| In this paper,a larger CI is used to determine the core wave function in advance,with consideration of the relaxation of the core and the electron correlation effect between the shells,the product of the core wave function and the linear single-electron Slater orbit is multiplied to obtain the system wave function.The upper-bound energy of the highly charged lithium-like system is obtained using variational method.Then the non-relativistic energy of the system is acquired as the core correction and the higher-order angular momentum partial wave correction is considered.Finally,the results of the first-order relativistic correction and the mass polarization effect can be calculated with the corrections from electronic kinetic energy term,Darwin term,electron and electron contact term,orbit-orbit interaction term and mass polarization effect term.With the purpose of obtaining higher accurate results,the high-order relativistic correction and QED correction are also calculated.On this basis,the calculations of ionization energy,excitation energy,fine structure energy of the 1s~22l(l=0,1)configuration for highly charged lithium-like system(Z=41～50)are completed,the oscillator strength and transition probability of the 1s~22s-1s~22p dipole transition are calculated too.By analyzing the calculation results,it is found that the non-relativistic energy calculated in this paper is very close to the existing data.The fine structure energy of 1s~22p is linear with Zc~4.The results of oscillator strength in three-forms are almost the same.The calculation results in this paper show that it is accurate and effective to use the core as a single structural system wave function,and the three-electron wave function constructed performs very well in the entire configuration space. |
