Rate of radiated power loss with different statistical distributions

Abstract

Abstract.We compute the energy emitted in the radiative recombination process (or radiated power loss) of point particles of charge Ze and -Z'e with nonrelativistic velocities and reduced mass M, useful in a great variety of problems, averaged over Maxwellian and nonMaxwellian distributions. This has been accomplished using a recent parametrization, obtained by us, of the nonrelativistic, radiative recombination cross section in the dipole approximation, valid for all values of the energy.

Electron radiative recombination with a hydrogen-like ion

“…We suggest a uniform parametrizations for the total emission coefficient and for transition to the first level They have the accuracy better than 1.4% and 1.6%, respectively, in the entire range of temperatures. In [61], Erdas and Quarati presented results of tabulation of the emission coefficient in a wider interval 10 −6 <T/J Z <10 8 , but we concluded that these authors overestimated q rr by 5%-70% in the range 3×10 −4 < T/J Z <1. Note also that evaluating the rate and emission coefficients for T/J Z  10 5 have no practical meaning since non-relativistic theory of recombination is not applicable at so large temperatures.…”

“…Further studies of RR cross sections, effective radiation, rate and emission coefficients following Seaton's work are given in [45][46][47][48][49][50][51][52][53][54][55][56][57][58][59][60][61][62], where the coefficients for hydrogen-like ions were calculated in [49,[56][57][58][59][60][61][62]. In particular, accurate piecewisecontinuous parametrization for the total cross section is proposed by Erdas and coauthors in [60] (whereas their parametrization of the total effective radiation coefficient seems erroneous).…”

“…A more complicated formula for the recombination rate coefficient k rr , containing the summation of an infinite series, was used in [14,51,52,54]. Tabulations of fits to the recombination rate coefficient k rr and/or emission coefficient q rr have been done by Tarter [47], Aldrovandi and Pequignot [48,50,53], Martin [58], Erdas and Quarati [61].…”