Breit-Wigner formula derivation

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SUMMARY

The Breit-Wigner formula describes the interaction between an incident particle and a nucleus, specifically highlighting how the probability of absorption increases when the energy of the incident particle resonates with the energy state of the nucleus. This resonance occurs around a specific energy level, denoted as ER, and is characterized by a finite width in energy, indicating the range of energies over which the resonance is effective. The discussion clarifies that this concept is analogous to electron orbitals, where nucleons (protons and neutrons) possess discrete energy states.

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Does anyone know where this forumula comes from?

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http://iopscience.iop.org/0067-0049/134/1/151/fulltext/

I don't quite understand the resonance widths, it's probably a naive question but what is 'resonating' in this context?

Thanks!
 
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I know nothing about this material. However, looking at the formula, it looks like E is resonating around ER.
 
Much like electron orbitals, the nucleons (protons and neutrons) in an atom have discrete energy states. When you have an interaction between an nucleus and an incident particle (proton or neutron for example), the probability that the incident particle will be absorbed is greatly increased if its energy resonates with the energy state of the product (or intermediate) nucleus. The Breit-Wigner formula describes this interaction for certain types of resonances. These resonances have a finite width in energy.
 

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