Precise determination of the pole position of the exotic Zc(3900)

We perform a unified description of the experimental data of the pi(+)pi(-) and J/psi pi(+/-) invariant mass spectra for e(+)e(-)-> J/psi pi(+)pi(-) and the (DD)-D-0*(-)mass spectrum for e(+)e(-)->(DD)-D-0*(-) pi(+) at e(+)e(-) center-of-mass energies 4.23 and 4.26 GeV. The analysis takes into account open-charm meson loops that contain triangle singularities, the J/psi pi-D (D) over bar* coupled-channel interaction respecting unitarity, and the strong pi pi-K (K) over bar final state interaction using dispersion relations. The analysis leads to a precise determination of theZc(3900) pole with the pole mass and width (3880.7 +/- 1.7(stat)+/- 22.4(syst)) MeV and (35.9 +/- 1.4(stat)+/- 15.3(syst)) MeV, respectively,and hints at that the D (D) over bar* molecular and non-molecular components are of similar importance in the Z(c)(3900) formation