  A nonrelativistic unparticle can be defined as an excitation created by an
operator with a definite scaling dimension in a nonrelativistic field theory
with an approximate conformal symmetry. The point production rate of an
unparticle has power-law dependence on its total energy with an exponent
determined by its scaling dimension. We use the exact result for the 3-point
function of primary operators in a nonrelativistic conformal field theory to
derive the contribution to the point production rate of the unparticle from its
decay into another unparticle recoiling against a particle. In the case where
the conformal symmetry is broken by a large positive scattering length, we
deduce the exponent of the energy in the point production rate of the loosely
bound two-particle state recoiling against a particle with large relative
momentum.
