on the Z boson's total width of 2.4952 GeV and its decay probability of 3.363%. The J/ψ meson, with a width of 93.4 KeV, has a longer lifetime than the Z boson due to its smaller width, which inversely correlates with lifetime. The calculation of the J/ψ lifetime is also discussed, though the user expresses uncertainty about the approach.

PREREQUISITES
  • Understanding of particle physics concepts, specifically decay widths and lifetimes.
  • Familiarity with the properties of the Z boson and J/ψ meson.
  • Basic knowledge of the relationship between energy, decay width, and lifetime.
  • Ability to perform calculations involving particle decay percentages.
NEXT STEPS
  • Research the formula for calculating particle lifetimes from decay widths.
  • Study the properties and decay channels of the Z boson in detail.
  • Learn about the J/ψ meson and its significance in quantum chromodynamics (QCD).
  • Explore the concept of resonance and its impact on particle lifetimes and widths.
USEFUL FOR

Students and researchers in particle physics, particularly those studying the properties of bosons and mesons, as well as anyone interested in the calculations related to particle decay processes.

genloz
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Homework Statement


5. The Z boson has a width of 2.4952 GeV:
a. The Z decays 3.363% of the time in e+e-calculate the partial width of
[tex]Z \rightarrow e+e-[/tex].
b. The
[tex]J/ \psi[/tex] (A cc bar state) has a width of 93.4 KeV. Is its lifetime is longer or shorter than the Z lifetime? Explain.
c. Calculate the
[tex]J/ \psi[/tex] lifetimes.

Homework Equations


None given.


The Attempt at a Solution



(a) I think: 2.4952/100*3.363=0.084GeV is correct but I'm not sure why?

(b) I figure a bigger E means a smaller t, so it would be longer, but again I'm not sure of the physics...

(c) I have no idea how to start... does
[tex]J/ \psi[/tex] lifetimes have another more google friendly search name?

Thanks!
 
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Whoops, I typed in the wrong title and now can't work out how to change it...sorry!
 

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