- #1
bayners123
- 31
- 0
Hey!
I'm hoping someone can help me understand a basic problem I'm having with understanding the BW formula:
[tex]
\sigma(i,j) = \frac{\pi}{k^2} \frac{\Gamma_i \Gamma_j}{(E - E_0)^2 + \Gamma}
[/tex]
In this, [itex]E_0[/itex] is the "characteristic rest mass energy of the resonance." I thought this meant the rest mass of the intermediate particle for the resonance, but in the case of a photon how does this work?
Then I tried to consider the products, but surely the energy of the final system, and therefore it's rest mass, depends on the energy of the incident particles?
The specific reaction I'm trying to understand is [itex] e^- + e^+ \rightarrow \gamma \rightarrow \mu^- + \mu^+ [/itex]
Thanks for any help!
I'm hoping someone can help me understand a basic problem I'm having with understanding the BW formula:
[tex]
\sigma(i,j) = \frac{\pi}{k^2} \frac{\Gamma_i \Gamma_j}{(E - E_0)^2 + \Gamma}
[/tex]
In this, [itex]E_0[/itex] is the "characteristic rest mass energy of the resonance." I thought this meant the rest mass of the intermediate particle for the resonance, but in the case of a photon how does this work?
Then I tried to consider the products, but surely the energy of the final system, and therefore it's rest mass, depends on the energy of the incident particles?
The specific reaction I'm trying to understand is [itex] e^- + e^+ \rightarrow \gamma \rightarrow \mu^- + \mu^+ [/itex]
Thanks for any help!