Deep inelastic separated response functions fromCa40andCa48

Deep inelastic scattering cross sections have been measured for ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$ and ${}_{}{}^{48}{}_{}{}^{}\mathrm{Ca}$ at electron energies between 100 and 375 MeV at scattering angles of 90° and 140°. Longitudinal and transverse response functions at three-momentum transfers between 250 and 410 MeV/c have been extracted using a Rosenbluth separation. The response functions are compared to calculations modeling the nucleus as a noninteracting relativistic Fermi gas. The model is found to agree with the observed transverse response function in the region of expected quasi-free nucleon knockout, but the model overestimates the observed longitudinal response. Comparisons of the response functions of the two isotopes are made, and differences between ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$ and ${}_{}{}^{48}{}_{}{}^{}\mathrm{Ca}$ are seen.