Localization of the glueball and possible decuplets of tensor mesons

TL;DR

This paper investigates the flavor structure of tensor mesons and explores the possible existence of a glueball and its associated decuplet, proposing a model to identify candidate particles within experimental data.

Contribution

It introduces a model linking glueball existence to tensor meson decuplets and applies it to identify potential candidates among known mesons.

Findings

The tensor meson $f_2(1430)$ could be a glueball-dominated decuplet member.

The model successfully distinguishes mesons in the 2 GeV region as potential decuplet members.

Evidence supports the existence of a glueball and its role in meson classification.

Abstract

We continue the study of flavor aspects of strong interaction. The answer to the question of glueball existence is probably a necessary step in this investigation. The existence of the glueball implies the existence of the decuplet. The model we consider requires that the mass of meson decuplet dominated by the glueball is enclosed between the masses of the ideal nonet N and S states. This description is applied to the two sets of the tensor mesons. One of them comprise the well known particles which are attributed to the widely known nonet $2^{++}$. We argue that they belong to a decuplet if there exists the isoscalar tensor meson having the mass obeying the condition on glueball dominated meson; the meson $f_2(1430)$ could be a candidate. Another set includes large number of mesons lying in the 2GeV region. This set is used to test ability of the model to select particles belonging to the decuplet.