Аннотация:The predictive calculations of the single-particle halo structure in Zr isotopes near the neutrondrip line have been carried out using the dispersion optical model. The influence of the expectedincrease in the diffuseness parameter of the nuclear potential for neutron–excess nuclei on the meansquare radii of halo states and their populations has been investigated. A significant difference hasbeen shown between the number of neutrons in halo states and the number of neutrons in the region𝑟 > 12 fm where there is no spatial correlation between halo neutrons and the nuclear core.