Constrains on dark matter cross section with standard model particles from the orbital period decay of binary pulsars

It is shown that the data from the orbital period decay of binary pulsars give strong constraints on the dark matter-nucleons cross section. The limits are robust and competitive because this new method for testing dark matter interactions with standard model particles has a minimal number of assumptions combined with the extremely high accuracy on the measurement of the decay rate of the orbital period of binary systems. Our results exclude (with 95% confidence) spin independent interactions with cross sections greater that 3.1x10-31 cm2 for a dark matter particle with mass mc2 = 1 keV and 3.7x10-31 cm2 for mc2= 1 TeV which improves by several orders of magnitude previous constraints.