Theoretical calculation of the cross sections of dielectronic recombination onHe+

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The relativistic multichannel theory has been applied to calculations of cross sections of dielectronic recombination on ${\mathrm{He}}^{+}.$ A first-order approximation is adopted for the radiative process. A correction based on isolated resonance approximation is used for the very narrow resonances among the ${2lnl}^{\ensuremath{'}}$ states to include the radiation width. Twelve partial cross sections are calculated for both the ${2lnl}^{\ensuremath{'}}$ and ${3lnl}^{\ensuremath{'}}$ resonance states with $nl~5.$ The convolved cross sections for the $nl~3$ states are in good agreement with those of the observations. A quantitative discrepancy for the $n=4$ and $n=5$ states may be attributed to the l dependence of the field ionization and the radiative decay during the time of flight.