When Dark Matter interacts with Cosmic Rays or Interstellar Matter: A
  Morphological Study
  Excess emission over expected diffuse astrophysical backgrounds in the
direction of the Galactic center region has been claimed at various
wavelengths, from radio to gamma rays. Among particle models advocated to
explain such observations, several invoke interactions between dark matter
particles and ordinary matter, such as cosmic rays, interstellar gas or free
electrons. Depending on the specific interstellar matter particles' species and
energy, such models predict distinct morphological features. In this study we
make detailed predictions for the morphology of models where the relevant
electromagnetic emission is proportional to the product of the dark matter
density profile and the density of interstellar matter or cosmic rays. We
compare the predicted latitudinal and longitudinal distributions with
observations, and provide the associated set of relevant spatial templates.
