A very sensitive search for cosmic-ray antihelium was performed using
data obtained from three scientific flights of the BESS magnetic rigid
ity spectrometer. We have not observed any antihelium; this places a m
odel-independent upper limit (95% C.L.) on the antihelium flux of 6 x
10(-4) m(-2)sr(-1)s(-1) at the top of the atmosphere in the rigidity r
egion 1 to 16 GV, after correcting for the estimated interaction loss
of antihelium in the air and in the instrument. The corresponding uppe
r limit on the <(He)over bar>/He flux ratio is 3.1 x 10(-6), 30 times
more stringent than the limits obtained in similar rigidity regions wi
th magnetic spectrometers previous to BESS. (C) 1998 Published by Else
vier Science B.V.