Electron-Hydrogen Phase Shifts Just Below the Inelastic Threshold

byAaron TemkinGoddard Space Flight CenterSUMMARYThe singlet S-wave phase shifts for the scattering of electronsby atomic hydrogen just below the inelastic threshold (10.2 ev)are calculated by using a recently developed nonadiabatic theory.Previous calculations of Burke and Schey based on the nmch morerestricted close-coupling approximation yielded a resonancecharacterized by the phase shift going through _, radians. In viewof a theorem of Wigner and a calculation of Hol¢ien this result isindicative of a bound state of the compound system near the energy9.4 ev. It is argued on the basis of a previous calculation thatthisresonance must be distinct from another resonance near 10.1 ev.And on this basis it is concluded that this partial cross-sectionmust exhibit two resonances below threshold.