dorsal/arxiv
View SchemaSpin-asymmetry energy of nuclear matter
| Authors | N. Kaiser |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0410021 |
| URL | https://arxiv.org/abs/nucl-th/0410021 |
| DOI | 10.1103/PhysRevC.70.054001 |
| Journal | Phys.Rev. C70 (2004) 054001 |
Abstract
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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"abstract": "We calculate the density-dependent spin-asymmetry energy $S(k_f)$ of\nisospin-symmetric nuclear matter in the three-loop approximation of chiral\nperturbation theory. The interaction contributions to $S(k_f)$ originate from\none-pion exchange, iterated one-pion exchange, and (irreducible) two-pion\nexchange with no, single, and double virtual $\\Delta$-isobar excitation. We\nfind that the truncation to $1\\pi$-exchange and iterated $1\\pi$-exchange terms\n(which leads already to a good nuclear matter equation of state) is\nspin-unstable, since $S(k_{f0})\u003c0$. The inclusion of the chiral $\\pi\nN\\Delta$-dynamics guarantees the spin-stability of nuclear matter. The\ncorresponding spin-asymmetry energy $S(k_f)$ stays positive within a wide range\nof an undetermined short-range parameter $S_5$ (which we also estimate from\nrealistic NN-potentials). Our results reemphasize the important role played by\ntwo-pion exchange with virtual $\\Delta$-isobar excitation for the nuclear\nmatter many-body problem. Its explicit inclusion is essential in order to\nobtain good bulk and single-particle properties.",
"arxiv_id": "nucl-th/0410021",
"authors": [
"N. Kaiser"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.70.054001",
"journal_ref": "Phys.Rev. C70 (2004) 054001",
"title": "Spin-asymmetry energy of nuclear matter",
"url": "https://arxiv.org/abs/nucl-th/0410021"
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