Certain dark matter theories predict self interaction between dark matter particles. Assuming that dark matter particles interact pairwise via an attractive Yukawa potential, this analysis determines whether decay modes exist for three- and four-body bound states. These original results are reported in terms of the potential's screening length. Few-body calculations employ the Stochastic Variational Method of . Accessible to an undergraduate audience, this work also discusses the relevant theory needed to apply this method and why the results are significant in dark matter research.