Phases and Amplitudes in Inclusive $\Psi$ and ${\Psi }^{\prime }$ Decays

Abstract

In inclusive decays of the $\Psi$ (3097), electromagnetic and gluonic annihilation amplitudes add incoherently, namely they are 90${}^{\circ }$ out of phase. We argue that this incoherence must persist in each exclusive decay channel. For inclusive ${\Psi }^{\prime }$ (3686) decays, we suggest the absence of a significant direct annihilation amplitude into three gluons and propose a new amplitude via QCD anomalies and the $h_c$ (3526) off shell. Phenomenological implications for exclusive decay channels are pointed out.

10 pages

References in corpus (2)

• Tests of flavor symmetry in J/psi decays
• Long-distance final-state interactions and J/psi decay

Cited by in corpus (35)

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• Open charm effects in the explanation of the long-standing "$\rho \pi$ puzzle"
• Study of electromagnetic decay of $J/\psi$ and ${\psi }^{\prime }$ to vector and pseudoscalar
• First observation of psi(2S)-->K_S K_L
• Measuring psi(3770) --> rho pi in e+e- experiment
• Unified study of $J/\psi \to PV$, $P{\gamma }^{(\ast )}$ and light hadron radiative processes
• Improved measurement of the branching ratio of J/psi-->K_S K_L
• Determination of the relative phase in ψ' and J/ψ decays into baryon and antibaryon
• Possible large phase in psi(2S) -> 1-0- Decays
• Exclusive Double Charmonium Production from ${\rm Y}$ Decay
• The interference between virtual photon and 1-- charmonium in e+e-experiment
• Relative phase between strong and electromagnetic amplitudes in psi(2S) to 0- 0- decays
• Possible large branching fraction of psi(3770) decays to charmless final states
• Search for psi(3770)\raρπat the BESII detector at the Beijing Electron-Positron Collider
• Search for K_S K_L in psi'' decays
• Measurement of Interference between Electromagnetic and Strong Amplitudes in psi(2S) Decays to Two Pseudoscalar Mesons
• The Form Factors of omega pi0 and pi+ pi- at psi(2S)
• Observation of $\psi (3686)\to n\bar{n}$ and improved measurement of $\psi (3686)\to p\bar{p}$
• Exclusive decay of ${\rm Y}$ into $J/\psi +{\chi }_{c0,1,2}$
• Ultimate survival in anomalous psi(2S) decays
• Measuring psi(3770) -> Kshort Klong as a test of the S- and D-wave mixing of charmonia
• Measurement of the phase between strong and electromagnetic amplitudes of $J/\psi$ decays
• Soft Photon Spectrum in Orthopositronium and Vector Quarkonium Decays
• Phase Difference Between the Electromagnetic and Strong Amplitudes for psi(2S) and J/psi Decays into Pairs of Pseudoscalar Mesons
• Trace anomalies and the $\Delta I=1/2$ rule
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• Symmetry analysis of charmonium two-body decay
• Data taking strategy for the phase study in ${\psi }^{\prime }\to K^{+}{K}^{-}$
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• Fast computation of observed cross section for ${\psi }^{\prime }\to PP$ decays
• Dispersive analysis of the $J/\psi \to {\pi }^0{\gamma }^{\ast }$ transition form factor with $\rho$-$\omega$ mixing effects