dorsal/arxiv
View SchemaSpin-isospin stability of nuclear matter
| Authors | N. Kaiser |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0601102 |
| URL | https://arxiv.org/abs/nucl-th/0601102 |
| DOI | 10.1103/PhysRevC.72.014007 |
| Journal | Phys.Rev. C72 (2005) 014007 |
Abstract
We calculate the density-dependent spin-isospin asymmetry energy $J(k_f)$ of nuclear matter in the three-loop approximation of chiral perturbation theory. The interaction contributions to $J(k_f)$ 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 approximation to $1\pi$-exchange and iterated $1\pi$-exchange terms (which leads already to a good nuclear matter equation of state by adjusting an emerging contact-term) is spin-isospin stable, since $J(k_{f0})\simeq 24 {\rm MeV}>0$. The inclusion of the chiral $\pi N\Delta$-dynamics, necessary in order to guarantee the spin-stability of nuclear matter, keeps this property intact. The corresponding spin-isospin asymmetry energy $J(k_f)$ stays positive even for extreme values of an undetermined short-distance parameter $J_5$ (whose possible range we estimate from realistic NN-potentials). The largest positive contribution to $J(k_f)$ (a term linear in density) comes from a two-body contact-term with its strength fitted to the empirical nuclear matter saturation point.
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"abstract": "We calculate the density-dependent spin-isospin asymmetry energy $J(k_f)$ of\nnuclear matter in the three-loop approximation of chiral perturbation theory.\nThe interaction contributions to $J(k_f)$ originate from one-pion exchange,\niterated one-pion exchange, and irreducible two-pion exchange with no, single,\nand double virtual $\\Delta$-isobar excitation. We find that the approximation\nto $1\\pi$-exchange and iterated $1\\pi$-exchange terms (which leads already to a\ngood nuclear matter equation of state by adjusting an emerging contact-term) is\nspin-isospin stable, since $J(k_{f0})\\simeq 24 {\\rm MeV}\u003e0$. The inclusion of\nthe chiral $\\pi N\\Delta$-dynamics, necessary in order to guarantee the\nspin-stability of nuclear matter, keeps this property intact. The corresponding\nspin-isospin asymmetry energy $J(k_f)$ stays positive even for extreme values\nof an undetermined short-distance parameter $J_5$ (whose possible range we\nestimate from realistic NN-potentials). The largest positive contribution to\n$J(k_f)$ (a term linear in density) comes from a two-body contact-term with its\nstrength fitted to the empirical nuclear matter saturation point.",
"arxiv_id": "nucl-th/0601102",
"authors": [
"N. Kaiser"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.72.014007",
"journal_ref": "Phys.Rev. C72 (2005) 014007",
"title": "Spin-isospin stability of nuclear matter",
"url": "https://arxiv.org/abs/nucl-th/0601102"
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