Beam-Beam Compensation at Fermilab, R&D Status.

Beam-beam interactions in Tevatron produce betatron
tune spread within each bunch as well as bunch to bunch 
tune spread, which usually more severe for antiprotons  
since the proton bunch population is higher. 
Some beam-beam effects for antiprotons can be compensated 
with the use of a counter-traveling electron beam. 
The status of theoretical studies of possibilities 
of the beam-beam compensation and the recent results 
from the test facility are reviewed in this report.