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Line 219: − ::<math> − BW_{L_X}^X BW_{L_{b_1}}^{b_1} BW_{L_\omega}^\omega BW_{L_\rho}^\rho e^{-kt} − </math> Line 233:
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Amplitudes for the Exotic b1π Decay (view source)
Revision as of 20:23, 15 August 2011
, 20:23, 15 August 2011→Assembly of the full amplitude
</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. An exponential dependence of ''t'' is inserted with a coefficient that can be deduced from fits in separate ''t'' bins.
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.
where f is the polarization fraction varying from 1, 100% x-polarized, to 0, unpolarized.
where f is the polarization fraction varying from 1, 100% x-polarized, to 0, unpolarized.
\sum_{L_X \epsilon_R} A_{L_X \epsilon_\gamma \epsilon_R}^{J_X}=
\sum_{L_X \epsilon_R} A_{L_X \epsilon_\gamma \epsilon_R}^{J_X}=
::<math>
BW_{L_X}^X BW_{L_{b_1}}^{b_1} BW_{L_\omega}^\omega BW_{L_\rho}^\rho e^{-kt}
</math>