Theoretical description of the $\mathbf{J}/\mathbf{\psi }\to \mathbf{\eta }({\mathbf{\eta }}^{\prime }){\mathbf{h}}_1(1380)$, $\mathbf{J}/\mathbf{\psi }\to \mathbf{\eta }({\mathbf{\eta }}^{\prime }){\mathbf{h}}_1(1170)$ and $\mathbf{J}/\mathbf{\psi }\to {\mathbf{\pi }}^0{\mathbf{b}}_1(1235{)}^0$ reactions

Abstract

We have made a study of the $J/\psi \to {\eta }^{\prime }{h}_1,\eta h_1$ (with $h_1$ being $h_1(1170)$ and $h_1(1380)$) and $J/\psi \to {\pi }^0{b}_1(1235{)}^0$ assuming the axial vector mesons to be dynamically generated from the pseudoscalar-vector meson interaction. We have taken the needed input from previous studies of the $J/\psi \to \varphi \pi \pi ,\omega \pi \pi$ reactions. We obtain fair agreement with experimental data and provide an explanation on why the recent experiment on $J/\psi \to {\eta }^{\prime }{h}_1(1380),h_1(1380)\to K^{\ast +}{K}^{-}+c.c.$ observed in the $K^{+}{K}^{-}{\pi }^0$ mode observes the peak of the $h_1(1380)$ at a higher energy than its nominal mass.

21 pages, 6 figures

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• Clues for the existence of two $K_1(1270)$ resonances
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• Quantum loops in radiative decays of the $a_1$ and $b_1$ axial-vector mesons
• Radiative decay into $\gamma P$ of the low lying axial-vector mesons
• The role of $a_1(1260)$ in ${\pi }^{-}p\to a_1^{-}(1260)p$ and ${\pi }^{-}p\to {\pi }^{-}{\rho }^{0}p$ reactions near threshold
• The production of the $f_1(1285)\gamma$ and $a_1(1260)\gamma$ in colliding $e^{+}{e}^{-}$-beams in threshold domain

Cited by in corpus (7)

• Comprehensive study of light axial vector mesons with the presence of triangle singularity
• Signatures of the two $K_1(1270)$ poles in $D^{+}\to \nu e^{+}VP$ decay
• ${\chi }_{c1}$ decays into a pseudoscalar meson and a vector-vector molecule
• The new states $X(1910)$ and $X(2300)$ and higher light excited $J^{PC}=1^{+-}$ mesons
• $J/\psi$ decay to $\varphi ,\omega ,K^{\ast 0}$ plus $f_0(1370)$, $f_0(1710)$, $K_0^{\ast }(1430)$, $f_2(1270)$, $f_2^{\prime }(1525)$ and $K_2^{\ast }(1430)$: role of the $D$-wave for tensor production
• Observation of the singly Cabibbo suppressed decay $D^0\to b_1(1235{)}^{-}{e}^{+}{\nu }_e$ and evidence for $D^{+}\to b_1(1235{)}^0{e}^{+}{\nu }_e$
• Amplitude Analysis of the Isospin-Violating Decay $J/\psi \to \gamma \eta {\pi }^0$