Betatron Tune Spread Generation and Differential Chromaticity Control by Octupole Families at Tevatron

Existing Tevatron octupoles have been rearranged into four functional families. Two of these families generate betatron tune spreads in the vertical and horizontal planes whereas the other two control the differential chromaticity between the proton and antiproton helices. The calculated effect on the tunes and chromaticities are compared with direct measurements. Analytical formulas for betatron tune distribution functions are presented.