Radiative production and decays of the exotic ${\eta }_1^{\prime }(1855)$ and its siblings

Abstract

We study the production of the light $J^{PC}=1^{-+}$ hybrid isoscalars ${\eta }_1^{\prime }(1855)$ and the yet undiscovered ${\eta }_1^{hyb}(1660)$ as intermediate states in the radiative decays of the charmonium ($J/\psi$) to two conventional mesons using a flavor symmetric Lagrangian. For this purpose, we use the $J/\psi \to \gamma {\eta }_1^{\prime }(1855)\to \gamma \eta {\eta }^{\prime }$ process as the reference. We find that some of the decay channels have branching ratios similar to or larger than that of the $\gamma \eta {\eta }^{\prime }$ channel and are sensitive to the mixing between the hybrid isoscalars. We propose that relatively stable $\gamma \eta f_1(1285)$ channel be explored for the presence of the light hybrid isoscalar ${\eta }_1^{hyb}(1660)$. We also exploit the strong decay channels containing at least one vector meson to study the radiative decays of the whole hybrid nonet $\{{\pi }_1(1600),K_1^{hyb}(1750),{\eta }_1^{hyb}(1660),{\eta }_1^{\prime }(1855)\}$. We find that the hybrids cannot radiatively decay into the $I=0$ pseudoscalars. Furthermore, the vector decay channels ($(\rho /\omega /\varphi )\gamma$) of the hybrid isoscalars are sensitive to the strangeness content of the hybrids. We also provide estimates for the branching fractions for the radiative production and partial widths for the radiative decays of the hybrids.

arXiv comment14 pages, matches published version

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Cited by in corpus (9)

• Constructing the $J^{P(C)}=1^{-(+)}$ light flavor hybrid nonet with the newly observed ${\eta }_1(1855)$
• Ordinary and exotic mesons in the extended Linear Sigma Model
• Predictions of the hybrid mesons with exotic quantum numbers $J^{PC}=2^{+-}$
• Revealing the inner structure of the newly observed ${\eta }_1(1855)$ via photoproduction
• Mixing angle of $K_1(1270/1400)$ and the $K{\bar{K}}_1(1400)$ molecular interpretation of ${\eta }_1(1855)$
• Light tetraquark states with exotic quantum numbers $J^{PC}=2^{+-}$
• Decay properties of light $1^{-+}$ hybrids
• Revisit the heavy quarkonium double-gluon hybrid mesons with exotic quantum numbers
• Systematic study of exotic $1^{-+}$ tetraquark spectroscopy