**78**: 518

https://doi.org/10.1140/epjc/s10052-018-5996-5

Regular Article - Theoretical Physics

## Vector tetraquark state candidates: *Y*(4260 / 4220), *Y*(4360 / 4320), *Y*(4390) and *Y*(4660 / 4630)

Department of Physics, North China Electric Power University, Baoding, 071003, People’s Republic of China

^{*} e-mail: zgwang@aliyun.com

Received:
16
March
2018

Accepted:
14
June
2018

Published online:
23
June
2018

In this article, we construct the and type currents to interpolate the vector tetraquark states, then carry out the operator product expansion up to the vacuum condensates of dimension-10 in a consistent way, and obtain four QCD sum rules. In calculations, we use the formula to determine the optimal energy scales of the QCD spectral densities, moreover, we take the experimental values of the masses of the *Y*(4260 / 4220), *Y*(4360 / 4320), *Y*(4390) and *Y*(4660 / 4630) as input parameters and fit the pole residues to reproduce the correlation functions at the QCD side. The numerical results support assigning the *Y*(4660 / 4630) to be the type vector tetraquark state , assigning the *Y*(4360 / 4320) to be type vector tetraquark state , and disfavor assigning the *Y*(4260 / 4220) and *Y*(4390) to be the pure vector tetraquark states.

*© The Author(s), 2018*