Showing posts with label mandelstam variables. Show all posts
Showing posts with label mandelstam variables. Show all posts

Tuesday, July 13, 2010

Mandelstam Variables

Two particle into two particle scattering is a common topic in the field of particle physics and is studied so often that special notation has been developed to facilitate discussion of such processes. The convention uses the "so-called" Mandelstam variables (s,t,u) where (p_i) represents the momentum of the four particles ():




These variables completely describe the momentum space of the problem in a Lorentz invariant way. One of the useful properties of this choice of variables is the fact that:




Furthermore we can elucidate these conditions by drawing the corresponding Feynman diagrams for each process.


s-channel
t-channel
u-channel