Precision measurement of longitudinal and transverse response function of quasielastic electron scattering in the momentum transfer range 0.55 GeV/c $\leq |\vec{q}| \leq$ 1.0 GeV/c

To test the Coulomb Sum Rule in nuclei, a precision measurement of inclusive electron scattering cross sections in the quasi-elastic region was performed at Jefferson Lab. Incident electrons with energy ranging from 0.4 GeV to 4 GeV, are scattered from He, C, Fe, and Pb nuclei at four scattering angles(15$^{\circ}$ , 60$^{\circ}$ , 90$^{\circ}$ , 120$^{\circ}$ ), and scattered energies ranging from 0.1 GeV to 4 GeV. The Rosenbluth separation method is used to extract the transverse and longitudinal response functions at three momentum transfers in the range 0.55 GeV/c $\leq |\vec{q}| \leq$ 1.0 GeV/c. The Coulomb Sum is determined in the same $ |\vec{q}|$ range and compared to predictions. We will discuss the impact of our result on short range correlations and possible modification of the nucleon magnetic properties in the nuclear medium.