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The dispersive optical model gives us the reliable predictions of the nuclear structure of the medium and heavy mass halo nuclei near the neutron drip line. The halo structure of the Ce isotopes near the neutron drip line is formed due to the occupation of the 3d and 4s1/2 states. The number of neutrons in the spatially decorrelated region of the density of Ce isotopes near the neutron drip line doesn’t exceed 2 neutrons.