  Intrabeam scattering is the major mechanism resulting in a growth of beam
emittances and fast luminosity degradation in the Tevatron. As a result in the
case of optimal collider operation only about 40% of antiprotons are used to
the store end and the rest are discarded. Beam cooling is the only effective
remedy to increase the particle burn rate and, consequently, the luminosity.
Unfortunately neither electron nor stochastic cooling can be effective at the
Tevatron energy and bunch density. Thus the optical stochastic cooling (OSC) is
the only promising technology capable to cool the Tevatron beam. Possible ways
of such cooling implementation in the Tevatron and advances in the OSC cooling
theory are discussed in this paper. The technique looks promising and
potentially can double the average Tevatron luminosity without increasing its
peak value and the antiproton production.
