| In this paper, the present status of the development for atomic and molecular physics and the importance of highly charged ions are briefly introduced and the achievement of theoretical study is elaborated. The essential points of full core plus correlation (FCPC) method are described. This method is further expanded to calculate the non-relativistic energies of 1s2nl (l=p,d.n≤9) states for lithium-like Cu26+ion with higher nuclear charge. In order to obtain the high-precision theoretical results, The corrections to the energy of these states from relativistic and mass-polarization effects are calculated by using the first-order perturbation theory. the contributions from higher angular momentum partial wave and the core-correction are involved. the corrections from higher-order relativistic and quantum electrodynamics (QED) effects are also estimated. The ionization energy, excitation energy and transition energy are obtained. In the calculation of the fine structure splitting for these states, we not only take into account the spin-orbit and spin-other-orbit interactions, but also estimate the QED and higher-order relativistic contributions.Based on the energies and wavefuctions of 1s2nl excited state l(l=p,d; n≤9)for lithium-like ions obtained form the FCPC method,the quantum defects for every Ryderg series of these ions are determined with the single channel quantum defect theory.With the quantum defects obtained in this work as input,the term energies for lowly excited states are calculated again by the iteration method in order to the result which obtained to two methods has carried on the comparison. In this paper FCPC method is extended to calculated the oscillator strength of 1s2nl(l =p,d; n≤9)states which dipole transition in three standards (length, speed and acceleration) for Cu26+ ion. Combining the quantum defect theory with the discrete oscillator strength, the discrete oscillator strengths for the transitions form the given initial state to highly excited state and the oscillator strength density corresponding to the bound-free transitions are obtained. |