Phenomenological study of the isovector tensor meson family

TL;DR

This paper analyzes the $a_2$ meson family by calculating decay widths using the quark pair creation model, providing insights for experimental identification and future studies of these tensor mesons.

Contribution

It offers a comprehensive grouping and decay analysis of observed $a_2$ states, proposing assignments within the meson family and predicting decay behaviors for future experiments.

Findings

Calculated decay widths for $a_2$ states.

Provided phenomenological analysis matching experimental data.

Predicted decay behaviors to guide future experiments.

Abstract

In this work, we study all the observed $a_2$ states and group them into the $a_2$ meson family, where their total and partial decay widths are calculated via the quark pair creation model. Taking into account the present experimental data, we further give the corresponding phenomenological analysis, which is valuable to test whether each $a_2$ state can be assigned into the $a_2$ meson family. What is more important is that the prediction of their decay behaviors will be helpful for future experimental study of the $a_2$ states.