Strong decay amplitudes using the Talmi-Moshinsky transformation and the suppressed production of the $1^{-+}$ hybrid

Details Strong decay amplitudes using the Talmi-Moshinsky transformation and the suppressed production of the $1^{-+}$ hybrid Strong decay amplitudes using the Talmi-Moshinsky transformation and the suppressed production of the $1^{-+}$ hybrid

2006-11-09

arxiv.org/abs/hep-ph/0611132v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages; some significant changes in revised version including additional phenomenology

Scientific paper

The Talmi-Moshinsky transformation is applied to the strong decay and production of mesons. Amplitudes for conventional mesons are obtained in a simple way and are generalised to encompass the production and decay of hybrid states. The selection rule disfavouring hybrid decay into pairs of identical S-wave mesons has a natural explanation and a new class of selection rules is uncovered with implications for production of the exotic $1^{-+}$ hybrid in $e^+e^-$ experiments, charmonia decays and the lattice.

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