Background Info on Breit-Wigner Formula for Cross Section Interaction

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In summary, the Breit-Wigner formula is a mathematical equation developed by Gregory Breit and Eugene Wigner in the 1930s to describe the probability of particle interactions in a scattering process. It is an important tool in various fields of physics and is derived from the principles of quantum mechanics and scattering amplitudes. However, it has limitations such as assuming point-like and non-interacting particles and not accounting for higher order interactions or high energies.
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Peter Woolley
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Hi,

Can someone give me some background info on this forumla for the cross section of interaction between two spinless particles.

Any information will be of use.

Pete.
 
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The Breit-Wigner formula is a mathematical equation used to describe the cross section of interaction between two spinless particles, such as in nuclear physics or particle physics. It was developed by the physicists Gregory Breit and Eugene Wigner in the 1930s and has since become an important tool in understanding particle interactions.

The formula takes into account the energy dependence of the interaction and is based on the concept of resonance. In particle physics, a resonance occurs when a particle is created with a certain energy and then decays into other particles. The Breit-Wigner formula helps to calculate the probability of this type of interaction occurring at a given energy.

The formula is also used to describe the shape of a resonance peak in particle scattering experiments. This peak represents the energy at which the particles are most likely to interact, and the width of the peak is related to the lifetime of the resonance.

In addition to its use in particle physics, the Breit-Wigner formula has also been applied in other fields such as nuclear physics, astrophysics, and even in the analysis of financial data. It is a versatile and powerful tool in understanding the behavior of particles and their interactions.

I hope this information helps to give you a better understanding of the Breit-Wigner formula and its significance in the study of particle interactions. If you have any further questions, please don't hesitate to ask. Good luck with your research!
 

FAQ: Background Info on Breit-Wigner Formula for Cross Section Interaction

What is the Breit-Wigner formula for cross section interaction?

The Breit-Wigner formula is a mathematical equation used to describe the probability of particles interacting in a scattering process. It takes into account the energy of the particles, the width of the resonance, and the strength of the interaction.

Who developed the Breit-Wigner formula?

The Breit-Wigner formula was developed independently by Gregory Breit and Eugene Wigner in the 1930s. They were both physicists working on nuclear and particle physics at the time.

What is the significance of the Breit-Wigner formula?

The Breit-Wigner formula is an important tool in understanding and predicting particle interactions in various fields of physics, including nuclear physics, particle physics, and astrophysics. It helps to explain the behavior of particles in resonance states and is used in data analysis and experimental design.

How is the Breit-Wigner formula derived?

The Breit-Wigner formula is derived from the principles of quantum mechanics and the concept of scattering amplitudes. It takes into account the energy levels of the particles involved, their interactions, and the probability of them being in a resonance state.

What are some limitations of the Breit-Wigner formula?

While the Breit-Wigner formula is a useful tool, it has some limitations. It assumes that the particles involved are point-like and non-interacting, which is not always the case. It also does not take into account the effects of higher order interactions and can break down at high energies.

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