We observed a young rotation-powered pulsar, PSR 1509 - 58, in the har
d X-ray/gamma-ray or the soft gamma-ray band with a balloon-borne dete
ctor in Brazil on 1991 November 19 (UT). With a timing analysis we det
ected pulsations in the energy band 94-240 keV at the 150.687 ms perio
d determined from radio observations. The pulsating flux is (7.1 +/- 1
.7) x 10(-4) cm-2 s-1 in this band, and the energy spectrum follows a
power law with photon index alpha = 1.64 +/- 0.4. The averaged pulse p
rofile shows a broad single peak with a sharp rise and has a duty cycl
e around 50% or higher: these features are similar to what have been o
bserved in the X-ray band by the Ginga satellite. Based on the data av
ailable now, the fraction of energy transformed from rotational energy
loss to pulsed/nonpulsed soft gamma-ray radiation is estimated. If th
e solid angle swept by the pulsed beam is about the same as for the Cr
ab pulsar (PSR 0531 + 21) and the Vela pulsar (PSR 0833 - 45), PSR 150
9 - 58 turn out to be an extremely efficient pulsar, converting a larg
e fraction of its rotational energy loss to radiation, as the outer ga
p model predicts. The observed pulsed spectrum, however, is strong in
the soft gamma-ray band, in a sharp contrast to what has been observed
in the Vela pulsar, a pulsar expected to be similar PSR 1509 - 58 in
the outer gap model. The fact that the pulse profile remains broad and
single-peaked in the soft gamma-ray band is also new for Crab-like pu
lsars. In these regards, PSR 1509 - 58 may require some alteration to
the standard outer gap model or even a new model for gamma-ray emissio
n in pulsars.