Towards the assignments for $1^{1}D_{2}$ and $1^{3}D_{2}$ meson nonets

TL;DR

This paper analyzes the mass spectrum of specific meson nonets using meson mass matrix and Regge phenomenology, aiming to aid future assignments of these mesons.

Contribution

It introduces a combined approach of meson mass matrix and Regge phenomenology to study the $1^{1}D_{2}$ and $1^{3}D_{2}$ meson nonets.

Findings

Mass spectrum results consistent with some phenomenological models

Provides potential assignments for the meson nonets

Offers a comparative analysis with existing models

Abstract

In this work, we investigate the mass spectrum of $1^{1}D_{2}$ and $1^{3}D_{2}$ meson nonets in the framework of the meson mass matrix and Regge phenomenology. The results are compared with the values from different phenomenological models and may be useful for the assignment of the $1^{1}D_{2}$ and $1^{3}D_{2}$ meson nonets in the future.