Dynamic aperture and space charge effect studies for the Recycler ring   for Project-X
  A simplified Recycler lattice was created to fine tune injection straight, ring tune, and phase trombone. In this paper, we will present detailed modifications for further optimization of Recycler lattice which requires the investigation of tune footprint and dynamic aperture based on higher order momentum components of the magnetic fields, together with the space charge effects. 
M. Xiao, L. G. Vorobiev, D. E. Johnson (Fermilab)
physics.acc-ph