We have searched for antihelium in the galactic cosmic rays using data
obtained on the flight of the Balloon-borne Experiment with a Superco
nducting Spectrometer (BESS) launched from Lynn Lake, Manitoba, in nor
thern Canada on 1995 July 25. The balloon reached an altitude of 36.5
km with a residual overburden of 5 g cm(-2). The total observation tim
e was 12.2 kr with a live-time fraction of 0.61. No antihelium was obs
erved after selections based on dE/dx and event quality cuts at rigidi
ties between 1.6 and 16 GV/c; we infer that 536,420 helium nuclei surv
ived the same cuts. This result leads to an upper limit to the <(He)ov
er bar>/He abundance ratio of 8.1 x 10(-6) (95% confidence level), a f
actor of 2.7 over the lowest previous limit. Because this limit is for
the first time at the level where predicted limits become astrophysic
ally interesting (Ahlen et al.), we have reexamined the transport of c
osmic rays in intergalactic space. We show that little can be learned
about distant (> 10 Mpc) domains of antimatter from a null result.