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== Assembly of the full amplitude ==
 
== Assembly of the full amplitude ==
    +
Putting together the amplitudes discussed above, we arrive at the complete amplitude of photo-production of resonance X and decay to the given final state.
 
:<math>
 
:<math>
 
\sum_{L_X} A_{L_X \epsilon_\gamma \epsilon_R}^{J_X}=
 
\sum_{L_X} A_{L_X \epsilon_\gamma \epsilon_R}^{J_X}=
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The intensity would then require an incoherent summation of amplitudes with laboratory x and y polarization.
 
The intensity would then require an incoherent summation of amplitudes with laboratory x and y polarization.
:<math>
+
:<math>I=
 
\frac{1+f}{2}\left|\sum_{L_X} A_{L_X\;-1\;\epsilon_R}^{J_X}\right|^2 +
 
\frac{1+f}{2}\left|\sum_{L_X} A_{L_X\;-1\;\epsilon_R}^{J_X}\right|^2 +
 
\frac{1-f}{2}\left|\sum_{L_X} A_{L_X\;+1\;\epsilon_R}^{J_X}\right|^2
 
\frac{1-f}{2}\left|\sum_{L_X} A_{L_X\;+1\;\epsilon_R}^{J_X}\right|^2
1,004

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