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

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dc.creatorPoplawski, Nikodem J.
dc.creatorSzczepaniak, Adam P.
dc.creatorLondergan, J. T.
dc.date2005-01-06
dc.date.accessioned2026-07-07T10:29:22Z
dc.date.available2026-07-07T10:29:22Z
dc.descriptionWe 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.
dc.description7 pages, 11 figures
dc.identifierhttps://arxiv.org/abs/hep-ph/0501035
dc.identifierhttp://arxiv.org/abs/hep-ph/0501035
dc.identifierPhys.Rev.D71:056003,2005
dc.identifierdoi:10.1103/PhysRevD.71.056003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/177776
dc.subjectHigh Energy Physics - Phenomenology
dc.titleFinal State Interactions in Decays of the Exotic $π_{1}$ Meson
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