A new technique based on barium phosphate glass detectors was used in
searching for Dirac pointlike magnetic monopoles with n greater than o
r equal to 2 in ultrarelativistic heavy ion collisions. No candidates
were found in 1.05 x 10(9) and 3.08 x 10(10) interactions of 11A GeV A
u nuclei and 1.46 x 10(10) interactions of 160A GeV Pb nuclei with Pb
targets. The upper limits, on order of nb, on the production cross sec
tions for Dirac magnetic monopoles and other hypothetical highly ioniz
ing objects are well below those predicted via the Drell-Yan mechanism
. [S0031-9007(97)04267-1].