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Line 245: − − − − − − − :<math> − \langle \mathbf{q}_\pi 0 0; \mathbf{q}_\rho \lambda_\rho 0; \mathbf{q}_\omega \lambda_\omega 0; \mathbf{q}_{b1}\lambda_{b1} 0 − | UV | \epsilon_\gamma; J_R \lambda_R \epsilon_R; s,t \rangle − </math> − ::<math>=\sum_{R,\lambda_R,\epsilon_R,\lambda_{b_1},\lambda_\omega,\lambda_\rho,X,M_X,\epsilon_X} − \langle \mathbf{q}_{b1} \lambda_{b_1} 0| U_X | J_X M_X \epsilon_X\rangle − \langle J_X M_X \epsilon_X | V | − \epsilon_\gamma; J_R \lambda_R \epsilon_R; s,t \rangle − </math> − :::::::<math>\times − \langle \mathbf{q}_\omega \lambda_\omega 0| U_{b_1} | 1 , \lambda_{b_1} \rangle − \langle \mathbf{q}_\rho \lambda_\rho 0| U_\omega | 1 , \lambda_\omega \rangle − \langle \mathbf{q}_\pi 0 0 | U_\rho | J_\rho , \lambda_\rho \rangle − </math>
Amplitudes for the Exotic b1π Decay (view source)
Revision as of 22:29, 19 August 2011
, 22:29, 19 August 2011→Proton states and individual decay amplitudes
In analogy to the reflectivity conservation relation shown above for ''V'' vertex, there is a similar relation for the ''W'' vertex: <math>\epsilon_R=\epsilon_i \epsilon_f</math>
In analogy to the reflectivity conservation relation shown above for ''V'' vertex, there is a similar relation for the ''W'' vertex: <math>\epsilon_R=\epsilon_i \epsilon_f</math>
Identification of <math>\epsilon_i</math> with <math>\epsilon_i'</math> and <math>\epsilon_f</math> with <math>\epsilon_f'</math> implies that only terms with <math>\epsilon_R=\epsilon_R'</math> survive in the sum over exchange quantum numbers.
Identification of <math>\epsilon_i</math> with <math>\epsilon_i'</math> and <math>\epsilon_f</math> with <math>\epsilon_f'</math> implies that only terms with <math>\epsilon_R=\epsilon_R'</math> survive in the sum over exchange quantum numbers.
=== Mass dependence ===
=== Mass dependence ===