# Theoretical description of the $\boldsymbol{J/\psi \to \eta (\eta') h_1(1380)}$, $\boldsymbol{J/\psi \to \eta (\eta') h_1(1170)}$ and $\boldsymbol{J/\psi \to \pi^0 b_1(1235)^0}$ reactions

## TL;DR

This paper presents a theoretical study of specific $J/\psi$ decay reactions involving axial vector mesons, explaining experimental observations by modeling these mesons as dynamically generated from pseudoscalar-vector interactions.

## Contribution

The work provides a novel theoretical framework for understanding $J/\psi$ decay channels involving axial vector mesons as dynamically generated states, aligning well with experimental data.

## Key findings

- Fair agreement with experimental decay data.
- Explanation for the observed mass peak shift of $h_1(1380)$.
- Insight into the dynamical generation of axial vector mesons.

## Abstract

We have made a study of the $J/\psi \to \eta' h_1, \eta h_1$ (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 $J/\psi \to \phi \pi \pi, \omega \pi \pi$ reactions. We obtain fair agreement with experimental data and provide an explanation on why the recent experiment on $J/\psi \to \eta' h_1(1380), h_1(1380) \to K^{*+} K^- +c.c.$ observed in the $K^+ K^- \pi^0$ mode observes the peak of the $h_1(1380)$ at a higher energy than its nominal mass.