https://doi.org/10.1140/epjc/s10052-014-2874-7
Regular Article - Theoretical Physics
Analysis of the 
, 
, 
, and 
as vector tetraquark states with QCD sum rules
Department of Physics, North China Electric Power University, Baoding, 071003, People’s Republic of China
* e-mail: zgwang@aliyun.com
Received:
24
March
2014
Accepted:
22
April
2014
Published online:
9
May
2014
In this article, we distinguish the charge conjugations of the interpolating currents, calculate the contributions of the vacuum condensates up to dimension-10 in the operator product expansion, and we study the masses and pole residues of the 
hidden charmed tetraquark states with the QCD sum rules. We suggest a formula 
with the effective mass 
to estimate the energy scales of the QCD spectral densities of the hidden charmed tetraquark states, which works very well. The numerical results disfavor assigning the , , and as the diquark–antidiquark (with the Dirac-spinor structure 
) type vector tetraquark states, and they favor assigning the , as the diquark–antidiquark type 
tetraquark states. While the masses of the tetraquark states with symbolic quark structures 
and 
favor assigning the as the 
diquark–antidiquark type tetraquark state, more experimental data are still needed to distinguish its quark constituents. There are no candidates for the positive charge conjugation vector tetraquark states; the predictions can be confronted with the experimental data in the future at the BESIII, LHCb and Belle-II.
© SIF and Springer-Verlag Berlin Heidelberg, 2014
