Towards a Relativistic Description of Exotic Meson Decays

Details Towards a Relativistic Description of Exotic Meson Decays Towards a Relativistic Description of Exotic Meson Decays

2004-08-18

arxiv.org/abs/hep-ph/0408197v1

Phys.Rev. D71 (2005) 016004

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 7 figures

Scientific paper

10.1103/PhysRevD.71.016004

This work analyses hadronic decays of exotic mesons, with a focus on the lightest one, the $J^{PC}=1^{-+}$ $\pi_{1}$, in a fully relativistic formalism, and makes comparisons with non-relativistic results. We also discuss Coulomb gauge decays of normal mesons that proceed through their hybrid components. The relativistic spin wave functions of mesons and hybrids are constructed based on unitary representations of the Lorentz group. The radial wave functions are obtained from phenomenological considerations of the mass operator. Fully relativistic results (with Wigner rotations) differ significantly from non-relativistic ones. We also find that the decay channels $\pi_{1}\to\pi b_{1}, \pi f_{1}, KK_{1}$ are favored, in agreement with results obtained using other models.

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