Chiral field theory of $0^{-+}$ glueball

TL;DR

This paper develops a chiral field theory incorporating a $0^{-+}$ glueball, linking it to mesons via U(1) anomaly, and provides predictions to identify the glueball at 1.405 GeV.

Contribution

It introduces a novel chiral Lagrangian including a $0^{-+}$ glueball and explores its couplings and physical processes.

Findings

Predicts the mass of the $0^{-+}$ glueball as 1.405 GeV.

Provides a theoretical framework for identifying the $0^{-+}$ glueball.

Analyzes the couplings between the glueball and mesons via U(1) anomaly.

Abstract

A chiral field theory of $0^{-+}$ glueball is presented. By adding a $0^{-+}$ glueball field to a successful Lagrangian of chiral field theory of pseudoscalar, vector, and axial-vector mesons, the Lagrangian of this theory is constructed. The couplings between the pseodoscalar glueball field and mesons are via U(1) anomaly revealed. Qualitative study of the physical processes of the $0^{-+}$ glueball of $m=1.405\textrm{GeV}$ is presented. The theoretical predictions can be used to identify the $0^{-+}$ glueball.