# Construction of $a_4$ family

## TL;DR

This paper investigates the mass spectra and decay properties of the $a_4$ meson family using quark models, proposing $a_4(2610)$ as a potential $2H$ state and predicting properties of other states.

## Contribution

It applies modified Godfrey-Isgur and quark-pair creation models to analyze the $a_4$ family, offering new assignments and predictions for unobserved states.

## Key findings

- $a_4(2610)$ is a promising $2H$ state candidate.
- Predicted masses and widths for $a_4(1H)$ and $a_4(3F)$ states.
- Supported identification of $a_4(2610)$ with theoretical models.

## Abstract

The COMPASS Collaboration recently reported the observation of a new resonance, $a_4(2610)$, which has sparked our interest in studying the $a_4$ family with {$I^GJ^{PC}=1^{-}4^{++}$}. In this work, we investigate the mass spectra and Okubo-Zweig-Iizuka-allowed two-body strong decays of the $a_4$ family using the modified Godfrey-Isgur quark model and the quark-pair creation model. We also explore the possibility of identifying $a_4(2610)$ as a $4F$ or $2H$ state, {and our numerical results suggest that it could be a promising candidate for the $a_4(2H)$ state. In addition, we predict the masses and the widths of the $a_4(1H)$ and $a_4(3F)$ states.}