Time evolution of beam current in the recycler ring

We study the time evolution of the beam current in the Fermilab Recycler Ring due to abrupt physical processes (single Coloumb scattering, nuclear scattering) that cause sudden loss of beam, and diffusive processes (multiple Coloumb scattering, lattice dependence, etc.) which cause emittance growth. This emittance growth combined with finite aperture of the beam pipe will lead to eventual loss of most beam. We develop a fitting technique to the time evolution of beam current to estimate emittance growth. Finally we compare the directly measured growth with the fitted value