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The influence of the finiteness of the proton radius and mass on the energiesof a hydrogen atom and hydrogen-like ions in a superstrong magnetic field isstudied. The finiteness of the nucleus size pushes the ground energy level upleading to a nontrivial dependence of the value of critical nucleus charge onthe external magnetic field.

The dependence of the atomic energy levels on a superstrong magnetic field with account of a finite nucleus radius and mass