CLASSICAL AND QUANTAL CALCULATIONS ON ELECTRON CAPTURE.
Physical sciences research paper no. 328,
AIR FORCE CAMBRIDGE RESEARCH LABS L G HANSCOM FIELD MASS
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Classical and quantal nonrelativistic scattering between simple atomic systems is reviewed, and most approximations currently used in calculations on electron capture are discussed. The OBK interaction is generalized to include capture from neutral atoms by singly charged many-electron ions the sum over the squares of the vector coupling coefficients is affected in the formula for the OBK cross section for p-orbital capture by protons into Hns. The cross section for H H1s to HSigma n1 H at high impact energies is determined classically. The second Born amplitudes at high impact energies for H H1s to H1s H and H D1s to H1s D are evaluated approximately using the Greens function of the post Hamiltonian. Two modifications of Thomas classical model for heavy atoms are proposed, and corresponding cross sections are calculated for H B to HSigma n1 B with B O, N, Ne, A, Kr, Xe. A semiclassical theory is developed for charge transfer in alkali atom-alkali-ion collision at low impact velocities, and cross sections are obtained for H, Li, Na, K, Rb, Cs. OBK cross sections are calculated for s-orbital capture from He1s2, N4S, O3P, and p-orbital capture from N4S, O3P, all for incident protons capturing into H1s. Born prior and post cross sections are calculated for H O3P to H1s O4S and H1s H1s to H-1s2 H.
- Atomic and Molecular Physics and Spectroscopy
- Quantum Theory and Relativity