Chiral Structure of Vector and Axial-Vector Tetraquark Currents

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 b1 state having I(G)J(PC)=1(+)1(+-) and a mass around 1.47-1.66 GeV.

27 pages, 8 figures, 3 tables, accepted by EPJC. arXiv admin note: text overlap with arXiv:1311.4434

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• $a_1(1420)$ resonance as a tetraquark state and its isospin partner
• Decay properties of $P_c$ states through the Fierz rearrangement
• Decay properties of the $Z_c(3900)$ through the Fierz rearrangement
• Decay properties of the $X(3872)$ through the Fierz rearrangement