Analysis of the Z(4430) as the First Radial Excitation of the Z,(3900)

In this article, we take the Ze(3900) and Z(4430) as the ground state and the first radial excited state of the axial-vector tetraquark states with J(Pc) = 1(+-), respectively, and study their masses and pole residues with the QCD sum rules by calculating the contributions of the vacuum condensates up to dimension-10 in a consistent way in the operator product expansion. The numerical result favors assigning the Ze(3900) and Z(4430) as the ground state and first radial excited state of the axial-vector tetra quark states, respectively.