Аннотация:The evolution of neutron single-particle spectra of isotones with N = 32 and 34 new magicneutron numbers in the region 16 ≤ Z ≤ 32 was calculated in the dispersive optical model. It was shownthat the minimum of the difference between the Fermi energy and the half-sum of the energy levels of thelast predominantly occupied state and the first predominately unoccupied state is achieved in the magicisotones with N = 32 and 34. The calculated root-mean-square radius of the neutron halo-like state 2p3/2in the doublemagic 52Ca nucleus exceeded the radius of the underlying 1f7/2 state by 0.8 fm. It is consistentwith the recent experimental data and theoretical predictions that explain “unexpectedly” large root-meansquarecharge radius of this nucleus.