Low and high energy approximation in the atomic radiative recombination

Using exact analytical expressions of the nonrelativistic dipole recombination cross sections for a pure Coulomb potential summed over the quantum numbers j and l, we numerically compute the recombination cross sections in the various n states for 1\ensuremath{\le}n\ensuremath{\le}500 and the total cross section for all possible values of the incoming electron energy. We present a parametrization of the recombination cross sections in the various n states, of the total cross section, and of the energy emission cross section. A few low- and high-energy approximations are also derived and discussed.Using exact analytical expressions of the nonrelativistic dipole recombination cross sections for a pure Coulomb potential summed over the quantum numbers j and l, we numerically compute the recombination cross sections in the various n states for 1\ensuremath{\le}n\ensuremath{\le}500 and the total cross section for all possible values of the incoming electron energy. We present a parametrization of the recombination cross sections in the various n states, of the total cross section, and of the energy emission cross section. A few low- and high-energy approximations are also derived and discussed.

Physical Review AJul 1, 19939 citations

Enhancement of dielectronic recombination by an electric field

Lung Ko, Victor Klimenko, Thomas F. Gallagher

Dielectronic recombination from a continuum of finite bandwidth has been examined down to very low electric fields, 60 mV/cm, with very high resolution. A tunable laser is used to excite atoms to the continuum of finite bandwidth, the broad $\mathrm{Ba} {6p}_{3/2}11d$ autoionizing state, which straddles the ${\mathrm{Ba}}^{+} {6p}_{1/2}$ limit. Atoms which make transitions into the high-lying $\mathrm{Ba} {6p}_{1/2}\mathrm{nd}$ states and radiatively decay to the bound $6snd$ states are detected by field ionization. The recombination, integrated over energy, has been measured for fields from 60 mV/cm to 28 V/cm, showing a peak at 0.5 V/cm, in agreement with expectation based on calculations done for other systems. The final-state distribution has been measured, showing that the outer electron remains a spectator in the radiative decay. At fields below 1.0 V/cm and binding energies less than 12 ${\mathrm{cm}}^{\ensuremath{-}1}$ below the ${\mathrm{Ba}}^{+} {6p}_{1/2}$ limit we find a deviation of our experimental results from the isolated resonance approximation.Dielectronic recombination from a continuum of finite bandwidth has been examined down to very low electric fields, 60 mV/cm, with very high resolution. A tunable laser is used to excite atoms to the continuum of finite bandwidth, the broad $\mathrm{Ba} {6p}_{3/2}11d$ autoionizing state, which straddles the ${\mathrm{Ba}}^{+} {6p}_{1/2}$ limit. Atoms which make transitions into the high-lying $\mathrm{Ba} {6p}_{1/2}\mathrm{nd}$ states and radiatively decay to the bound $6snd$ states are detected by field ionization. The recombination, integrated over energy, has been measured for fields from 60 mV/cm to 28 V/cm, showing a peak at 0.5 V/cm, in agreement with expectation based on calculations done for other systems. The final-state distribution has been measured, showing that the outer electron remains a spectator in the radiative decay. At fields below 1.0 V/cm and binding energies less than 12 ${\mathrm{cm}}^{\ensuremath{-}1}$ below the ${\mathrm{Ba}}^{+} {6p}_{1/2}$ limit we find a deviation of our experimental results from the isolated resonance approximation.

Physical Review AMar 1, 199918 citations

\mathrm{Ba} {6p}_{3/2}11d

autoionizing state, which straddles the

{\mathrm{Ba}}^{+} {6p}_{1/2}

limit. Atoms which make transitions into the high-lying

\mathrm{Ba} {6p}_{1/2}\mathrm{nd}

states and radiatively decay to the bound

6snd

states are detected by field ionization. The recombination, integrated over energy, has been measured for fields from 60 mV/cm to 28 V/cm, showing a peak at 0.5 V/cm, in agreement with expectation based on calculations done for other systems. The final-state distribution has been measured, showing that the outer electron remains a spectator in the radiative decay. At fields below 1.0 V/cm and binding energies less than 12 ${\mathrm{cm}}^{\ensuremath{-}1}$ below the

{\mathrm{Ba}}^{+} {6p}_{1/2}

limit we find a deviation of our experimental results from the isolated resonance approximation.