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Line 165:
Line 165: − + Line 175:
Line 175: − + − − Note that the ω decay is modeled as a two-stage process, with a quasi-ρ in the intermediate state: actual ρ meson quantum numbers are not forced but a sum over its possible spins and a broad phase space is given.
Amplitudes for the Exotic b1π Decay (view source)
Revision as of 17:04, 15 August 2011
, 17:04, 15 August 2011→Decay of t-channel resonance X to b1π
\langle \Omega_{\pi^+} 0 0 | U_\rho | J_\rho , m_\rho=\lambda_\rho \rangle
\langle \Omega_{\pi^+} 0 0 | U_\rho | J_\rho , m_\rho=\lambda_\rho \rangle
=\sum_{L_\rho}
=\sum_{L_\rho}
\left[ \sqrt{\frac{2J_\rho+1}{4\pi}} D_{m_\rho 0}^{J_\rho *}(\Omega_{\pi^+}) \right]
\left[ \sqrt{\frac{2J_\rho+1}{4\pi}} D_{m_\rho 0}^{J_\rho *}(\Omega_{\pi}) \right]
\left[ \sqrt{\frac{2L_\rho+1}{2J_\rho+1}}
\left[ \sqrt{\frac{2L_\rho+1}{2J_\rho+1}}
\left(\begin{array}{cc|c}
\left(\begin{array}{cc|c}
</math>
</math>
:::::::::<math>
:::::::::<math>
=Y_{m_\rho}^{J_\rho}(\Omega_{\pi^+})
=Y_{m_\rho}^{J_\rho}(\Omega_{\pi})
f_{J_\rho\,0}^{J_\rho}
f_{J_\rho\,0}^{J_\rho}
</math>
</math>
== Assembly of the full amplitude ==
== Assembly of the full amplitude ==