Some decay modes of the $1^{-+}$ hybrid meson in QCD sum rules revisited

TL;DR

This paper recalculates the decay widths of the $1^{-+}$ hybrid meson into various channels using QCD sum rules, providing updated estimates for these decay processes.

Contribution

It introduces a revised QCD sum rule approach with continuum subtraction to evaluate the decay widths of the $1^{-+}$ hybrid meson.

Findings

Decay width of $1^{-+} o ho \pi$ is approximately 40 MeV.

Decay width of $1^{-+} o f_1 \pi$ is approximately 100 MeV.

Decay width of $1^{-+} o \pi \gamma$ is approximately 0.3 MeV.

Abstract

The pionic coupling constants in the decays of the $1^{-+}$ hybrid meson are calculated. The double Borel transformation is invoked and continuum contribution is subtracted. The decay widths of the processes $1^{-+}\to \rho\pi, f_1 \pi, \pi \gamma$ are around $40, 100, 0.3$ MeV respectively.