  We explain excess events near the endpoints of the double beta decay spectra
of several elements, using the neutrinoless emission of massless Goldstone
bosons. Models with scalars carrying lepton number $-2$ are proposed for this
purpose so that ordinary neutrinoless double beta decay is forbidden, and we
can raise the scale of global symmetry breaking above the 10 keV scale needed
for observable emission of conventional Majorons in double beta decay. The
electron spectrum has a different shape, and the rate depends on different
nuclear matrix elements, than for the emission of ordinary Majorons.
