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20 April 2024
 
  » arxiv » hep-ph/0408197

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Towards a Relativistic Description of Exotic Meson Decays
Nikodem J. Poplawski ; Adam P. Szczepaniak ; J.T. Londergan ;
Date 18 Aug 2004
Journal Phys.Rev. D71 (2005) 016004
Subject hep-ph
AbstractThis 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 $pi_{1} opi b_{1}, pi f_{1}, KK_{1}$ are favored, in agreement with results obtained using other models.
Source arXiv, hep-ph/0408197
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