Eur. Phys. J. C (2013) 73: 2628
https://doi.org/10.1140/epjc/s10052-013-2628-y

Regular Article - Theoretical Physics

Chiral structure of vector and axial-vector tetraquark currents

School of Physics and Nuclear Energy Engineering and International Research Center for Nuclei and Particles in the Cosmos, Beihang University, Beijing, 100191, China

^* e-mail: hxchen@rcnp.osaka-u.ac.jp

Received: 5 September 2013
Revised: 15 October 2013
Published online: 8 November 2013

Abstract

We investigate the chiral structure of local vector and axial-vector tetraquark currents, and study their chiral transformation properties. We consider the charge-conjugation parity and classify all the isovector vector and axial-vector local tetraquark currents of quantum numbers I ^G J ^PC =1⁻1⁻⁺, I ^G J ^PC =1⁺1⁻⁻, I ^G J ^PC =1⁻1⁺⁺ and I ^G J ^PC =1⁺1⁺⁻. We find that there is a one to one correspondence among them. Using these currents, we perform QCD sum rule analyses. Our results suggest that there is a missing b ₁ state having I ^G J ^PC =1⁺1⁺⁻ and a mass around 1.47–1.66 GeV.