Abstract
A many-body theory is developed where the Hilbert space is allowed to contain states of nucleons and mesons. The basis of the theory is the treatment of a field theoretical Hamiltonian within non-covariant perturbation theory. Only diagrams corresponding to a one boson exchange (OBE) are taken into account. First the two-body scattering problem is developed, yielding a scattering equation corresponding to that of Kadyshevsky. Then the theory is applied to the binding energy problem of nuclear matter in the two hole line approximation with a choice of the single particle spectrum taken analogously to the Brueckner-Bethe theory. The resulting equations contain meson current corrections which are physically interpreted. The standard Brueckner theory with static OBE forces is obtained in an adiabatic limit.
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