Towards a Relativistic Description of Exotic Meson Decays

Abstract

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 ${\pi }_1\to \pi b_1,\pi f_1,K{K}_1$ are favored, in agreement with results obtained using other models.

14 pages, 7 figures

References in corpus (9)

• Exotic Meson Production in the $f_1(1285){\pi }^{-}$ System observed in the Reaction ${\pi }^{-}p\to \eta {\pi }^{+}{\pi }^{-}{\pi }^{-}p$ at 18 GeV/c
• The low lying glueball spectrum
• Baryon Form Factors of Relativistic Constituent-Quark Models
• Lattice calculation of $1^{-+}$ hybrid mesons with improved Kogut-Susskind fermions
• Generalized Parton Distributions for large $x$
• Study of the $\eta \pi$ and ${\eta }^{\prime }\pi$ spectra and interpetation of possible exotic $J^{PC}=1^{-+}$ mesons
• A Study of the ηπ^{0} Spectrum and Search for a J^{PC} = 1^{-+} Exotic Meson
• Chromo-Electric flux tubes
• The "forbidden" decays of hybrid mesons to $\pi \rho$ can be large

Cited by in corpus (4)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• The lightest hybrid meson supermultiplet in QCD
• Angular momentum coefficients for meson strong decay and unquenched quark models
• Final State Interactions in Decays of the Exotic ${\pi }_1$ Meson