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More pronounced increase in the neutron surface diffuseness with increasing of neutron excess is expected for the nuclei far from the β-stability valley in comparison with the stable ones. Earlier, the halo and giant halo were predict- ed for the Zr isotopes near the neutron drip line by the relativistic Hartree- Bogoliubov theory. We studied the halo structure of these isotopes within the dispersive optical model. Influence of the diffuseness parameters of the volume and surface components of the dispersive optical model potential on the root- mean-square radii of Zr isotopes and its halo states, and their population was in- vestigated. The influence of the increase in the diffuseness aHF of the Hartree- Fock component, for example, was appeared to be double: root-mean-square ra- dius rnlj of 3p halo states decreased, but the number of neutrons nnlj in these states increased. It was shown also that the number of neutrons in halo states differed significantly from the number of neutrons in the halo region where there was no spatial correlation of neutrons in halo states with the core of the nucleus.