Theoretical Research On The Energy Level And Oscillator Strength For Ga²⁸⁺ Ion

In this paper, the position, development and tendency of atomic and molecular physics are briefly described, and the Full Core Plus Correlation (FCPC) method is introduced, too. On this basis, the FCPC method is used to calculate ionization potentials, the energies, transition energies and excitation energies of 1s2nl (l=s, p; n≤9) Rydberg series for Ga²⁸⁺ ion. There are two corrections to non-relativistic energies. One is the core-correction, and the other one is higher angular momentum partial wave contribution to the energies. It is also necessary to consider the first-order correction, the higher-order relativistic contribution and QED correction to the energies. So an total energy can be obtained by the non-relativistic energies plus the relativistic correction. In the calculation of the fine structure splitting, the spin-orbit and spin-other-orbit interactions are taken into account, so are the QED and higher-order contributions to relativistic effects.On the grounds of the single-channel quantum defect theory, the quantum defects of 1s2nl (l=s, p) Rydberg series for Ga²⁸⁺ ion can be educed, which is the input when the ionization potentials are calculated by semi-empirical approach. The results is consistent with that of the FCPC method. It turns out that the theoretical divination of the energies of any high-excited states (n≥10) can be brought into the effect .The dipole oscillator strengths for the 1s²np-1s2n's (2≤n≤9, 3≤n'≤9) transitions of Ga²⁸⁺ ion are calculated by the energies obtained above. The theoretical prediction of oscillator strengths for Ga²⁸⁺ ion can be popularized to the whole energy region covering the continuum states.