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

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

2005-01-06

arxiv.org/abs/hep-ph/0501035v1

Phys.Rev.D71:056003,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 11 figures

Scientific paper

10.1103/PhysRevD.71.056003

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 $\pi b_{1}$ and $\pi\rho$ channels. The first one is the predicted dominant decay mode of the $\pi_{1}$, whereas in the other a narrow $\pi_1(1600)$ exotic signal has been reported by the E852 collaboration. The FSI potential is constructed, based on the $\omega$ meson exchange between the two channels. We find that this process introduces corrections to the $\pi_{1}$ widths of the order of only a few MeV. Therefore, we conclude that a substantial $\pi\rho$ mode cannot be generated through level mixing.

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