Breit-Wigner propagator Of resonance

In summary, the conversation discusses the use of a propagator in a process involving the decay of an excited nucleon to a nucleon and an Omega meson. The source of the propagator is mentioned, as well as its specific purpose in treating resonances. The construction of a phenomenological vertex for the process is also mentioned, with the reminder that it depends on the quantum numbers of the initial and final particles. The general and universal applicability of the Breit-Wigner propagator is questioned and its use is noted to be often ignored.
  • #1
zhangyang
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Ｉ Want to analyze the decay from a excited nucleon to a nucleon and an Omega meson.I have seen a propagator

upload_2015-3-20_14-0-56.png


upload_2015-3-20_14-1-54.png


which descripes a process : a→b+c

(Eur. Phys. J. A16, 537–547 (2003), Covariant tensor formalism for partial-wave analyses ofψdecay to mesons ,B.S. Zou and D.V. Bugg)

But how could it be obtained? Is it general and universal?

Or ,how to construct a vertex of the process phenominologically?
 
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  • #2
If you want to know exactly where the Breit-Wigner propagator comes from you can look at De Wit - Field Theory in Particle Physics, or Weinberg - Lectures on Quantim Mechanics, the chapter on resonance. The Breit-Wigner distribution (propagator), however, is not general nor universal. It is used to treat resonances and, if I remember correctly, should also contain some finite time corrections, but I'm not sure. However, they are very often ignored.

As far as the phenomenological vertex is concern, it strongly depends on your quantum numbers. What are the initial and final particles?
 

FAQ: Breit-Wigner propagator Of resonance

1. What is the Breit-Wigner propagator of resonance?

The Breit-Wigner propagator of resonance is a mathematical formula used to describe the behavior of resonant particles in particle physics. It takes into account the energy and width of the resonance to calculate the probability of the particle decaying into other particles.

2. How is the Breit-Wigner propagator derived?

The Breit-Wigner propagator is derived from the principles of quantum mechanics and the theory of scattering. It involves complex mathematical calculations and is based on the concept of a propagator, which describes the probability amplitude of a particle propagating from one point to another.

3. What is the significance of the width in the Breit-Wigner propagator?

The width in the Breit-Wigner propagator represents the natural broadening of the resonance due to its finite lifetime. It is related to the uncertainty principle in quantum mechanics and affects the shape of the resonance peak in the particle's energy distribution.

4. How is the Breit-Wigner propagator used in particle physics experiments?

The Breit-Wigner propagator is used to analyze data from particle physics experiments to identify and study resonant particles. By fitting the data to the Breit-Wigner formula, scientists can extract information about the mass, width, and other properties of the resonant particle.

5. Are there any limitations to the Breit-Wigner propagator?

Yes, the Breit-Wigner propagator has limitations when applied to certain types of resonances, such as overlapping resonances or highly asymmetric resonances. In these cases, more sophisticated models are needed to accurately describe the behavior of the particles.

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