Theoretical Research Of The Behaviour For Ls²np-ls²n'd Transitions Of Ga²⁸⁺ Ion In The Whole Energy Region

In this paper, as the research object to highly charged Ga²⁸⁺ion, theoretical research of the Ga²⁸⁺ion 1s²np-1s²nd level structure in the whole energy region. Wave function of Ga²⁸⁺ion 1s²np,1s²nd states constructed by using the square-integrated Slater type basis function, which calculates two configurations non-relativistic energy. In the program calculation, angular momentum selected is limited, so it is necessery that adds on the contributions of energy both core correction and higher angular momentum. As the region of high-Z and high level energy , the number of particles is not all conserved..And movement of electrons and atomic number exists relationship, the larger nuclear charge the relativistic effects more increasing. The first-order relativistic effects and mass polarization effects as a perturbation to calculate its contribution to Ga²⁸⁺ion energy. Quantum electrodynamics(QED) effect and the contribution of higher order relativistic effects are calculated by effective nuclear charge theory. Add a variety of physical effects, the total energy of lithium Ga²⁸⁺ion 1s²np,1s²nd states would be determined, and then ionization energy, excitation energy and transition (wavelength) is also to be determined.Electron spin-orbit and spin-other-orbit interaction will cause the energy level splitting, and the splitting degree is determined by using the expected value of the spin-orbit and spin-other-orbit interaction (s-o + s-o-o) operator. QED effects and higher relatibistic effects cause energy level shift, prompting further level structure splitting. In the same Rydberg series, with the principal quantum number (n) increasing, the distance between two adjacent energy level decreases.The quantum defect of lithium Ga²⁸⁺ion 1s²np,1s²nd (2≤n≤9) states could be calculated according to the single-channel quantum defect theory.The energies of any highly excited states can be reliably predicted using the quantum defects that are function of energy. With n increasing, the quantum defect will gradually be a constant.Combining the obtioned wave function with transition energy, three alternative forms of the discrete dipole oscillator strengths for Ga²⁸⁺ion 1s²np-1s²n'd (2≤n≤9, 3≤n'≤9) can be calculated. Length oscillator strength, velocity oscillator strength and acceleration oscillator strength under the degree of compliance can test the accuracy of the wave function. Combining the length oscillator strength with quantum defect theory, it is extrapolated that the discrete oscillator strengths for the transitions from initial state 1s²2p to highly excited states 1s²nd and the oscillator strengths density , so as to realize the transition research of the whole region.