  We study binary mergers of ultralight bosonic dark matter cores by solving
the Gross-Pitaevskii-Poisson system of equations. The analysis centers on the
dynamics of the relaxation process and the behavior of the configuration
resulting from the merger, including the Gravitational Cooling with its
corresponding emission of mass and angular momentum. The oscillations of
density and size of the final configuration are characterized, indicating that
for the equal mass case the dependency of the amplitude and frequency of these
oscillations on the impact parameter of the pre-merger configuration is linear.
The amplitude of these oscillations changes by a factor of two or more
indicating the final configuration does not approach a clear stationary state
even though it oscillates around a virialized state. For the unequal mass case,
global quantities also indicate the final configuration oscillates around a
virialized state, although the density does not show a dominant oscillation
mode. The evolution of the angular momentum prior and post merger is analyzed
in all cases.
