Stability of the Hartree-Fock Approximation in Nuclear Matter.

Hiroshi Uechi

N. David Mermin

N. David Mermin

J. Winter

P. Poschenrieder, M. K. Weigel

In this paper we present the theory of nuclear matter in the framework of relativistic nuclear field theory utilizing the technique of relativistic many-body Green's functions. The analytic properties of the Green's functions and related quantities are given and used to obtain the final set of equations for the nuclear matter problem. In detail, we have investigated theoretically and numerically the so-called ${\ensuremath{\Lambda}}^{00}$ and ${\ensuremath{\Lambda}}^{10}$ approximations. For comparison we also calculated the relativistic Hartree-Fock and the Brueckner-Hartree-Fock approximation, respectively. For masses and coupling strengths we used (phenomenological) parameter sets given by the Bonn and Groningen group. The results of the \ensuremath{\Lambda} approximations are similar to the relativistic Brueckner treatment.

B.I. Barts, Yu. L. Bolotin, M.I. Kazarinov

Nuclear-matter density oscillations are considered without the assumption that their amplitude is small. The so-called scaling version of the adiabatic time-dependent Hartree-Fock theory is used to find the collective Hamiltonian describing these oscillations. The question of under which conditions the oscillations in question can be studied in the harmonic approximation is investigated in detail.