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We report the first measurement of the $(e,e'p)$ reaction cross-sectionratios for Helium-3 ($^3$He), Tritium ($^3$H), and Deuterium ($d$). Themeasurement covered a missing momentum range of $40 \le p_{miss} \le 550$MeV$/c$, at large momentum transfer ($\langle Q^2 \rangle \approx 1.9$(GeV$/c$)$^2$) and $x_B>1$, which minimized contributions from nonquasi-elastic (QE) reaction mechanisms. The data is compared with plane-waveimpulse approximation (PWIA) calculations using realistic spectral functionsand momentum distributions. The measured and PWIA-calculated cross-sectionratios for $^3$He$/d$ and $^3$H$/d$ extend to just above the typical nucleonFermi-momentum ($k_F \approx 250$ MeV$/c$) and differ from each other by $\sim20\%$, while for $^3$He/$^3$H they agree within the measurement accuracy ofabout 3\%. At momenta above $k_F$, the measured $^3$He/$^3$H ratios differ fromthe calculation by $20\% - 50\%$. Final state interaction (FSI) calculationsusing the generalized Eikonal Approximation indicate that FSI should change the$^3$He/$^3$H cross-section ratio for this measurement by less than 5\%. Ifthese calculations are correct, then the differences at large missing momentabetween the $^3$He/$^3$H experimental and calculated ratios could be due to theunderlying $NN$ interaction, and thus could provide new constraints on thepreviously loosely-constrained short-distance parts of the $NN$ interaction.

Comparing proton momentum distributions in $A=2$ and 3 nuclei via $^2$H $^3$H and $^3$He $(e, e'p)$ measurements