dorsal/arxiv
View SchemaPair counting, pion-exchange forces, and the structure of light nuclei
| Authors | R. B. Wiringa |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0601064 |
| URL | https://arxiv.org/abs/nucl-th/0601064 |
| DOI | 10.1103/PhysRevC.73.034317 |
| Journal | Phys.Rev.C73:034317,2006 |
Abstract
A simple but useful guide for understanding the structure of light nuclei is presented. It is based on counting the number of interacting pairs in different spin-isospin (S,T) states for a given spatial symmetry, and estimating the overall binding according to the sum of sigma_i.sigma_j tau_i.tau_j expectation values, as suggested by one-pion-exchange. Applied to s- and p-shell nuclei, this simple picture accounts for the relative stability of nuclei as A increases and as T changes across isobars, the saturation of nuclear binding in the p-shell, and the tendency to form d, t, or alpha subclusters there. With allowance for pairwise tensor and spin-orbit forces, which are also generated or boosted by pion-exchange, the model explains why mixing of different spatial symmetries in ground states increases as T increases across isobars, and why for states of the same spatial symmetry, the ones with greater S are lower in the spectrum. The ordering of some sd-shell intruder levels can also be understood. The success of this simple model supports the idea that one-pion-exchange is the dominant force controlling the structure of light nuclei.
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"abstract": "A simple but useful guide for understanding the structure of light nuclei is\npresented. It is based on counting the number of interacting pairs in different\nspin-isospin (S,T) states for a given spatial symmetry, and estimating the\noverall binding according to the sum of sigma_i.sigma_j tau_i.tau_j expectation\nvalues, as suggested by one-pion-exchange. Applied to s- and p-shell nuclei,\nthis simple picture accounts for the relative stability of nuclei as A\nincreases and as T changes across isobars, the saturation of nuclear binding in\nthe p-shell, and the tendency to form d, t, or alpha subclusters there. With\nallowance for pairwise tensor and spin-orbit forces, which are also generated\nor boosted by pion-exchange, the model explains why mixing of different spatial\nsymmetries in ground states increases as T increases across isobars, and why\nfor states of the same spatial symmetry, the ones with greater S are lower in\nthe spectrum. The ordering of some sd-shell intruder levels can also be\nunderstood. The success of this simple model supports the idea that\none-pion-exchange is the dominant force controlling the structure of light\nnuclei.",
"arxiv_id": "nucl-th/0601064",
"authors": [
"R. B. Wiringa"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.73.034317",
"journal_ref": "Phys.Rev.C73:034317,2006",
"title": "Pair counting, pion-exchange forces, and the structure of light nuclei",
"url": "https://arxiv.org/abs/nucl-th/0601064"
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