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Resolve "Revamp EPA to include position-dependence"

Frank Krauss requested to merge 576-revamp-epa-to-include-position-dependence-2 into master

Description

Re-structuring the EPA module to:

  • add transparency
  • allow for ion initial states in a more coherent way
  • add new form factors (e.g. Wood-Saxon etc. for ions)
  • improve the handling in the impact parameter plane, relevant for rescattering

Test Plan

We can compare/plot form factors with the EPA_Spectra_Plotter. This includes:

  • checks of numerical integration (for example for q^2 integrals of point-like, Gauss and dipole form factors with analytic expressions)
  • check the numerical integration for N(x,b) with analytic results for point-like particles
  • check MC vs. analytics for b*N(x,b), relevant for the positioning in impact parameter space (transverse plane)
  • check cross sections

Example Result

  • some first plots in the overleaf

Additional Checklist Items

  • I have updated documentation as needed
  • I considered if this should be cherry-picked/ported somewhere else (rel-2-x or master), and if yes, opened a corresponding issue or MR

I will update documentation etc. together with the "big" amisic MR

Closes #576

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