Decay properties of hybrid mesons with a massive constituent gluon and search for their candidates

In a previous work we argued the possibility of the $f_1\mathrm{}\left(1420\right)\mathrm{}$ being our first hybrid meson with the configuration of $\frac{(u\overline{u}+d\overline{d})g}{\sqrt{2}}$, and gave a preliminary consideration to search for other hybrid mesons. In this paper we calculate respective decay widths of the other members of ground-state hybrid-meson nonets in the framework of the covariant oscillator quark model extended to describe bound systems composed of quarks, antiquarks, and/or gluons. Based upon these results we select eight "observed" candidates altogether, three of them on a rather firm basis, and give some remarks to search further for their candidates experimentally.