Coupled-bunch instabilities of the Tevatron at Run II

Abstract

The longitudinal and transverse coupled-bunch instabilities of the Tevatron at Run II are addressed in two scenarios. The first scenario corresponds to the present Run II condition: 36 proton bunches on 36 antiprotons. Each proton bunch contains 1.7 x 10{sup 11} particles with a rms bunch length 60 cm. The second scenario is for the future upgrade when there are 108 proton bunches colliding with 108 antiproton bunches. Each proton bunch contains 2.7 x 10{sup 11} particles with a rms bunch length 50 cm. The analysis shows that the growth rates of transverse coupled-bunch instabilities are slow and will be damped by a small betatron tune spread. On the other hand, growth rates of longitudinal coupled-bunch instabilities will be fast especially for the 108-by-108 scenario.