Intensity interferometry in noncentral heavy ion collisions provides access
to novel information on the geometry of the effective pion-emitting source
. We demonstrate analytically that, even for vanishing pair momentum, the c
ross terms R-ol(2) and R-sl(2) of the HBT correlation function in general s
how a strong first harmonic in their azimuthal dependence. The strength of
this oscillation characterizes the tilt of the major axis of the spatial em
ission ellipsoid away from the direction of the beam. Event generator studi
es indicate that this tilt can be large (> 20 degrees) at AGS energies whic
h makes it by far the most significant azimuthally sensitive HBT signal at
these energies. Moreover, transport models suggest that for pions this spat
ial tilt is directed opposite to the tilt of the directed flow ellipsoid in
momentum space. A measurement of the azimuthal dependence of the HBT cross
terms R-ol(2) and R-sl(2) thus probes directly the physical origin of dire
cted pion flow. (C) 2000 Elsevier Science B.V. All rights reserved.