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In this work, we derive the nuclear form factor for the spin-independentcollision between the WIMPs and nucleus in terms of the relativistic mean field(RMF) theory. Comparison with the traditional form factors which are commonlyused in literature is given and it is found that our results are slightly abovethat of the 2PF model by 4% to 8%, but deviate from the Helm form factor by 15%to 25% for the whole recoil energy spectrum of 0$\sim $ 100 keV. Moreover,taking Xe and Ge as examples, we show the dependence of the form factor on therecoil energy.

Determining the nuclear form factor for detection of dark matter in the relativistic mean field theory