Potential higher radial excitations in the light pseudoscalar meson family

Abstract

Inspired by the event accumulation around 2.6 GeV in the ${\eta }^{\prime }{\pi }^{+}{\pi }^{-}$ invariant mass spectrum of $J/\psi \to \gamma {\eta }^{\prime }{\pi }^{+}{\pi }^{-}$, which was reported by the BESIII Collaboration, we carry out the study of the mass spectrum and decay behavior of four radial excitations in the pseudoscalar meson family, which include ${\eta }^{(\prime )}(6S)$ and ${\eta }^{(\prime )}(7S)$. Combining with these analysis, we present the calculation of the reactions induced by a pion or kaon on the proton target which are relevant to these four discussed states. According to this information, we give concrete experimental suggestion of searching for them, which will become a new task for future experiments.

arXiv comment10 pages and 12 figures

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• Observation of a state $X(2600)$ in the ${\pi }^{+}{\pi }^{-}{\eta }^{\prime }$ system in the process $J/\psi \to \gamma {\pi }^{+}{\pi }^{-}{\eta }^{\prime }$
• Newly observed $a_0(1817)$ as the scaling point of constructing the scalar meson spectroscopy
• Light unflavor vector meson spectroscopy around the mass range of $2.4\sim 3$ GeV and possible experimental evidence
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• The role of the $\omega (4S)$ and $\omega (3D)$ states in mediating the $e^{+}{e}^{-}\to \omega \eta$ and $\omega {\pi }^0{\pi }^0$ processes
• Construction of Isoscalar $2^{-+}$ Mesonic States Inspired by the $X(2600)$ Discovery
• The new states $X(1910)$ and $X(2300)$ and higher light excited $J^{PC}=1^{+-}$ mesons
• X(2370) glueball-like particle productions in $e^{+}{e}^{-}$ collisions at the BESIII energy and in pp collisions at the LHC energy with PACIAE model
• Coupled-channel analysis of the near-threshold $e^{+}{e}^{-}\to N\bar{N}$ cross sections
• Newly observed $\kappa$(2600) and the highly excited states of the $K_0^{\ast }$ family