Born Cross Sections for Inelastic Scattering of Electrons by Hydrogen Atoms. I.3s,3p,3dStates

Abstract

Born cross sections of all $n=3$ to $n=4$ transitions are calculated at ten incident electron energy values in the range 0.67-1400 ev, and those of strong optically allowed $n=3$ to $n=5$ transitions are calculated at five incident electron energy values in the range 1-10 000 ev. The cross sections obtained are much larger than for comparable transitions from the ground state, and the cross sections for transitions which are optically allowed and in which $n$ and $l$ change in the same sense are larger than those for other transitions. For all strong optically allowed transitions the Bethe (dipole) approximations to the Born cross sections are calculated and comparison shows that the Bethe formula gives a good fit to the Born approximation down to relatively low energies (\ensuremath{\approx}10 ev).