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

In summary, the conversation discusses the relationship between the width of the resonance peak of particle C and the total width of C in a scattering process. It is mentioned that the observed width of any particular mass distribution is always equal to the total width of the resonant state. The conversation also mentions the Breit Wigner model and how it is modeled by a Cauchy distribution. It is then questioned what would happen if the total width of the intermediate particle is 2 GeV and if the resonant particle is heavy with a total width of 600 GeV. The response is that a wider resonance would be seen and any changes to the propagator must also be taken into account.
  • #1
Safinaz
259
8
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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  • #2
This is the breit wigner. Which is modeled by a Cauchy distribution.
 
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  • #3
The observed width of any particular mass distribution is always the total width of the resinant state.
 
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  • #4
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 ?
 
  • #5
Then you see a very wide resonance. And take into account any hanged to the propagator.
 

1. What is the width of the resonance peak?

The width of the resonance peak is a measure of the range of frequencies over which a system or material can resonate. It is typically measured in units of hertz (Hz) and can vary depending on the characteristics of the system or material.

2. How is the width of the resonance peak determined?

The width of the resonance peak is determined by measuring the frequency response curve of a system or material. This curve shows the relationship between the input frequency and the output amplitude. The width of the peak is then calculated by finding the difference between the two frequencies at which the amplitude is half of the maximum value.

3. What factors can affect the width of the resonance peak?

The width of the resonance peak can be affected by several factors, including the damping of the system, the quality factor of the material, and the external stimuli or forces acting on the system. Additionally, the physical properties of the material, such as its density and elasticity, can also impact the width of the peak.

4. Why is the width of the resonance peak important?

The width of the resonance peak can provide valuable information about the behavior and properties of a system or material. It can help determine the natural frequency of the system, which is important in applications such as tuning musical instruments or designing vibration-resistant structures. It can also indicate the level of damping present in a system, which is crucial in controlling and reducing unwanted vibrations.

5. Can the width of the resonance peak be altered?

Yes, the width of the resonance peak can be altered by changing the characteristics of the system or material. For example, increasing the damping in a system can decrease the width of the peak, while decreasing the damping can increase the width. Similarly, changing the physical properties of a material, such as its stiffness or density, can also affect the width of the peak.

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