  We study interaction of low mass dark matter within beam dump experiments. In
particular we study the dipolar dark matter model which assumes that the dark
matter couples to Standard Model particles via its electric or magnetic dipole
moment. We analyse the constraints on this model in the context of a particular
beam dump experiment E613 conducted in the Fermilab. We find that dark matter
mass in the range of $1-10$ GeV with a magnetic dipole moment between
$(0.33-1.5)\times 10^{-7}\mu_B$ and a electric dipole moment between
$(0.5-3)\times 10^{-17}$ e-cm. We compare the bounds from other experimental
data, such as helioseismological data and direct detection experiments.
