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Amplitudes for the Exotic b1π Decay (view source)
Revision as of 03:46, 12 July 2011
, 03:46, 12 July 2011no edit summary
\end{array}\right)
\end{array}\right)
\right]
\right]
\left(\frac{1+(-)^\epsilon \eta}{4}\right)
k^{L_X} q^{J_{b1}}
k^{L_X} q^{J_{b1}}
\left(\begin{array}{cc|c}
\left(\begin{array}{cc|c}
I_{z\pi^+} & I_{z\pi^-} & I_{z\pi^+}+I_{z\pi^-}
I_{z\pi^+} & I_{z\pi^-} & I_{z\pi^+}+I_{z\pi^-}
\end{array}\right)
\end{array}\right)
\sum\limits_{L_{b1}=0}^{2} \sum\limits_{m_{L_{b1}}=-L_{b1}}^{L_{b1}}
\left(\begin{array}{cc|c}
s_\omega & L_{b1} & J_{b1} \\
0 & m_{L_{b1}} & m_{b1}
\end{array}\right)
D_{m_\omega \lambda_\rho}^{J_\omega *}(\theta_\omega,\phi_\omega,0)
Y_{m_\rho}^{s_\rho}(\theta_\rho,\phi_\rho)
\left(\begin{array}{cc|c}
1 & s_\rho & J_\omega \\
0 & \lambda_\rho & m_\omega
\end{array}\right)
\sum\limits_{I_\rho=0}^{1} \sum\limits_{I_{z\rho}=-I_\rho}^{I_\rho}
\left(\begin{array}{cc|c}
1 & I_\rho & 0 \\
0 & I_{z\rho} & 0
\end{array}\right)
\left(\begin{array}{cc|c}
I_{\pi} & I_{\pi} & I_\rho \\
+1 & -1 & I_{z\rho}
\end{array}\right)
</math>
</math>