Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2004-10-05
Phys.Rev. C70 (2004) 054001
Physics
Nuclear Physics
Nuclear Theory
11 pages, 6 figuers, accepted for publication in Physical Review C
Scientific paper
10.1103/PhysRevC.70.054001
We calculate the density-dependent spin-asymmetry energy $S(k_f)$ of isospin-symmetric nuclear matter in the three-loop approximation of chiral perturbation theory. The interaction contributions to $S(k_f)$ originate from one-pion exchange, iterated one-pion exchange, and (irreducible) two-pion exchange with no, single, and double virtual $\Delta$-isobar excitation. We find that the truncation to $1\pi$-exchange and iterated $1\pi$-exchange terms (which leads already to a good nuclear matter equation of state) is spin-unstable, since $S(k_{f0})<0$. The inclusion of the chiral $\pi N\Delta$-dynamics guarantees the spin-stability of nuclear matter. The corresponding spin-asymmetry energy $S(k_f)$ stays positive within a wide range of an undetermined short-range parameter $S_5$ (which we also estimate from realistic NN-potentials). Our results reemphasize the important role played by two-pion exchange with virtual $\Delta$-isobar excitation for the nuclear matter many-body problem. Its explicit inclusion is essential in order to obtain good bulk and single-particle properties.
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