Discussion of Stopping Power Theories

In Section 2, we provide a precis of stopping power theory and its connection to the END approach for which we outline the salient features in Section 3. In Section 3.2, we discuss the treatment of the END trajectories and their connection to the differential cross section and energy loss. In Section 4, we present some simple applications and results of our approach. In Section 5, we discussed future directions on the END approach to stopping cross section. Finally, Section 6 contains our conclusions. 

As was discussed in section 2, Barkas et al. [1.4] found that the ranges of equivelocity -n and ti were not the same. Later, Andersen et al. [8.3, 8.4] observed that the stopping powers of fast, equivelocity protons and a particles did not scale exactly as q It is therefore clear that the q scaling of the Bethe theory does not give a satisfactory description of the slowing-down for non-asymptotic projectile velocities. 

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