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Title: Comprehensive rate coefficients for electron-collision-induced transitions in hydrogen

Energy-changing electron-hydrogen atom collisions are crucial to regulating the energy balance in astrophysical and laboratory plasmas and are relevant to the formation of stellar atmospheres, recombination in H II clouds, primordial recombination, three-body recombination, and heating in ultracold and fusion plasmas. Computational modeling of electron-hydrogen collision has been attempted through quantum mechanical scattering state-to-state calculations of transitions involving low-lying energy levels in hydrogen (with principal quantum number n < 7) and at large principal quantum numbers using classical trajectory techniques. Analytical expressions are proposed that interpolate the current quantum mechanical and classical trajectory results for electron-hydrogen scattering in the entire range of energy levels for nearly the entire temperature range of interest in astrophysical environments. An asymptotic expression for the Born cross section is interpolated with a modified expression previously derived for electron-hydrogen scattering in the Rydberg regime using classical trajectory Monte Carlo simulations. The derived formula is compared to existing numerical data for transitions involving low principal quantum numbers, and the dependence of the deviations on temperature is discussed.
Authors:
 [1] ;  [2] ;  [3]
  1. Department of Physics, Texas Southern University, Houston, TX 77004 (United States)
  2. Dipartimento di Fisica e Astronomia "Galileo Galilei," Università di Padova, Via Marzolo 8, I-35131 Padova (Italy)
  3. ITAMP, Harvard-Smithsonian Center for Astrophysics, Cambridge, MA 02138 (United States)
Publication Date:
OSTI Identifier:
22348380
Resource Type:
Journal Article
Resource Relation:
Journal Name: Astrophysical Journal; Journal Volume: 780; Journal Issue: 1; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ASTROPHYSICS; ASYMPTOTIC SOLUTIONS; ATOM COLLISIONS; BORN APPROXIMATION; COMPUTERIZED SIMULATION; ELECTRON COLLISIONS; ENERGY BALANCE; HYDROGEN; MONTE CARLO METHOD; QUANTUM MECHANICS; QUANTUM NUMBERS; RECOMBINATION; RYDBERG STATES; SCATTERING; STARS; STELLAR ATMOSPHERES; TEMPERATURE RANGE; THREE-BODY PROBLEM; TRAJECTORIES; UNIVERSE