Coupled-State Calculations of H + -H Scattering

摘要: The proton-hydrogen scattering problem has been treated numerically under the following approximations: (1) protons describe straight-line classical trajectories; (2) (spinless) electronic wave function is expanded in terms of a finite subset traveling hydrogenic functions centered about either proton. resulting set coupled differential equations solved without further approximation, except for numerical techniques. Most results reported include $1S$, $2S$, $2{P}_{0}$, and $2{P}_{\ifmmode\pm\else\textpm\fi{}1}$ states. A limited number calculations $3S$, $3{P}_{0}$, $3{P}_{\ifmmode\pm\else\textpm\fi{}1}$ $2P$ direct excitation transfer cross sections follow trend experimental data Stebbings et al., but are low by factor roughly 2. also agree qualitatively with experiments Everhart al. on 3\ifmmode^\circ\else\textdegree\fi{} total probability, somewhat out phase respect to oscillation this quantity energy. Large polarizations final states predicted. Limitations model discussed; possible modifications improvements suggested.