Abstract
In this paper, we tentatively assign Z_{c}(3900) to be an axialvector molecular state, and calculate its magnetic moment using the QCD sum rule method in an external weak electromagnetic field. Starting with the two-point correlation function in the external electromagnetic field and expanding it in powers of the electromagnetic interaction Hamiltonian, we extract the mass and pole residue of the Z_{c}(3900) state from the leading term in the expansion and the magnetic moment from the linear response to the external electromagnetic field. The numerical values are m_{Z_{c}}=3.97pm 0.12,text{ GeV } in agreement with the experimental value m^{exp}_{Z_{c}}=3899.0pm 3.6pm 4.9text{ MeV }, lambda _{Z_{c}}=2.1pm 0.4times 10^{-2},text{ GeV}^{5} and mu _{Z_{c}}=0.19^{+0.04}_{-0.01}mu _{N}.
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