Published November 15, 1979 | Version v1
Journal article

Proton-hydrogen collisions: differential and total cross sections for H(2s) and H(2p) production in the 1-7 keV range

  • 1. Queen's Univ., Belfast, Northern Ireland (UK). Dept. of Applied Mathematics

Description

A multistate molecular approach to the proton-hydrogen collision is formulated in terms of an impact parameter perturbed stationary-states approximation. Spurious long range couplings are avoided and Galilean invariance is enforced by the inclusion of momentum translation factors which are determined variationally within an Euler-Lagrange formalism. Well defined radial and rotational coupling matrix elements are employed in the 1-7 keV impact energy range in a six-state (1sσsub(g), 2pσsub(u), 2pπsub(u), 3pσsub(u), 3pπsub(u), 4fσsub(u)) calculation of elastic and inelastic differential scattering cross sections, charge exchange probabilities and both direct and exchange H(2p) production total cross sections. They are also employed in the same energy range in a ten-state (1sσsub(g), 2pσsub(u), 3dπsub(u), 2pπsub(u), 2sσsub(g), 3pσsub(u), 3dσsub(g), 4fσsub(u), 4dπsub(g), 3pπsub(u)) calculation of both direct and exchange H(2s) production total cross sections. The results are in excellent accord with experimental data and show considerable improvement on previous molecular calculations. This success is attributed to the inclusion of both momentum translation factors and radial coupling matrix elements. (author)

Additional details

Publishing Information

Journal Title
Philos. Trans. R. Soc. London, Ser. A
Journal Volume
292
Journal Issue
1398
Series
Philos. Trans. R. Soc. London, Ser. A.
Journal Page Range
539-561
ISSN
0080-4614