RELATIVISTIC COULOMB SUM-RULES FOR (E,E')

A Coulomb sum rule is derived for the response of nuclei to (e, e') sc attering with large three-momentum transfers. Unlike the nonrelativist ic formulation, the relativistic Coulomb sum is restricted to spacelik e four-momenta for the most direct connection with experiments; an imm ediate consequence is that excitations involving antinucleons, e.g., N NBAR pair production, are approximately eliminated from the sum rule. Relativistic recoil and Fermi motion of target nucleons are correctly incorporated. The sum rule decomposes into one- and two-body parts, w ith correlation information in the second. The one-body part requires information on the nucleon momentum distribution function, which is in corporated by a moment expansion method. The sum rule given through th e second moment (RCSR-II) is tested in the Fermi gas model, and is sho wn to be sufficiently accurate for applications to data.