Collision Spectroscopy. IV. Semiclassical Theory of Inelastic Scattering with Applications to He^{+} +Ne
Abstract
A twostate semiclassical theory of elastic and inelastic scattering is formulated and compared to the StueckelbergLandauZener, distortedwave, and closecoupled twostate methods. The semiclassical theory is shown to explain the physical origin of oscillatory structure on both the elastic and inelastic differential cross sections, and of a rainbowlike structure in the elastic scattering. Using simple and plausible interactions, theoretical elastic and inelastic differential cross sections are calculated and compared to the experimental measurements of the elastic and inelastic differential cross sections for He^{+} +Ne. The scattering is characterized by a ^{2}Σ^{2}Σ crossing located at r_{x}=2.02 a. u. with an energy E_{x}=0.530 a. u., leading to the final state He^{+}+Ne^{*} (2p^{5} 3s). The interaction energy at the crossing is found to be V_{12}(r_{x})=0.0082 a. u.
 Publication:

Physical Review A
 Pub Date:
 May 1971
 DOI:
 10.1103/PhysRevA.3.1607
 Bibcode:
 1971PhRvA...3.1607O