Simply looking at what the subject is, “potentials lead” would have to be right. Why do students have “leads” because they are thinking of scattering as their subject subject? Do you want to say, “different scattering of potentials leads to something…”? How would we know if we have one.? I think “scattering potentials” is the subject and “lead” the predicate. Also, it seems “cross-section scaling” would be correct and would mean the same as “scaling of cross sections. If you want to end a sentence like this, will you spell the phrase “what” instead of “this thing? If not, then I think you might be suffering from a desire to use or repeat a final “s” more often than English allows.)

Simply looking at what the subject is, “potentials lead” would have to be right. Why do students have “leads” because they are thinking of scattering as their subject subject? Do you want to say, “different scattering of potentials leads to something…”? How would we know if we have one.? I think “scattering potentials” is the subject and “lead” the predicate. Also, it seems “cross-section scaling” would be correct and would mean the same as “scaling of cross sections. If you want to end a sentence like this, will you spell the phrase “what” instead of “this thing? If not, then I think you might be suffering from a desire to use or repeat a final “s” more often than English allows.)