Hyperspherical-coordinate approach to the spectra and decay widths of hybrid quarkonia

Abstract

In this paper, we consider the possibility that Y(4260), Y(4360), $\psi (4415)$ or X(4660) is the ground state or the first excited state of a hybrid charmonium and examine whether ${\rm Y}(10860)$ is the ground state or the first excited state of a hybrid bottomonium. Under a constituent quark model, we carry out numerical calculations to obtain the spectra of both electric gluon and magnetic gluon hybrid quarkonia. We see that the ground state of a magnetic gluon hybrid charmonium and the first excited state of an electric gluon hybrid are comparable in energy to $\psi (4415)$ and that the first excited states of an electric gluon hybrid bottomonium and the ground state of a magnetic gluon hybrid appear a few hundred MeV above the mass of ${\rm Y}(10860)$. Also, we evaluate the widths of the decays of a hybrid charmonium into $D^{(\ast )}{\bar{D}}^{(\ast )}$ and those of a hybrid bottomonium into $B^{(\ast )}{\bar{B}}^{(\ast )}$. We show that if the exotic meson candidates are hybrid charmonia, then they are magnetic gluon ones and argue that it seems unlikely that ${\rm Y}(10860)$ is the ground state of an electric gluon hybrid bottomonium.

arXiv comment14 pages, 15 figures

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• Pentaquark and Tetraquark states
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• Masses and decays of the bottom-charm hybrid meson $c\bar{b}g$
• An analysis on doubly bottom molecular tetraquarks composed of $H_{(s)}$ and $T_{(s)}$ doublets