Hybrid exotic meson with J^{PC}=1^{-+} in AdS/QCD

TL;DR

This paper uses an AdS/QCD model to predict the masses and decay constant of the hybrid exotic meson with quantum numbers 1^{-+}, providing theoretical insights into its properties and comparison with experimental data.

Contribution

The study introduces a holographic approach to calculate the mass spectrum and decay constant of the hybrid exotic meson with J^{PC}=1^{-+}, offering new theoretical predictions.

Findings

Predicted ground state mass: 1476 MeV

Predicted first excited state: 2611 MeV

Decay constant of π₁(1400): 10.6 MeV

Abstract

We investigate the hybrid exotic meson with $J^{PC}=1^{-+}$ within the framework of an AdS/QCD model. Introducing a holographic field dual to the operator for hybrid exotic meson, we obtain the eigen-value equation for its mass. Fixing all free parameters by QCD observables such as the $\rho$-meson mass, we predict the masses of the hybrid exotic meson. The results turn out to be $1476 \mathrm{MeV}$ for the ground state, and $2611 \mathrm{MeV}$ for the first excited one. Being compared with the existing experimental data for the $\pi_1(1400)$, which is known to be $m_{\pi_1} = 1351\pm30 \mathrm{MeV}$, the present result seems to be qualitative in agreement with it. We also predict the decay constant of $\pi_1$(1400): $F_{\pi_1}= 10.6$ MeV.