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Amplitudes for the Exotic b1π Decay (view source)
Revision as of 19:34, 15 August 2011
, 19:34, 15 August 2011→Assembly of the full amplitude
where the T matrix element contains a sum over all intermediate states that contribute to the process. In terms of the individual decay matrix elements introduced earlier, the T matrix element can be written as
where the T matrix element contains a sum over all intermediate states that contribute to the process. In terms of the individual decay matrix elements introduced earlier, the T matrix element can be written as
:<math>
:<math>
T_{fi} = \sum_{\begin{array}{c}R,\lambda_R\\\lambda_{b_1},\lambda_\omega,\lambda_\rho\end{array}\langle \Omega_\pi 0 0; \Omega_\rho \lambda_\rho 0; \Omega_\omega \lambda_\omega 0; \Omega_{b1} \lambda_{b1} 0
T_{fi} = \sum_{
\begin{array}{c}
R,\lambda_R\\
\lambda_{b_1},\lambda_\omega,\lambda_\rho
\end{array}
\langle \Omega_\pi 0 0; \Omega_\rho \lambda_\rho 0; \Omega_\omega \lambda_\omega 0; \Omega_{b1} \lambda_{b1} 0
| U | \epsilon_\gamma; J_R \lambda_R \epsilon_R \rangle
| U | \epsilon_\gamma; J_R \lambda_R \epsilon_R \rangle
\langle J_R \lambda_R \epsilon_R; \mathbf{p_f}, \lambda_f | W | \mathbf{p_i}, \lambda_i\rangle
\langle J_R \lambda_R \epsilon_R; \mathbf{p_f}, \lambda_f | W | \mathbf{p_i}, \lambda_i\rangle