Amplitudes for the Exotic b1π Decay

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \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) }	angular distributions two-body X and b1 decays
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \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] }	resonance helicity sum
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left(\frac{1+(-)^\epsilon \eta}{4}\right) }	polarization term: ε=0 (1) for x (y) polarization; η is the polarization fraction
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle k^{L_X} q^{J_{b1}} }	k, q are breakup momenta for the resonance and isobar, respectively
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \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) }	Clebsch-Gordan coefficients for isospin sum Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b_1 \oplus \pi^- \rightarrow X}
$\sum \limits _{L_{b1}=0}^{2}\sum \limits _{m_{L_{b1}}=-L_{b1}}^{L_{b1}}D_{m_{\omega }\lambda _{\rho }}^{J_{\omega }*}(\theta _{\omega },\phi _{\omega },0)Y_{m_{\rho }}^{s_{\rho }}(\theta _{\rho },\phi _{\rho })$	two-stage ω breakup angular distributions
$\left({\begin{array}{cc|c}s_{\omega }&L_{b1}&J_{b1}\\0&m_{L_{b1}}&m_{b1}\end{array}}\right)\left({\begin{array}{cc|c}1&s_{\rho }&J_{\omega }\\0&\lambda _{\rho }&m_{\omega }\end{array}}\right)$	angular momentum sum Clebsch-Gordan coefficients for b1 and ω decays
$\sum \limits _{I_{\rho }=0}^{1}\sum \limits _{I_{z\rho }=-I_{\rho }}^{I_{\rho }}\left({\begin{array}{cc|c}1&I_{\rho }&0\\0&I_{z\rho }&0\end{array}}\right)\left({\begin{array}{cc|c}I_{\pi }&I_{\pi }&I_{\rho }\\+1&-1&I_{z\rho }\end{array}}\right)$	Clebsch-Gordan coefficients for isospin sums: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \pi^0 \oplus (\pi^+ \oplus \pi^-) \rightarrow \omega}