Mathematical Methods in the Semi-relativistic Single-particle Model for Superheavy Nuclei

摘要

Using original method of perturbation theory for semi-relativistic equation we have calculated single-nucleon energy levels for neutrons and protons shells, where the relativistic corrections for the mass and potential were included. We have found new candidates for the heaviest and more stable atomic nuclei _(114)~(298)X, _(114)~(328)X, _(120)~(334)X and _(126)~(340)X. The closed proton-neutron shells with Z=114, N=184; Z=114, N=214; Z=120, N=214; Z=126, N=214 magic pairs of protons- neutrons numbers were found. The highly accurate method for solution of semi-relativistic equation was used. The corrections for mass are comparable with the energies of protons and neutrons in the external shells and they are important for consideration of shells stability in the nuclei.