Resonance Peak Width: How Does it Relate to Scattering Processes?

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    Peak Resonance Width
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Discussion Overview

The discussion revolves around the relationship between the width of a resonance peak and scattering processes, specifically focusing on the intermediate particle C in the reaction A+B > C > E+D. Participants explore how the observed width of the resonance peak correlates with the total width of particle C.

Discussion Character

  • Technical explanation, Debate/contested

Main Points Raised

  • One participant queries the relationship between the resonance peak width of particle C and its total width when analyzing the invariant mass of particles E and D.
  • Another participant references the Breit-Wigner distribution, suggesting it is modeled by a Cauchy distribution.
  • It is claimed that the observed width of a mass distribution is always equal to the total width of the resonant state.
  • A participant raises a question about the implications of a total width of 2 GeV for the intermediate particle, contrasting it with a scenario where the resonant particle has a total width of 600 GeV.
  • In response, another participant notes that a very wide resonance would be observed in the latter case and mentions the importance of considering any modifications to the propagator.

Areas of Agreement / Disagreement

Participants express differing views on how the total width of the resonant state affects the observed width, indicating that the discussion remains unresolved with multiple competing perspectives.

Contextual Notes

There are assumptions regarding the definitions of width and resonance, as well as the dependence on the specific scattering processes being discussed. The implications of varying total widths on observed widths are not fully explored.

Safinaz
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Hi all,

I'd like to know what if we have a scatteing process A+B > C > E+D,
what is the relation between the width of the resonance peak of the particle C at
plotting the inv. mass of particles E and D and the total width of C .

Regards,
S.
 
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This is the breit wigner. Which is modeled by a Cauchy distribution.
 
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The observed width of any particular mass distribution is always the total width of the resinant state.
 
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How, if the total width of the intermediate particle for example = 2 GeV, the observed width will be 2 cm ..
what if the resinant particle is heavy and has a large total width, like 600 GeV ?
 
Then you see a very wide resonance. And take into account any hanged to the propagator.
 

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