Unified calculation of generalized oscillator strength of argon ranging from bound to continuum states

Gao, Xiang; Jin, Runsen; Zeng, De-Ling; Han, Xuefeng; Yan, Jun; Li, Jiaming

doi:10.1103/physreva.92.052712

Cited by 9 publications

(38 citation statements)

References 62 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…From the geometric view, Eqs ( 4b ) and ( 5 ) can be represented as a one-dimension curve and a (N th − 1)-dimension surface in a N th dimensional space respectively. For cases with , which are somewhat different from the case associated with only two thresholds 19 – 21 , 25 – 28 , 35 , 36 , where the solutions of the Eqs ( 4b ) and ( 5 ) can be represented graphically in a plot with the only two effective principal quantum numbers. More specifically, with only two thresholds, there are two sets of effective principal quantum numbers, n 1 number of ν 1 corresponding to the first threshold I one and n 2 number of ν 2 corresponding to the second threshold I two with I one < I two .…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Analytical Property of Scattering Matrix:Spectroscopy Phenomena and Sharp Overlapping Autoionization Resonances

Jin

Han

Gao

et al. 2017

Sci Rep

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Resultsmentioning

confidence: 99%

“…We return to examine photoionization processes of Ne + from both the and initial states. With the calculated MQDT parameters for all 1/2 + , 3/2 + , 5/2 + final channels, photoionization cross sections, i.e., the oscillator strength densities 21 for all eigenchannels are calculated. As shown in Fig.…”

Section: Resultsmentioning

confidence: 99%

Analytical Property of Scattering Matrix:Spectroscopy Phenomena and Sharp Overlapping Autoionization Resonances

Jin

Han

Gao

et al. 2017

Sci Rep

Self Cite

View full text Add to dashboard Cite

show abstract

“…The relativistic eigenchannel R-matrix method (R-R-eigen) [8][9][10][11][12][13][14] is applied in this study to stringently treat the complex atomic multielectron problem. Briefly, the coupling of Nelectron ion-core target states and an excited electron with the appropriate angular momentum forms channels for the N + 1-electron excited complex with a specific total angular momentum.…”

Section: A Calculation Of Eigenchannel Parametersmentioning

confidence: 99%

“…Our R-R-eigen method [8][9][10][11][12][13][14] differs from the traditional R-matrix method [22][23][24][25][26][27] mainly by definitions of physical channels, which includes not only opened channels (with positive orbital energies) but also several relevant closed channels (with negative orbital energies). Therefore, physical channels (the number of which is denoted as n p ) include all Rydbergtype bound electrons and their adjacent continua with orbital energy in the energy range of ε > −q 2 /l 2 (in Ry, where q is the charge of a long-range potential and l is the orbital angular momentum of the electron) owing to the mathematical properties of Coulomb wave functions [20].…”

Section: A Calculation Of Eigenchannel Parametersmentioning

confidence: 99%

“…Based on analytical continuation properties of short-range scattering matrices, we have developed the relativistic eigenchannel R-matrix method (R-R-eigen code) [8][9][10][11][12][13][14], which has been successfully applied for many atomic processes, such as electron impact excitations [8,9], photoionizations [10,11,14], etc. In this method, we first calculate short-range scattering matrices, i.e., physical parameters associated with the multichannel quantum defect theory (MQDT) [15][16][17][18][19][20][21], and related wave functions for both discrete and continuous energy regions of interest.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Relativistic eigenchannelR-matrix studies of the strong intrashell electron correlations in highly chargedAr13+ions

et al. 2020

Self Cite

View full text Add to dashboard Cite

Highly charged ion systems play an important role in simulation and diagnostics of astrophysical and fusion plasmas. Due to dominant strong Coulomb interactions from the nuclear charge, electron correlations are generally thought to be less prominent than relativistic effects and other effects in HCIs. In this paper, we demonstrate the importance of strong intrashell electron correlations from the quasidegeneracy of 2s, 2p orbitals in highly charged B-like Ar 13+ ions. Such strong intrashell electron interactions manifest as an atomic system with many channel interactions, which will ultimately form a much more complex atomic spectrum than the neutral B atom in the isoelectronic sequence. As a typical example, the relativistic eigenchannel R-matrix method (R-R-eigen code) was successfully applied to investigate the complex spectrum of Ar 13+ ions with J π = 1.5 + symmetry in discrete and autoionization regions. Calculated results obviously show interesting behaviors of strong intrashell electron correlations in HCIs. Additionally, it is also beneficial to understand discrepancies in the low-energy electron-ion recombination spectra of Be-like Ar 14+ ions between experimental observations at the main cooler-storage ring of the Heavy Ion Research Facility in Lanzhou and distorted wave calculation.

show abstract

Intimate relationship between spectroscopy and collisions: a scenario to calculate relevant atomic data for astrophysics

Gao

Han

2016

J. Phys. B: At. Mol. Opt. Phys.

Self Cite

View full text Add to dashboard Cite

An extended atomic data base with sufficiently high precision in energy levels and transition/collision rates is required for satellite observation in astrophysics studies and energy development research in inertial confinement fusion and magnetic confinement fusion. We summarize in this paper a scenario for performing calculations leading to such large-scale atomic data with high precision based on the analytical continuation properties of the scattering matrices, connecting spectroscopy and collisions. Based on the scenario, we calculate directly the scattering matrices with spectroscopic accuracy, i.e. the accurate multi-channel quantum defect theory parameters in both bound and continuum energy regions based on the recently developed eigenchannel R-matrix approach. Applications of the related atomic processes are presented to demonstrate the advantages enjoyed by this approach, which is hoped to meet the requirements in the stages of precision physics for astrophysics and energy research.

show abstract

Unified calculation of generalized oscillator strength of argon ranging from bound to continuum states

Cited by 9 publications

References 62 publications

Analytical Property of Scattering Matrix:Spectroscopy Phenomena and Sharp Overlapping Autoionization Resonances

Analytical Property of Scattering Matrix:Spectroscopy Phenomena and Sharp Overlapping Autoionization Resonances

Relativistic eigenchannelR-matrix studies of the strong intrashell electron correlations in highly chargedAr13+ions

Intimate relationship between spectroscopy and collisions: a scenario to calculate relevant atomic data for astrophysics

Contact Info

Product

Resources

About