dorsal/arxiv
View SchemaDynamical Symmetries Reflected in Realistic Interactions
| Authors | K. D. Sviratcheva, J. P. Draayer, J. P. Vary |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0703067 |
| URL | https://arxiv.org/abs/nucl-th/0703067 |
| Journal | Proceedings of the XXV International Workshop on Nuclear Theory, DioMira, Sofia, Bulgaria (2006) 225-234 |
Abstract
Realistic nucleon-nucleon (NN) interactions, derived within the framework of meson theory or more recently in terms of chiral effective field theory, yield new possibilities for achieving a unified microscopic description of atomic nuclei. Based on spectral distribution methods, a comparison of these interactions to a most general Sp(4) dynamically symmetric interaction, which previously we found to reproduce well that part of the interaction that is responsible for shaping pairing-governed isobaric analog 0+ states, can determine the extent to which this significantly simpler model Hamiltonian can be used to obtain an approximate, yet very good description of low-lying nuclear structure. And furthermore, one can apply this model in situations that would otherwise be prohibitive because of the size of the model space. In addition, we introduce a Sp(4) symmetry breaking term by including the quadrupole-quadrupole interaction in the analysis and examining the capacity of this extended model interaction to imitate realistic interactions. This provides a further step towards gaining a better understanding of the underlying foundation of realistic interactions and their ability to reproduce striking features of nuclei such as strong pairing correlations or collective rotational motion.
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"abstract": "Realistic nucleon-nucleon (NN) interactions, derived within the framework of\nmeson theory or more recently in terms of chiral effective field theory, yield\nnew possibilities for achieving a unified microscopic description of atomic\nnuclei. Based on spectral distribution methods, a comparison of these\ninteractions to a most general Sp(4) dynamically symmetric interaction, which\npreviously we found to reproduce well that part of the interaction that is\nresponsible for shaping pairing-governed isobaric analog 0+ states, can\ndetermine the extent to which this significantly simpler model Hamiltonian can\nbe used to obtain an approximate, yet very good description of low-lying\nnuclear structure. And furthermore, one can apply this model in situations that\nwould otherwise be prohibitive because of the size of the model space. In\naddition, we introduce a Sp(4) symmetry breaking term by including the\nquadrupole-quadrupole interaction in the analysis and examining the capacity of\nthis extended model interaction to imitate realistic interactions. This\nprovides a further step towards gaining a better understanding of the\nunderlying foundation of realistic interactions and their ability to reproduce\nstriking features of nuclei such as strong pairing correlations or collective\nrotational motion.",
"arxiv_id": "nucl-th/0703067",
"authors": [
"K. D. Sviratcheva",
"J. P. Draayer",
"J. P. Vary"
],
"categories": [
"nucl-th"
],
"journal_ref": "Proceedings of the XXV International Workshop on Nuclear Theory,\n DioMira, Sofia, Bulgaria (2006) 225-234",
"title": "Dynamical Symmetries Reflected in Realistic Interactions",
"url": "https://arxiv.org/abs/nucl-th/0703067"
},
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