Theoretical Study On The Resonant Electron Recombination Process Of Au⁶⁹⁺-Au⁶⁵⁺ Ions

Resonant electron recombination is a very important electron-ion collision process in astrophysical and fusion plasmas.The study of this process plays an important role in understanding the ionization balance inside the plasma,the charge state distribution of various highly charged ions,and the accurate diagnosis of the plasma state.In the indirect laser drive of inertial confinement fusion（ICF）,gold is used as a work material of particular interest in a hohlraum.Hence accurate DR cross sections,rate coefficients and the degree of linear polarizations of the X-ray dielectronic satellite lines of highly ionized gold ions are of great significance for modeling astrophysical and fusion plasmas.In addition,the accurate atomic structure and spectral data of highly charged gold ions also have wide application value in the fields of plasma science,biomedicine and high-energy astrophysics.In this thesis,under the relativistic distort wave approximation,the prominent?n=1 resonant electron recombination with L-shell excitations process and radiative spectral characteristics of Ne-like to Si-like Au(Au⁶⁹⁺-Au⁶⁵⁺)ions in inertial fusion plasma are systematically studied by using the Flexible Atomic Code（FAC）package based on the relativistic configuration interaction（RCI）method and the calculation program of the degree of linear polarizations of resonant electron recombination radiation developed by density matrix theory.The main work includes the following two aspects:Firstly,the L-shell dielectronic recombination（DR）and trielectronic recombination（TR）of the highly charged Mg-like gold ions(Au⁶⁷⁺)in the ground state 2s²2p⁶3s^{2 1}S₀have been studied systematically.The resonance energies,resonance strengths,cross sections and rate coefficients are carefully calculated for?n=1（2s/2p→3l）transition with considering Breit and QED corrections.The effects of high-order TR and electron correlation on the resonance energies and cross sections are discussed in detail.The calculated cross sections are compared with the EBIT measurements of recombination cross sections for the LMM manifolds of highly charged Ne-to Al-like gold ions,it shows a good agreement.With considering both dielectronic and trielectronic recombination,the total and partial rate coefficients of Au⁶⁷⁺ions through the various resonant excited configuration complexes（2s2p）^-13ln’’l’’and（2s2p）^-13s^-13l3l’n’’l’’（n’’=3-12）are calculated.For the convenient use of the calculated results in plasma modeling,we fitted the total rate coefficients with a semiempirical formula,and gave the fitting parameters.In the calculations,the contributions from the higher excited resonance groups n’’≥13are evaluated by an extrapolation method,which is about 2.93%to total rate coefficient.Furthermore,in order to investigate the importance of TR process on the plasma ionization balance and radiation energy,we also calculated the rate coefficients from the high-order TR processes.It is found that the TR process contributes the total rate coefficients about 12.85%,and can’t be neglected.Secondly,the DR and high-order TR,quadruelectronic recombination（QR）processes and X-ray polarization characteristics of L-shell excitationΔn=1 transition of Ne-like to Si-like(Au⁶⁹⁺-Au⁶⁵⁺)iso-nuclear sequence gold ions in the ground states.The resonance energy,resonance strength,autoionization rates,resonance capture strength,total width and radiative decay branching ratio for the resonance excited states2s²2p⁵3l^an’l’and 2s2p⁶3l^an’l’formed by the 2s/2p→3l transition are carefully calculated,as well as the electric dipole transition energy,dielectronic satellite line strengths,wavelength,radiative transition probability and weighted oscillator strength.The cross sections of L-shell excitationΔn=1 transition of Au⁶⁹⁺-Au⁶⁵⁺iso-nuclear sequence ions are systematically studied.Additionally,using the density matrix formular,the degree of linear polarizations of X-ray dielectronic satellite lines and angular distribution W（θ）produced by dominant LMM,LMN resonance processes are calculated,and used to obtain the DR satellite spectra of Au⁶⁹⁺-Au⁶⁵⁺iso-nuclear sequence ions in X-ray regions with wavelength of 0.7-1.5?.The results show that the strongest contribution to the spectral line from the 3d-2p transition.In this paper,the EBIT experimental results of the LMM DR spectra of Au⁶⁹⁺-Au⁶⁵⁺iso-nuclear sequence ions located at 2.6-5.6 ke V energy regions are further simulated.Our theoretical results show an excellent agreement with the experimental values.This study is expected to provide valuable theoretical information for the analysis of experimental spectra and modeling of fusion plasma.