the combination $\sqrt{M(\nu-\nu_{min})}=|\vec p|$ corresponds to the three-momentum of the knocked-out nucleon.

As a result, we obtain the following representation of the quasielastic structure functions of the deuteron: F\_[1,2]{}\^[d,QE]{}=F\_[1,2]{}\^+F\_[1,2]{}\^[PWBA]{}+F\_[1,2]{}\^[FSI]{},\[model1\] according to the ingredients discussed above. To describe data at arbitrary kinematics, we allow for a rescaling of each ingredient by a function of $Q^2$ that should be obtained from the fit to the deuteron photo- and electrodesintegration data. $$\begin{aligned}
F_1^\perp&=&C_\perp\frac{G_E^2+\tau
  G_M^2}{1+\tau}\frac{1}{2|\vec q|}S_\perp(\nu,Q^2),\nn\\
F_2^\perp&=& \frac{\nu Q^2}{M_d|\vec q|^2}F_1^\perp,\nn\\
F_1^{PWBA}&=&f_T^{PWBA}\!\!(Q^2)\frac{Q^2}{4|\vec q|}G_M^2 S(\nu,Q^2),\nn\\
F_2^{PWBA}&=&f_T^{PWBA}\!\!(Q^2)\frac{\nu Q^4}{M_d|\vec q|^5}\frac{G_E^2+\tau
  G_M^2}{1+\tau}\nn\\
&\times&S(\nu,Q^2) (M+\frac{\nu}{2})^2,\nn\\
F_1^{FSI}&=&M_d f_T^{FSI}(Q^2)\sigma_T^0,\nn\\
F_2^{FSI}&=&\frac{\nu Q^2}{|\vec
  q|^2}(f_T^{FSI}(Q^2)\sigma_T^0+f_L^{FSI}(Q^2)\sigma_L^0),
\label{model2}\end{aligned}$$ where we adopted the following forms: f\_T\^[PWBA]{}(Q\^2)&=&,\
f\_T\^[FSI]{}(Q\^2)&=&,\
f\_L\^[FSI]{}(Q\^2)&=&.\[fit\] We fitted the available data from $Q^2=0.005$ GeV$^2$ to $Q^2=3$ GeV$^2$, and the resulting values of the parameters are listed in Table \[tab1\].

         $a_1$         $b_1$(GeV$^{-2}$)   $a_2$(GeV$^{-3}$)
  ------------------- ------------------- -------------------
       0.995(5)             25.4(6)             215(35)
   $b_2$(GeV$^{-2}$)   $a_3$(GeV$^{-3}$)   $b_3$(GeV$^{-2}$)
         52(8)             3.5(1.5)            24.5(8.0)

  : The values of the parameters introduced in Eq. (\[fit\]) as obtained from a fit to the deuteron QE data.[]{data-label="tab1"}

![(Color online) Scaling factors $f_T^{i}(Q^2)$ with uncertainty thereof: $i=PWBA$ (red solid lines), and $i=FSI$ (blue solid line) with uncertainty thereof (thin blue short-dashed lines) plotted vs. QE data as function of $Q^2$. []{data-label="fig1"}](scaling_FTQE_FTFSI_8-01-2014.pdf){width="8.5cm"}

![(Color online) Rescaled PWBA model of Eqs. (\[model1\], \[model2\]) 