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Cross sections for the p($e,e'\pi^{+}$)n process on $^1$H, $^2$H, $^{12}$C,$^{27}$Al, $^{63}$Cu and $^{197}$Au targets were measured at the ThomasJefferson National Accelerator Facility (Jefferson Lab) in order to extract thenuclear transparencies. Data were taken for four-momentum transfers rangingfrom $Q^2$=1.1 to 4.8 GeV$^2$ for a fixed center of mass energy of $W$=2.14GeV. The ratio of $\sigma_L$ and $\sigma_T$ was extracted from the measuredcross sections for $^1$H, $^2$H, $^{12}$C and $^{63}$Cu targets at $Q^2$ = 2.15and 4.0 GeV$^2$ allowing for additional studies of the reaction mechanism. Theexperimental setup and the analysis of the data are described in detailincluding systematic studies needed to obtain the results. The results for thenuclear transparency and the differential cross sections as a function of thepion momentum at the different values of $Q^2$ are presented. Global featuresof the data are discussed and the data are compared with the results of modelcalculations for the p($e,e'\pi^{+}$)n reaction from nuclear targets.

Study of the A(e,e'$\pi^+$) Reaction on $^1$H, $^2$H, $^{12}$C, $^{27}$Al, $^{63}$Cu and $^{197}$Au