Abstract

Photoionization or photodetachment is an important process. It has applications in solar- and astrophysics. In addition to accurate wave function of the target, accurate continuum functions are required. There are various approaches, like exchange approximation, method of polarized orbitals, close-coupling approximation, R-matrix formulation, exterior complex scaling, the recent hybrid theory, etc., to calculate scattering functions. We describe some of them used in calculations of photodetachment or photoabsorption cross sections of ions and atoms. Comparisons of cross sections obtained using different approaches for the ejected electron are given. Furthermore, recombination rate coefficients are also important in solar- and astrophysics and they have been calculated at various electron temperatures using the Maxwell velocity distribution function. Approaches based on the method of polarized orbitals do not provide any resonance structure of photoabsorption cross sections, in spite of the fact that accurate results have been obtained away from the resonance region and in the resonance region by calculating continuum functions to calculate resonance widths using phase shifts in the Breit–Wigner formula for calculating resonance parameters. Accurate resonance parameters in the elastic cross sections have been obtained using the hybrid theory and they compare well with those obtained using the Feshbach formulation. We conclude that accurate results for photoabsorption cross sections can be obtained using the hybrid theory.

Highlights

  • Heliophysics Science Division, NASA/Goddard Space Flight Center, Greenbelt, MD 20771, USA; Abstract: Photoionization or photodetachment is an important process

  • We find that the results of ref. [10] differ from those calculated using the hybrid theory which provides accurate scattering functions

  • The left-hand side of Equation (32) is equal to 31.7 and the right-hand side is equal to 29.775. This shows that our cross section using the approximate wave functions exceed by 6.5%. This is confirmed by Ward et al [36], who have carried out accurate calculations using accurate initial state wave function having 95 linear parameters of Ps− and continuum functions were obtained using the Kohn variational principle with 220 linear parameters

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Summary

Introduction, Calculations and Results

Cross sections have been calculated using the Hylleraas functions with 364 terms for the initial state function, and when 35 short-range correlations are included in the final state wave function, as indicated in Equation (15). Bell and Kingston [10], using the method of polarized orbitals, calculated these cross sections

Photodetachment lowest curve is obtained when onlyonly the Figure
Radiative Attachment
Cross Sections Results
Photoejection with Excitation
Photoionization of Lithium and Sodium
Photodetachment of 3 Pe State of Negative Hydrogen Ion
Photodetachment of Negative Positronum Ion
Opacity
Conclusions
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