Dynamical Symmetries Reflected in Realistic Interactions

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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{sup +} 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. ... continued below

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10 pages

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Sviratcheva, K. D.; Draayer, J. P. & Vary, J. P. April 6, 2007.

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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{sup +} 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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10 pages

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  • To appear in the proceedings of 25th International Workshop on Nuclear Theory, Rila, Bulgaria, 26 Jun - 1 Jul 2006

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  • Report No.: SLAC-PUB-12444
  • Grant Number: AC02-76SF00515
  • Office of Scientific & Technical Information Report Number: 901828
  • Archival Resource Key: ark:/67531/metadc885850

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Office of Scientific & Technical Information Technical Reports

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  • April 6, 2007

Added to The UNT Digital Library

  • Sept. 22, 2016, 2:13 a.m.

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  • July 26, 2017, 12:09 p.m.

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Sviratcheva, K. D.; Draayer, J. P. & Vary, J. P. Dynamical Symmetries Reflected in Realistic Interactions, article, April 6, 2007; [Menlo Park, California]. (digital.library.unt.edu/ark:/67531/metadc885850/: accessed October 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.