Zero mode effect in the $1^{-+}$ four quark states

Abstract

We calculate the masses of the $1^{-+}$ four quark states which decay dominantly into $\rho \pi$ and $\eta \pi$ respectively by QCD sum rules approach. We include the zero mode contribution and find it plays an important role in the sum rules. We predict that the masses of the states $\eta \pi$ and $\rho \pi$ both are 1.4-1.5 GeV. This is close to the experimental candidates ${\pi }_1(1370)$ and ${\pi }_1(1440)$.

5 pages, 4 Postscript figures

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Cited by in corpus (5)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• 1^{-+} light exotic mesons in QCD
• Revisiting the b1 pi and rho pi decay modes of the 1-+ light hybrid state with light-cone QCD sum rules
• Revisiting $1^{-+}$ and $0^{++}$ light hybrids from Monte-Carlo based QCD sum rules
• Mass of $1^{-+}$ four-quark--hybrid mixed states