Electron-H-Atom Elastic-Scattering Resonances

A study of the structure of resonances just below the n = 2 excitation threshold in electron scattering by hydrogen atoms is carried out by utilizing an approximate method adopted from the projection-operator formalism. Analytic expressions for the level width near the threshold are obtained for both the singlet-and triplet-compound-state series with zero total angular momentum. It is found that the level widths behave like the level spacings in that they decrease exponentially as the levels approach the threshold. Nevertheless, the ratio between the level spacings and widths remains a constant less than 1. It is then concluded from the study that within the approximations adopted in the method, neither the singlet nor triplet series of the compound states become overlapping near the threshold. However, the Lamb shift may, by removing the degeneracy in the n -2 levels, cut off these infinite sequences of compound states, thereby restricting the number of allowed resonances. The interference between potential and resonance scatterings is also examined.

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LowestS1andP3

McGowan

1967

Phys. Rev.

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A study of the position and width of the lowest l S and 3 P resonances in the e-H. system was made by judiciously comparing the published data of McGowan, Clarke, and Curley with values of the cross section calculated for a variety of resonance positions Eo + and E + and Tc It is determined that the X S and 3 P resonance positions are Eo + =9.56±0.01 eV and Ef~=9.71±0.03 eV, while the respective widths are r 0 + =0.043=3=0.006 eV and rr">0.009 eV. The resonance shapes are shown to depend critically upon both the angle of observation and the angular resolution.

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Electron-H-Atom Elastic-Scattering Resonances

Abstract: Phys. Rev. Letters 15, 917 (1965)].

Cited by 15 publications

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The Negative Hydrogen Ion and Its Behavior in Atomic Collisions

The Negative Hydrogen Ion and Its Behavior in Atomic Collisions

Structure of Resonances in Electron Scattering by Hydrogen Atoms

LowestS1andP3

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