Abstract
A merging-beams technique was used to determine cross sections for the reaction ${\mathrm{H}}_{2}^{+}$ + ${\mathrm{H}}_{2}$ \ensuremath{\rightarrow} ${\mathrm{H}}_{3}^{+}$ + H as a function of interaction energy $W$. Cross-section measurements at $W$ were accompanied by measurements at 1 eV so that we obtained ratios of cross sections, $\frac{{Q}_{W}}{{Q}_{1}}$. These ratios were determined for $0.1 \mathrm{eV}\ensuremath{\le}W\ensuremath{\le}10 \mathrm{eV}$. Some information about the reaction was also obtained for $W\ensuremath{\le}0.03$ eV. An absolute cross section was determined for $W=1$ eV. Its estimated error is considerably larger than errors associated with the cross-section ratios. Gioumousis and Stevenson (GS) predict a linear dependence of the cross section on ${W}^{\ensuremath{-}\frac{1}{2}}$. On a $\frac{{Q}_{W}}{{Q}_{1}}$ versus ${W}^{\ensuremath{-}\frac{1}{2}}$ plot, a straight line can be fitted, within experimental error, to our values for $0.1 \mathrm{eV}\ensuremath{\le}W\ensuremath{\le}1 \mathrm{eV}$. This line is in fair agreement with that predicted by GS. On either side of this range, however, our ratios fall below the ${W}^{\ensuremath{-}\frac{1}{2}}$ fit. Between 5 and 7 eV our results indicate that, within experimental error, $\frac{{Q}_{W}}{{Q}_{1}}$ vanishes. On the high-energy side, such a falloff could perhaps be explained by a spectator stripping model. Our cross-section ratios are in general agreement with those obtained from a tandem mass-spectrometer experiment by Giese and Maier, and in rather poor agreement with the results of a single-state mass-spectrometer experiment by Reuben and Friedman. Lower $W'\mathrm{s}$ were obtained with the merging-beams technique than with the mass-spectrometer methods.
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