Strong Decays of the Light Exotic $0^{+-}$ and $2^{+-}$ Hybrid Mesons

Abstract

A model of hybrid meson structure based on the QCD Hamiltonian in Coulomb gauge and the use of a single constituent quasigluon is applied compute hadronic decays of mesons with exotic quantum numbers, $0^{+-}$ and $2^{+-}$. These correspond to hybrid mesons in which the gluon couples to a $q\bar{q}$ pair in an $P$-wave and can therefore be identified as orbital excitations of the exotic $1^{-+}$ state. Interestingly, we find $0^{+-}$ states to be narrow, contrary to what was found by previous calculations. This is primarily due to the suppression of the decay mode $0^{+-}\to 2^1{S}_0+1^1{S}_0$, which is unique to our model. The $2^{+-}$ states are found to be narrow, as expected.

Comments: 22 pages, 5 figures