ENERGY WEIGHTED SUM-RULES FOR SPECTRAL FUNCTIONS IN NUCLEAR-MATTER

The energy weighted sum rule of single-particle spectral functions in nuclear matter is studied. The spectral functions include the influenc e of short-range correlations as generated by the Reid potential in th e framework of the self-consistent Green's function method. For the ra nge of momenta studied, the sum rule is rather accurately fulfilled nu merically (within 5%). It is observed that the high-energy tail of the particle part of the spectral function exhausts most of the sum rule, which confirms the need for the appearance of single-particle strengt h at very high energies.