Why does ψ'' have a lower leptonic branching ratio compared to ψ' and J/ψ?

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SUMMARY

The discussion centers on the significantly lower leptonic branching ratio of the ψ'' charmonium state compared to ψ' and J/ψ. This phenomenon is attributed to OZI suppression, which limits the decay channels available to ψ''. Specifically, the ψ'' can decay into D mesons due to its mass being above the open charm threshold, allowing it to split into two charm quarks. In contrast, ψ' and J/ψ do not have this decay option, leading to their comparatively higher branching ratios.

PREREQUISITES
  • Understanding of charmonium states and their properties
  • Knowledge of OZI suppression in particle physics
  • Familiarity with decay processes of mesons
  • Basic concepts of quark-antiquark pair dynamics
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  • Research the implications of OZI suppression on particle decay rates
  • Study the properties and decay channels of the ψ(3770) charmonium state
  • Explore the role of charm quarks in meson decays
  • Investigate the experimental methods for measuring leptonic branching ratios
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Particle physicists, researchers studying meson decays, and students interested in the properties of charmonium states will benefit from this discussion.

Ichimaru
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I'm looking at charmonium and its decays. Given a list of data on the charmonium states I'm asked to say why ψ'' has a leptonic branching ratio a thousand times small than ψ' and J/ψ.

From my understanding this is due to OZI suppression. But I'm having a hard time understanding it intuitively. Why can't any charmonium state annihilate via the strong force to another quark antiquark pair? What is the decay available to the ψ'' that isn't available to ψ' and J/ψ?

Thanks!
 
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Isn't it just that the heavier ##\psi(3770)## is heavy enough it can decay rapidly into D mesons that carry away the charm, the lighter ones can't.

See http://pdg8.lbl.gov/rpp2013v2/pdgLive/Particle.action?node=M053
 
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Yes, the right answer is that one. The ψ'' is the first charmonium above the open charm threshold and therefore it's much more convenient for it to decay into two D mesons, basically just splitting the two pre-existing charm quarks.
 

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