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

T. J. Burns

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arXiv · hep-ph/0611132

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

T. J. Burns

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Abstract

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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T. J. Burns. 2006-12-18. Strong decay amplitudes using the Talmi-Moshinsky transformation and the suppressed production of the $1^{-+}$ hybrid. https://arxiv.org/abs/hep-ph/0611132

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