Phenomenological study of the isovector tensor meson family

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.