Test for exotic isoscalar resonance dominating $D^0\to {\pi }^{+}{\pi }^{-}{\pi }^0$ decays

Abstract

The decay $D^0\to {\pi }^{+}{\pi }^{-}{\pi }^0$ appears to be dominated by $\rho \pi$ states in a configuration of zero total isotopic spin. The spin $J$, parity $P$, and charge-conjugation eigenvalue $C$ of this final state are therefore $J^{PC}=0^{--}$, which cannot be formed of a quark $q$ and antiquark $\bar{q}$. If a resonance near $M(D^0)$ dominates the final state, it must be a {\it hybrid} composed of a quark-antiquark pair and a constituent gluon, or a {\it tetraquark} $qq\bar{q}\bar{q}$. A test for this resonance in electroproduction is proposed.

11 pages, 3 figures. References, figures, and text added. Version to be published in Phys. Rev. D

References in corpus (9)

• The COMPASS Experiment at CERN
• Hybrid Mesons
• First determination of the $CP$ content of $D\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ and updated determination of the $CP$ contents of $D\to {\pi }^{+}{\pi }^{-}{\pi }^0$ and $D\to K^{+}{K}^{-}{\pi }^0$
• QCD Coulomb gauge approach to hybrid mesons
• First determination of the CP content of D->pi+pi-pi0 and D->K+K-pi0
• A study of $CP$ violation in $B^{\mp }\to D{h}^{\mp }$ ($h=K,\pi$) with the modes $D\to K^{\mp }{\pi }^{\pm }{\pi }^0$, $D\to {\pi }^{+}{\pi }^{-}{\pi }^0$ and $D\to K^{+}{K}^{-}{\pi }^0$
• Isospin analysis of D0 decay to three pions
• Photoproduction of $a_2(1320)$ in a Regge model
• Gluelump spectrum from Coulomb gauge QCD

Cited by in corpus (2)

• Investigation of the light four-quark states with exotic $J^{PC}=0^{--}$
• Search for light tetraquark states in ${\rm Y}(1S)$ and ${\rm Y}(2S)$ decays