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Amplitudes for the Exotic b1π Decay
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Revision as of 20:29, 13 August 2011
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20:29, 13 August 2011
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→Assembly of the full amplitude
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== Assembly of the full amplitude ==
== Assembly of the full amplitude ==
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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.
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:<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
Senderovich
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