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Final State Interactions in Decays of the Exotic $π_{1}$ Meson

Nikodem J. Poplawski·Adam P. Szczepaniak·J. T. Londergan
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Abstract

We analyze the role of final state interactions in decay of the lighest exotic meson, $pi_1$ with $J^{PC}=1^{-+}. We use the relativistic Lippmann-Schwinger equation for two coupled $πb_{1}$ and $πρ$ channels. The first one is the predicted dominant decay mode of the $π_{1}$, whereas in the other a narrow $π_1(1600)$ exotic signal has been reported by the E852 collaboration. The FSI potential is constructed, based on the $ω$ meson exchange between the two channels. We find that this process introduces corrections to the $π_{1}$ widths of the order of only a few MeV. Therefore, we conclude that a substantial $πρ$ mode cannot be generated through level mixing.

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Nikodem J. Poplawski, Adam P. Szczepaniak, J. T. Londergan. 2005-01-06. Final State Interactions in Decays of the Exotic $π_{1}$ Meson. https://doi.org/10.1103/physrevd.71.056003

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