The results of WATCH/Granat X-ray observations of the bursting pulsar
GRO J1744-28, carried out between January and March 1996 juring a leng
thy burst from this transient source, are presented. The main goal of
these observations was to reliably determine the flux from the source
during and between bursts, which was made possible by the ability of t
he WATCH instrument to measure very high photon fluxes without any inf
luence of inhibiting dead-time effects. At the maximum light recorded
in mid-January, the 8-20-keV flux from the source between bursts reach
ed similar to 3.7 Crab. If we assume that GRO J1744-28 is at the same
distance as the Galactic center and emits quasi-isotropically, then th
e X-ray (2-100 keV) luminosity of the source was at that time similar
to 10(39) erg s(-1), i.e., more than a factor of 5 greater than the Ed
dington luminosity for a neutron star. Seventy bursts were detected fr
om GRO J1744-28; at their maxima, the luminosity of the source exceede
d its luminosity between the bursts by a factor of 7-22, reaching simi
lar to 10(40) erg s(-1). All of the bursts had similar time histories
and essentially the same duration of similar to 4 s (FWHM). The burst
rate was, on the average, 41 +/- 5 events per day (given the exposure
time). The detection of super-Eddington luminosity of GRO J1744-28 can
be explained in terms of the Basko-Sunyaev model of a hollow accretio
n column in a strong magnetic field.