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Amplitudes for the Exotic b1π Decay (view source)
Revision as of 19:52, 15 August 2011
, 19:52, 15 August 2011→Assembly of the full amplitude
The aggregate decay matrix element can be further broken up into a product of individual decay amplitudes,
The aggregate decay matrix element can be further broken up into a product of individual decay amplitudes,
:<math>
:<math>
\langle \Omega_\pi 0 0; \Omega_\rho \lambda_\rho 0; \Omega_\omega \lambda_\omega 0; \Omega_{b1} \lambda_{b1} 0
\langle q_\pi \Omega_\pi 0 0; q_\rho \Omega_\rho \lambda_\rho 0; q_\omega \Omega_\omega \lambda_\omega 0; q_{b1}\Omega_{b1} \lambda_{b1} 0
| U | \epsilon_\gamma; J_R \lambda_R \epsilon_R \rangle
| U | \epsilon_\gamma; J_R \lambda_R \epsilon_R \rangle
</math>
</math>
\left\{|J_X m_X \rangle + \epsilon_\gamma \epsilon_R P_X (-1)^{J_X-m_X} |J_X\;-m_X \rangle \right\}
\left\{|J_X m_X \rangle + \epsilon_\gamma \epsilon_R P_X (-1)^{J_X-m_X} |J_X\;-m_X \rangle \right\}
</math>
</math>
:::<math>
:::::::<math>
\langle \Omega_{b_1} \lambda_\omega 0| U_{b_1} | 1 , \lambda_{b_1} \rangle
\langle \Omega_{b_1} \lambda_\omega 0| U_{b_1} | 1 , \lambda_{b_1} \rangle
\langle \Omega_\omega \lambda_\rho 0| U_\omega | 1 , \lambda_\omega \rangle
\langle \Omega_\omega \lambda_\rho 0| U_\omega | 1 , \lambda_\omega \rangle
\langle \Omega_\rho 0 0 | U_\rho | J_\rho , \lambda_\rho \rangle C_\rho(L_\rho)
\langle \Omega_\rho 0 0 | U_\rho | J_\rho , \lambda_\rho \rangle
</math>
</math>
::<math>
::<math>