Decuplets, glueballs and nonet anomalies

TL;DR

This paper introduces a new method for identifying glueballs by treating them as part of decuplets with qar{q} states, using the VEC model to analyze meson multiplet mass patterns and anomalies.

Contribution

It presents a novel approach to glueball detection by modeling glueballs as components of decuplets within the VEC framework, linking nonet anomalies to glueball components.

Findings

Glueballs can be identified as components of decuplets.

The VEC model explains nonet anomalies as incomplete decuplets.

Mass patterns of mesons support the decuplet hypothesis.

Abstract

A new approach to problem of glueball search is presented. It refers to early J. Rosner's attempts to detect the tensor glueball. In the present description the glueball state is treated on equal footing with singlet $q\bar{q}$ one. Mixing glueball with $q\bar{q}$ nonet creates decuplet. Glueball can be detected as its component. Our approach is based on hypothesis of vanishing exotic commutators described as VEC model. The model describes all multiplets of light mesons. This makes possible to compare the mass patterns of different multiplets. According to VEC description some abnormal nonets can be interpreted as incomplete decuplets. This makes possible to relate the anomaly of the nonet to a glueball component of decuplet. The model reflects rich diversity of strong interaction properties. The treatment presented is quite elementary: only masses of physical states are required to be known.