Effects of Isotope Characteristics on the Electron System Ground State Energy of Helium-Like Ions

Abstract

The main goal of this work is to establish a link between the energy characteristics of the ground state of helium-like ions and the isotope characteristics of the nucleus of the system. High-precision calculations of the electron ground state energies of helium-like ions require to take into account the effects associated with nuclear characteristics and electron correlations. In our previous work, we calculated ground state electron energies, mass corrections and mass polarization effects of helium-like isoelectronic ions for the main nuclides with nuclear charge from $Z=2$ to $Z=118$. In the present work are discussed the results for 3833 existing isotopes in the same range of nuclear charge. The results presented are without the inclusion of the mass polarization effect in the minimization procedure. The complex dependence of the ground state energy on the mass corrections and mass polarization effects as a function of charge Z and neutron number N are studied. Staggering analysis for the ground state energy dependence on Z and N helped establish the electron characteristic dependence on the nuclear magic numbers.