d(e,e'p) Studies of Exclusive Deuteron Electro-Disintegration

Abstract

The d(e,e'p) cross section was measured at momentum transfers $Q^2 = $ 0.8, 2.1 and 3.5 $(GeV/c)^2$ covering a wide range of proton kinematics at each $Q^2$ setting that made it possible to study this reaction as a function of missing momentum as well as a function of the neutron laboratory recoil angle $θ_{nq}$. Missing momentum distributions were determined for fixed values of $θ_{nq}$ up to missing momenta of 0.65 $GeV/c$. For the two larger momentum transfer settings, the characteristics of the experimental momentum distributions confirm the theoretical prediction that final state interactions (FSI) contribute maximally around a $θ_{nq} \sim 70^\circ$, while for $θ_{nq} < 45^\circ$ FSI are significantly reduced. The data at reduced FSI settings were best reproduced by calculations using the CD-Bonn potential wave functions.

Figures (15)

• Figure 1: (Color online) Comparison between the simulated yield using SIMC (solid line) and the experimental data (red data points with error bars) for $\hbox{$Q^2$} = 2.1$$\hbox{(GeV/$c$)}^2$ and $\hbox{$p_{m}$} = 0.1$$\hbox{GeV/$c$}$. The simulated data have been scaled to give the same integrated yield as the data.
• Figure 2: (Color online) Relative variation of the target thickness as a function of beam current: (a) $\hbox{$^{12}C(e,e^\prime p)$}$, (b)$\hbox{$^2H(e,e^\prime p)n$}$ rates are corrected for trigger and tracking efficiencies.
• Figure 3: (Color online) Experimental cross sections as a function of missing momentum $\hbox{$p_{m}$}$ and recoil angle $\hbox{$\theta_{nq}$}$ for $\hbox{$Q^2$} = 0.1$ (a), $\hbox{$Q^2$} = 2.1$ (b) and $\hbox{$Q^2$} = 3.5$$\hbox{(GeV/$c$)}^2$ (c). The various colors represent different values of $\hbox{$\theta_{nq}$}$.
• Figure 4: (Color online) (a) Bin correction factors ($f_{bc}$) for the angular distributions for $\hbox{$p_{m}$} = 0$ GeV/c (blue circles: FSI, violet stars: PWIA) and for $\hbox{$p_{m}$} = 0.5$ GeV/c (orange upward triangles: FSI, red downward triangles: PWIA). (b) The ratio of calculated bin correction factors including FSI ($f_{bc_{FSI}}$) to bin correction factors using PWIA only ($f_{bc_{PWIA}}$). Blue circles $\hbox{$p_{m}$} = 0$ GeV/c, red triangles $\hbox{$p_{m}$} = 0.5$ GeV/c.
• Figure 5: (Color online) Ratio of experimental cross sections to calculated cross section using the MS FSI V18 model (described in Sec. \ref{['L_theory']}). (a) For $\hbox{$p_{m}$} = 0.0$$\hbox{GeV/$c$}$ and (b) for $\hbox{$p_{m}$} = 0.1$$\hbox{GeV/$c$}$. The red circles are for $\hbox{$Q^2$} = 0.8$, the green triangles (pointing down) for $\hbox{$Q^2$} = 2.1$ and the blue triangles (pointing left) are for $\hbox{$Q^2$} = 3.5$$\hbox{(GeV/$c$)}^2$. The horizontal bar indicates the overall normalization error for the data sets.