1,870
edits
Changes
Jump to navigation
Jump to search
Line 199:
Line 199: − + Line 205:
Line 205: − +
Amplitudes for the Exotic b1π Decay (view source)
Revision as of 19:56, 15 August 2011
, 19:56, 15 August 2011→Assembly of the full amplitude
:<math>
:<math>
T_{fi} = \sum_{R,\lambda_R\lambda_{b_1},\lambda_\omega,\lambda_\rho}
T_{fi} = \sum_{R,\lambda_R\lambda_{b_1},\lambda_\omega,\lambda_\rho}
\langle \mathbf{q_\pi} 0 0; \mathbf{q_\rho} \lambda_\rho 0; \mathbf{q_\omega} \lambda_\omega 0; \mathbf{q_{b1}}\lambda_{b1} 0
\langle \mathbf{q}_\pi 0 0; \mathbf{q}_\rho \lambda_\rho 0; \mathbf{q}_\omega \lambda_\omega 0; \mathbf{q}_{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
The aggregate decay matrix element can be further broken up into a product of individual decay amplitudes,
The aggregate decay matrix element can be further broken up into a product of individual decay amplitudes,
:<math>
:<math>
\langle \mathbf{q_\pi} 0 0; \mathbf{q_\rho} \lambda_\rho 0; \mathbf{q_\omega} \lambda_\omega 0; \mathbf{q_{b1}}\lambda_{b1} 0
\langle \mathbf{q}_\pi 0 0; \mathbf{q}_\rho \lambda_\rho 0; \mathbf{q}_\omega \lambda_\omega 0; \mathbf{q}_{b1}\lambda_{b1} 0
| U | \epsilon_\gamma; J_R \lambda_R \epsilon_R \rangle
| U | \epsilon_\gamma; J_R \lambda_R \epsilon_R \rangle
</math>
</math>