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Amplitudes for the Exotic b1π Decay
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Revision as of 17:09, 15 August 2011
3 bytes removed
,
17:09, 15 August 2011
→Decay of t-channel resonance X to b1π
Line 123:
Line 123:
<math>
<math>
−
\langle \Omega_{b_1}
0
\lambda_{b_1} | U_X | J_X m_X \rangle
+
\langle \Omega_{b_1} \lambda_{b_1}
0
| U_X | J_X m_X \rangle
=\sum_{L_X}
=\sum_{L_X}
\left[ \sqrt{\frac{2J_X+1}{4\pi}} D_{m_X \lambda_{b_1}}^{J_X *}(\Omega_{b_1}) \right]
\left[ \sqrt{\frac{2J_X+1}{4\pi}} D_{m_X \lambda_{b_1}}^{J_X *}(\Omega_{b_1}) \right]
Line 137:
Line 137:
<math>
<math>
−
\langle \Omega_\omega
0
\lambda_\omega | U_{b_1} | 1 , m_{b_1}=\lambda_{b_1} \rangle
+
\langle \Omega_\omega \lambda_\omega
0
| U_{b_1} | 1 , m_{b_1}=\lambda_{b_1} \rangle
=\sum_{L_{b_1}}
=\sum_{L_{b_1}}
\left[ \sqrt{\frac{2J_{b_1}+1}{4\pi}} D_{m_{b_1} \lambda_\omega}^{1 *}(\Omega_\omega) \right]
\left[ \sqrt{\frac{2J_{b_1}+1}{4\pi}} D_{m_{b_1} \lambda_\omega}^{1 *}(\Omega_\omega) \right]
Line 150:
Line 150:
<math>
<math>
−
\langle \Omega_\rho
0
\lambda_\rho | U_\omega | 1 , m_\omega=\lambda_\omega \rangle
+
\langle \Omega_\rho \lambda_\rho
0
| U_\omega | 1 , m_\omega=\lambda_\omega \rangle
=\sum_{L_\omega J_\rho}
=\sum_{L_\omega J_\rho}
\left[ \sqrt{\frac{2J_\omega+1}{4\pi}} D_{m_\omega \lambda_\rho}^{1 *}(\Omega_\rho) \right]
\left[ \sqrt{\frac{2J_\omega+1}{4\pi}} D_{m_\omega \lambda_\rho}^{1 *}(\Omega_\rho) \right]
Jonesrt
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