New Integrodifferential Equation and Integral Constraint for the Correlation Function Between Two Nucleons in Nuclear Matter

A nonlinear integrodifferential equation for the correlation function between two nucleons in nuclear matter is obtained. This equation results by writing the (trial) expression of the energy per particle in nuclear matter in a suitable form and applying subsequently the variational principle. The investigation of the behavior of the equation for large internucleon distances $r_{12}$ leads to a new integral constraint on the correlation function.