Abstract
An extended atomic data base with sufficiently high precision is required in astrophysics studies and the energy researches. For example, there are “infinite” energy levels in discrete energy region as well as overlapping resonances in autoionization region. We show in this paper the merits of our relativistic eigenchannel R-matrix method R-R-Eigen based on the analytical continuation properties of scattering matrices for the calculations of the energy levels, overlapping resonances and the related transitions. Using Ne+ as an illustration example, the scattering matrices of Ne+ in both discrete and continuum energy regions are calculated by our R-R-Eigen method directly. Based on our proposed projected high dimensional quantum-defect graph (symmetrized), one can readily determine the accuracies of the calculated scattering matrices using the experimental energy levels in a systematical way. The calculated resonant photoionization cross sections in the autoionization region are in excellent agreement with the benchmark high resolution experiments. With the scattering matrices checked/calibrated against spectroscopy data in both discrete and continuum energy regions, the relevant dynamical processes should be calculated with adequate accuracies. It should then satisfy the needs of the astrophysical and energy researches.
Highlights
Based on the analytical continuation properties of the short range scattering matrices, there exist intimate relations between atomic energy levels and the related electron-ion collision processes[18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33]
Using all available precision spectroscopic data to calibrate our calculated scattering matrices and the corresponding dipole transition matrix elements in the discrete energy region, the resonant photoionization cross sections are calculated in the autoionization region
With all necessary atomic data calculated with the method, the R-R-Eigen method should be indispensable in the study of basic dynamic processes in astrophysics and laboratory plasmas
Summary
An extended atomic data base with sufficiently high precision is required in astrophysics studies and the energy researches. Using all available precision spectroscopic data to calibrate our calculated scattering matrices and the corresponding dipole transition matrix elements in the discrete energy region, the resonant photoionization cross sections are calculated in the autoionization region They are in excellent agreement with the benchmark high resolution experiments conducted at the synchrotron radiation light source, i.e., the Advanced Light Source (ALS) at Lawrence Berkeley National Laboratory. In the calibration processes of the scattering matrices, we proposed a graphical method, i.e., projected high dimensional quantum-defect graph (symmetrized), to compare the theoretical energy levels with all the spectroscopic data in a systematical way readily for general multi-thresholds (more than two) cases This is an extension of the Lu-Fano plot[35, 36] valid only for two-thresholds cases and can be applied for any general atoms. With all necessary atomic data calculated with the method, the R-R-Eigen method should be indispensable in the study of basic dynamic processes in astrophysics and laboratory plasmas
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
