Theoretical Research On The Energy Level Structures And Dipole Transitions Of 1s²ns And 1s²np States For Zn²⁷⁺ Ion

No energy level structure experimental data for the lithium-like ions of Zn²⁷⁺ ion have been found, and the existing theoretical data are few and far between, so this work is more theoretical study of meaning. The non-relativistic ionization potentials and excitation energies of 1s²ns and 1s²np states (2≤n≤9)for the lithium-like ions of Zn²⁷⁺ are calculated by FCPC (Full Core Plus Correllation) method. Mass polarization corrections and relativistic effects which including correction to kinetic energy, Darwin term, electron-electron contact term, and orbit-orbit interaction are evaluated as the first-order perturbation corrections, and the higher-order relativistic contribution to the energy is estimated under a hydrogenic approximation. In order to obtain the high-precision theoretical results, the contribution from quantum-electrodynamics(QED) correction is also included by using the effective nuclear charge.Based on the energy levels of 1s²ns and 1s²np states (2≤n≤9)for lithium-like ions of Zn²⁷⁺ ,ionization potential and excitation energy for each state are calculated. According to the selection rules, every probable existed transition energy and wavelength are calculated, so does the Grotrian diagram.The non-relativistic fine structures of each states are determined by computing the expectation values of the spin-orbit and spin-other-orbit interaction operators in the LSJ coupling scheme. And then consider the QED effect and higher-order relativistic contribution which can also lead fine structures splitting.The quantum defects for every Rydberg series of Zn²⁷⁺ ion are also obtained. The oscillator strengths for transitions and the oscillator strength density corresponding to the bounding-free transitions from a certain initial state to all the final states of the Rydberg series are also obtained.