Difference between revisions of "Variables Used in Elastic Scattering"

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=Lorentz Invariant Quantities=
 
As was shown earlier
 
  
[[DV_Calculations_of_4-momentum_components#4-Momentum_Invariants | shown earlier]]
 
 
the scalar product of a 4-Momentum vector with itself ,<math>{\mathbf P_1}\cdot {\mathbf P^1}=E_1E_1-\vec p_1\cdot \vec p_1 =m_{1}^2=s</math> , and the length of a 4-Momentum vector composed of 4-Momentum vectors, <math>{\mathbf P^2}=({\mathbf P_1}+{\mathbf P_2})^2=(E_1+E_2)^2-(\vec p_1 +\vec p_2 )^2=(m_1+m_2)^2=s</math>, are invariant quantities.
 
 
=Mandelstam Representation=
 
 
[[File:Mandelstam.png | 400 px]]
 

Latest revision as of 19:10, 1 June 2017