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Amplitudes for the Exotic b1π Decay (view source)
Revision as of 03:22, 12 July 2011
, 03:22, 12 July 2011Created page with '<math> \sum\limits_{m_X=-L_X}^{L_X} \sum\limits_{m_{b1}=-J_{b1}}^{J_{b1}} Y_{m_X}^{L_X}(\theta_X,\phi_X) D_{m_{b1} n_{b1}}^{J_{b1}*}(\theta_{b1},\phi_{b1},0) \left[ (-)^{J_X+1…'
<math>
\sum\limits_{m_X=-L_X}^{L_X} \sum\limits_{m_{b1}=-J_{b1}}^{J_{b1}}
Y_{m_X}^{L_X}(\theta_X,\phi_X)
D_{m_{b1} n_{b1}}^{J_{b1}*}(\theta_{b1},\phi_{b1},0)
\left[
(-)^{J_X+1+\epsilon} e^{2i\alpha}
\left(\begin{array}{cc|c}
J_{b1} & L_X & J_X \\
m_{b1} & m_X & -1
\end{array}\right)
+
\left(\begin{array}{cc|c}
J_{b1} & L_X & J_X \\
m_{b1} & m_X & -1
\end{array}\right)
\right]
k^{L_X} q^{J_{b1}}
\left(\begin{array}{cc|c}
I_{b1} & 1 & I_X \\
I_{z\pi^+} & I_{z\pi^-} & I_{z\pi^+}+I_{z\pi^-}
\end{array}\right)
</math>
\sum\limits_{m_X=-L_X}^{L_X} \sum\limits_{m_{b1}=-J_{b1}}^{J_{b1}}
Y_{m_X}^{L_X}(\theta_X,\phi_X)
D_{m_{b1} n_{b1}}^{J_{b1}*}(\theta_{b1},\phi_{b1},0)
\left[
(-)^{J_X+1+\epsilon} e^{2i\alpha}
\left(\begin{array}{cc|c}
J_{b1} & L_X & J_X \\
m_{b1} & m_X & -1
\end{array}\right)
+
\left(\begin{array}{cc|c}
J_{b1} & L_X & J_X \\
m_{b1} & m_X & -1
\end{array}\right)
\right]
k^{L_X} q^{J_{b1}}
\left(\begin{array}{cc|c}
I_{b1} & 1 & I_X \\
I_{z\pi^+} & I_{z\pi^-} & I_{z\pi^+}+I_{z\pi^-}
\end{array}\right)
</math>