Revisiting $1^{-+}$ and $0^{++}$ light hybrids from Monte-Carlo based QCD sum rules

Abstract

In this paper, we re-analyze the $1^{-+}$ and $0^{++}$ light hybrids from QCD sum rules with a Monte-Carlo based uncertainty analysis. With $30\%$ uncertainties in the accepted central values for QCD condensates and other input parameters, we obtain a prediction on $1^{-+}$ hybrid mass of $1.71\pm 0.22$\,GeV, which covers the mass of ${\pi }_1(1600)$. However, the $0^{++}$ hybrid mass prediction is more than 4\,GeV, which is far away from any known $a_0$ meson. We also study the correlations between the input and output parameters of QCD sum rules.

References in corpus (3)

• The I^G J^{PC}=1^- 1^{-+} Tetraquark States
• Octet baryon magnetic moments from QCD sum rules
• Light 1-+ exotics: molecular resonances

Cited by in corpus (8)

• Monte-Carlo Based QCD Sum Rules Analysis of $X_0(2900)$ and $X_1(2900)$
• Investigation of the light four-quark states with exotic $J^{PC}=0^{--}$
• Revisiting the b1 pi and rho pi decay modes of the 1-+ light hybrid state with light-cone QCD sum rules
• Mass Calculations of Light Quarkonium, Exotic $J^{PC}=0^{+-}$ Hybrid Mesons from Gaussian Sum-Rules
• Exotic tetraquark states with $J^{PC}=0^{+-}$
• Fully-strange tetraquark states with the exotic quantum numbers $J^{PC}=0^{+-}$ and $2^{+-}$
• Light tetraquark states with the exotic quantum number $J^{PC}=3^{-+}$
• Vector and Scalar Mesons' Mixing from QCD Sum Rules