Experiments with separated beams in Run I at the Tevatron collider

During the Tevatron collider Run I, a great deal of effort was spent understanding the luminosity at the two colliding detectors. In collaboration with the Tevatron operations group, the DZero experiment recorded data while the colliding beams were intentionally separated by several beam widths in the horizontal and vertical planes. The resulting luminosity profiles contain a great deal of information about the lattice and beam size parameters at the low-beta focus, which can be extracted by fitting in a variety of ways. This paper reviews details of these separated beam measurements and present results on Tevatron lattice parameter and luminosity determination