Data on the fragmentation of Be-12, Be-14, on C-12 at 56 and 65 MeV pe
r nucleon have been obtained. The Be-12 fragments from the breakup of
Be-14 display both a narrow longitudinal momentum distribution and a d
istinctive angular distribution that is consistent with an extended ne
utron ''halo'' in this nucleus. This is the first experiment in which
both longitudinal and transverse fragment momentum, of exotic nuclei h
ave been simultaneously measured.