Fully-relativistic Study On Wave Functions Of Lithium-like Isoelectron Sequences With Z=31?40

The energy level structure and radiation transition of highly charged ions are the core content of atomic physics in recent years,especially the research on isoelectronic system,which reveals the basic physical laws of atoms and provides data references for other subjects.Based on the fully-relativistic Dirac equation,the multi-configuration Dirac-Fock(MCDF)method is adopted to study the energy structure of 1s²2s and 1s²np(n=2?5)states for lithium-like ion(Z=31-40)systematically with the considerations of high-order corrections,such as transverse field interaction,quantum electrodynamics(QED)correction and nuclear mass correction.The calculation is performed with the relativistic atomic structure package GRASP2K.The fine structure energy levels of 1s²np states,the transition energy,transition probability,oscillator strength and line strength between different states are calculated with wave function.The results obtained in this paper follow the variation law with the nuclear charge number Z and the variation law with the principal quantum number n.With the increase of the nuclear charge number Z,the importance of the relativistic effect and the QED effect is proved too.The electron charge density?₍₀₎and the radial expected value at the core of 1s²np(n=2?5)configuration with Z=31?40 are calculated.The comparison between the results obtained in this work and other theoretical results shows the accurate calculation on relativistic effect is very important.Finally,the hyperfine structure and Lande g factor of 1s²np(n=2?5)configuration of Li-like ions with Z=31?40 are calculated,the results are expected to provide reference data for related theoretical research in the future.