Cross section, differential excitation

The differential cross section for inelastic collisions exciting the nth state of the target then takes the fomi... 

The generalized Prony analysis of END trajectories for this system yield total and state resolved differential cross-sections. In Figure 5, we show the results. The theoretical analysis, which has no problem distinguishing between the symmetric and asymmetric str etch, shows that the asymmetric mode is only excited to a minor extent. The corresponding state resolved cross-section is about two orders of magnitude less than that of the symmetric stretch. 

Figure 3. State resolved differential cross-section versus laboratory scattering angle for vibrational excitation of hydrogen molecules into state v = 4 in single collisions with 30-eV protons.

Figure 4. The experimental [50] total and three-state resolved differential cross-sections of vibrational excitations of the water molecule in collisions with 46-eV protons.

Figure 20 Doubly differential cross sections for ejection of electrons of 219 eV (16 Ry) from He by 2-MeV He ions. The points are measured cross sections and the calculated results are line A— projectile ionization, target remains in the ground state line B—projectile ionization with simultaneous target excitation line C— target ionization, projectile remains in the ground state and line D—target ionization with simultaneous projectile excitation. (From Ref. 70.)...

Ion-impact excitation has been widely studied in the rare gases260 270 and for alkali metal ion-atom collisions.271 280 In many cases excitation functions have been measured (i.e., total cross sections as a function of initial relative translational energy), and in some instances the angular dependencies of the differential cross sections for inelastic scattering have been determined. The most striking feature of the results from these experiments is the oscillatory structure that is evident in many of the... 

Finally, we bring attention to an experiment by Schepper et al.132 on vibrational excitation of N2 and CO in collisions with ground-state potassium without electronic excitation, who observe a special type of oscillations in the differential cross section. This may be of importance in a detailed discussion of quenching processes in the outgoing channel. 

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