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Amplitudes for the Exotic b1π Decay (view source)
Revision as of 22:39, 19 August 2011
, 22:39, 19 August 2011→Assembly of the full amplitude
\sum_{
\sum_{
\begin{array}{c}
\begin{array}{c}
\scriptstyle{
\scriptstyle
R,\lambda_R,\epsilon_R,\lambda_{b_1},\lambda_\omega,\lambda_\rho\\
R,\lambda_R,\epsilon_R,\lambda_{b_1},\lambda_\omega,\lambda_\rho\\
X,M_X,\epsilon_X;\epsilon_i,\epsilon_f}
\scriptstyle
X,M_X,\epsilon_X;\epsilon_i,\epsilon_f
\end{array}}
\end{array}}
\langle \mathbf{q}_{b1} \lambda_{b_1} 0| U_X | J_X M_X \epsilon_X\rangle
\langle \mathbf{q}_{b1} \lambda_{b_1} 0| U_X | J_X M_X \epsilon_X\rangle
\epsilon_\gamma; J_R \lambda_R \epsilon_R; s,t \rangle
\epsilon_\gamma; J_R \lambda_R \epsilon_R; s,t \rangle
</math>
</math>
:::::::<math>\times
:::::::::<math>\times
\langle \mathbf{q}_\omega \lambda_\omega 0| U_{b_1} | 1 , \lambda_{b_1} \rangle
\langle \mathbf{q}_\omega \lambda_\omega 0| U_{b_1} | 1 , \lambda_{b_1} \rangle
\langle \mathbf{q}_\rho \lambda_\rho 0| U_\omega | 1 , \lambda_\omega \rangle
\langle \mathbf{q}_\rho \lambda_\rho 0| U_\omega | 1 , \lambda_\omega \rangle
\langle \mathbf{q}_\pi 0 0 | U_\rho | J_\rho , \lambda_\rho \rangle
\langle \mathbf{q}_\pi 0 0 | U_\rho | J_\rho , \lambda_\rho \rangle
</math>
<math>\times
\langle J_R \lambda_R \epsilon_R; \Omega_0;\mathbf{p_f}, \epsilon_f | W | \mathbf{p_i}, \epsilon_i\rangle
</math>
</math>