Changes

\sqrt{-\epsilon_\gamma} \left( e^{-i\alpha}\left|1\; -1\right\rangle +  

\sqrt{-\epsilon_\gamma} \left( e^{-i\alpha}\left|1\; -1\right\rangle +  

\epsilon_\gamma e^{i\alpha}\left|1\; +1\right\rangle \right) ;  

\epsilon_\gamma e^{i\alpha}\left|1\; +1\right\rangle \right) ;  

J_R \lambda_R \epsilon_R ; t, s; \Omega_0 \rangle

J_R \lambda_R \epsilon_R ; \Omega_0 \rangle

</math>

</math>

::<math>

::<math>

BW_{L_X}^X BW_{L_{b_1}}^{b_1} BW_{L_\omega}^\omega BW_{L_\rho}^\rho

BW_{L_X}^X BW_{L_{b_1}}^{b_1} BW_{L_\omega}^\omega BW_{L_\rho}^\rho e^{-kt}

</math>

</math>

Note that we leave the sum over <math>L_X</math> outside the amplitude of interest. This is convenient in partial wave analysis so that the hypothesized L-states can be listed and summed explicitly. In mass-independent fits, the Breit-Wigner for the resonance is replaced with strength factors that are parameters of the fit.

Note that we leave the sum over <math>L_X</math> outside the amplitude of interest. This is convenient in partial wave analysis so that the hypothesized L-states can be listed and summed explicitly. In mass-independent fits, the Breit-Wigner for the resonance is replaced with strength factors that are parameters of the fit. An exponential dependence of ''t'' is inserted with a coefficient that can be deduced from fits in separate ''t'' bins.

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.