What does the symbol sigma represent in electromagnetic calorimetry equations?

GoBluePhysics
Messages
3
Reaction score
0
Quick question regarding E-Cals. I am giving a presentation on them soon and I understand just about everything I am supposed to, but I keep encountering one symbol and I simply don't understand what it is supposed to mean.
##\frac{d\sigma}{dx}=\frac{A}{X_0N_A}\bigg[1-\frac{4}{3}x(1-x)\bigg] ##
## \sigma_{pair}\approx \frac{7A}{9N_AX_0}##
These equations are supposed to describe pair production. However, I simply don't understand what the sigma is meant to be. I think it is something along the lines of a distribution of resulting particles from the pair production given an intensity of incident particle, but the same ##\sigma## is used to describe things like photoelectric effect and compton scattering. Any assistance would be greatly appreciated! Thanks!
 
Physics news on Phys.org
GoBluePhysics said:
Quick question regarding E-Cals. I am giving a presentation on them soon and I understand just about everything I am supposed to, but I keep encountering one symbol and I simply don't understand what it is supposed to mean.
##\frac{d\sigma}{dx}=\frac{A}{X_0N_A}\bigg[1-\frac{4}{3}x(1-x)\bigg] ##
## \sigma_{pair}\approx \frac{7A}{9N_AX_0}##
These equations are supposed to describe pair production. However, I simply don't understand what the sigma is meant to be. I think it is something along the lines of a distribution of resulting particles from the pair production given an intensity of incident particle, but the same ##\sigma## is used to describe things like photoelectric effect and compton scattering. Any assistance would be greatly appreciated! Thanks!

Usually sigma is a cross section. It is an effective area. Sometimes measured (cheekily) in "barns." It can be thought of as being akin to the size of target attached to a particular particle, the "hitting" of which will result in a particular process. Large cross section --> likely process. Small cross section --> unlikely process.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In her YouTube video Bell’s Theorem Experiments on Entangled Photons, Dr. Fugate shows how polarization-entangled photons violate Bell’s inequality. In this Insight, I will use quantum information theory to explain why such entangled photon-polarization qubits violate the version of Bell’s inequality due to John Clauser, Michael Horne, Abner Shimony, and Richard Holt known as the...
Not an expert in QM. AFAIK, Schrödinger's equation is quite different from the classical wave equation. The former is an equation for the dynamics of the state of a (quantum?) system, the latter is an equation for the dynamics of a (classical) degree of freedom. As a matter of fact, Schrödinger's equation is first order in time derivatives, while the classical wave equation is second order. But, AFAIK, Schrödinger's equation is a wave equation; only its interpretation makes it non-classical...
I am not sure if this falls under classical physics or quantum physics or somewhere else (so feel free to put it in the right section), but is there any micro state of the universe one can think of which if evolved under the current laws of nature, inevitably results in outcomes such as a table levitating? That example is just a random one I decided to choose but I'm really asking about any event that would seem like a "miracle" to the ordinary person (i.e. any event that doesn't seem to...

Similar threads

Replies
4
Views
1K
Replies
1
Views
4K
Replies
35
Views
28K
Replies
4
Views
4K
Back
Top