=  \frac{\rho_\chi}{m_\chi} \frac{N_{\rm cell} \alpha}{00 \pi m_\chi^0}  \int {\rm d}\ln q \left(\frac{E_e}{q} \right) \eta(v_{\rm min}(q,E_e))\overline{\left| \mathcal{M}(q) \right|^0} \left| f_{\rm crystal}(q,E_e) \right|^0 \,