Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2001-04-16
Phys.Atom.Nucl. 65 (2002) 1243-1258; Yad.Fiz. 65 (2002) 1276-1291
Physics
Nuclear Physics
Nuclear Theory
13 pages, 9 figures
Scientific paper
The Brueckner G-matrix for a slab of nuclear matter is analyzed in the singlet $^1S$ and triplet $^3S+^3D$ channels. The complete Hilbert space is split into two domains, the model subspace $S_0$, in which the two-particle propagator is calculated explicitly, and the complementary one, $S'$, in which the local potential approximation is used. This kind of local approximation was previously found to be quite accurate for the $^1S$ pairing problem. A set of model spaces $S_0(E_0)$ with different values of the cut-off energy $E_0$ is considered, $E_0$ being the upper limit for the single-particle energies of the states belonging to $S_0$. The independence of the G-matrix of $E_0$ is assumed as a criterion of validity of the local potential approximation. Such independence is obtained within few percent for $E_0=10 \div 20$ MeV for both the channels under consideration.
Baldo Marcello
Lombardo Umberto
Saperstein Eduard
Zverev M. V.
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