EFFECTIVE SPIN-SPIN INTERACTION IN NEUTRON MATTER

A set of equations for calculating the effective-interaction matrix R( ik)(q, omega) and the response function chi(ik)(q, omega) is derived. These equations take into account the spin degrees of freedom of infin ite neutron matter. For isotropic neutron matter with the Bethe intera ction, the effective spin-spin interaction g(k) is calculated in the l ocal approximation of the functional approach in the density range fro m rho = 0.17 to 25 fm(-3). It is shown that this interaction weakly de pends on the density within the range under consideration and that nei ther ferromagnetic nor antiferromagnetic phase transitions occur in th e system.