In order to evaluate the beam quality obtained with beam cooling applied, i
t is important to consider possible sources of beam heating. In this paper,
a theoretical study is presented of the influence of the residual gas, int
ra beam scattering, and other heating mechanisms, on the circulating antipr
otons in the Antiproton Decelerator (AD) (S. Maury, CERN Internal Note PS/A
R 96-43, 1996). From this study it has been possible to evaluate the coolin
g, the vacuum quality, and the control of other healing sources, necessary
to achieve the design goal of a two sigma transverse emittance of Ix mm mra
d at a momentum of 100 MeV/c. The calculations are compared to previous exp
erimental studies made in the AC, and good agreement is found. (C) 2000 Els
evier Science B.V. All rights reserved.