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| <table> | | <table> |
| + | A_{}^{J_X L_X P_X} |
| + | <td> |
| + | defining an amplitude... |
| + | </td> |
| + | </tr> |
| <tr> | | <tr> |
| <td><math> | | <td><math> |
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| </math></td> | | </math></td> |
| <td> | | <td> |
− | angular distributions two-body X and b1 decays | + | angular distributions two-body X and <math>b_1 (J_{b_1}^{PC}=1^{+-})</math> decays |
| </td> | | </td> |
| </tr> | | </tr> |
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| <td><math> | | <td><math> |
| \left[ | | \left[ |
− | (-)^{J_X+1+\epsilon} e^{2i\alpha} | + | P_X(-)^{J_X+1+\epsilon} e^{2i\alpha} |
| \left(\begin{array}{cc|c} | | \left(\begin{array}{cc|c} |
| J_{b1} & L_X & J_X \\ | | J_{b1} & L_X & J_X \\ |
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| </math></td> | | </math></td> |
| <td> | | <td> |
− | resonance helicity sum | + | resonance helicity sum: ε=0 (1) for x (y) polarization; </math>P_X</math> is the parity of the resonance |
| </td> | | </td> |
| </tr> | | </tr> |
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| </math></td> | | </math></td> |
| <td> | | <td> |
− | polarization term: ε=0 (1) for x (y) polarization; η is the polarization fraction | + | polarization term: η is the polarization fraction |
| </td> | | </td> |
| </tr> | | </tr> |
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| <td><math> | | <td><math> |
| \left(\begin{array}{cc|c} | | \left(\begin{array}{cc|c} |
− | I_{b1} & 1 & I_X \\ | + | I_{b1} & I_\pi & I_X \\ |
| 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) |
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| <tr> | | <tr> |
| <td><math> | | <td><math> |
− | \sum\limits_{L_{b1}=0}^{2} \sum\limits_{m_{L_{b1}}=-L_{b1}}^{L_{b1}} | + | \sum\limits_{L_{b1}=0}^{2} |
| + | \sum\limits_{m_{L_{b1}}=-L_{b1}}^{L_{b1}} |
| + | \sum\limits_{m_\omega}=-J_\omega}^{J_\omega} |
| + | \sum\limits_{\lambda_\rho}=-s_\rho}^{s_\rho} |
| D_{m_\omega \lambda_\rho}^{J_\omega *}(\theta_\omega,\phi_\omega,0) | | D_{m_\omega \lambda_\rho}^{J_\omega *}(\theta_\omega,\phi_\omega,0) |
− | Y_{m_\rho}^{s_\rho}(\theta_\rho,\phi_\rho) | + | Y_{\lambda_\rho}^{s_\rho}(\theta_\rho,\phi_\rho) |
| </math></td> | | </math></td> |
| <td> | | <td> |
− | two-stage ω breakup angular distributions | + | two-stage <math>\omega (J_\omega^{PC}=1^{--})</math> breakup angular distributions, |
| + | currently modeled as <math>L_{\omega\rightarrow\pi^0-\rho}=0; L_{\rho\rightarrow\pi^++\pi^-}=1=s_\rho</math> |
| </td> | | </td> |
| </tr> | | </tr> |
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| <td><math> | | <td><math> |
| \left(\begin{array}{cc|c} | | \left(\begin{array}{cc|c} |
− | s_\omega & L_{b1} & J_{b1} \\
| + | J_\omega & L_{b1} & J_{b1} \\ |
− | 0 & m_{L_{b1}} & m_{b1}
| + | m_\omega & m_{L_{b1}} & m_{b1} |
| \end{array}\right) | | \end{array}\right) |
| \left(\begin{array}{cc|c} | | \left(\begin{array}{cc|c} |
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| </math></td> | | </math></td> |
| <td> | | <td> |
− | angular momentum sum Clebsch-Gordan coefficients for b1 and ω decays | + | angular momentum sum Clebsch-Gordan coefficients for b1 and ω decays. |
| </td> | | </td> |
| </tr> | | </tr> |