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Title: Dynamical Symmetries Reflected in Realistic Interactions

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{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.

Authors:
; ; ; ;
Publication Date:
Research Org.:
Stanford Linear Accelerator Center (SLAC)
Sponsoring Org.:
USDOE
OSTI Identifier:
901828
Report Number(s):
SLAC-PUB-12444
nucl-th/0703067; TRN: US200717%%76
DOE Contract Number:
AC02-76SF00515
Resource Type:
Conference
Resource Relation:
Conference: To appear in the proceedings of 25th International Workshop on Nuclear Theory, Rila, Bulgaria, 26 Jun - 1 Jul 2006
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CAPACITY; DISTRIBUTION; HAMILTONIANS; ISOBARIC ANALOGS; MESONS; NUCLEAR STRUCTURE; NUCLEAR THEORY; NUCLEI; SYMMETRY BREAKING; Theory-Nucl,HEPPH

Citation Formats

Sviratcheva, K.D., Draayer, J.P., /Louisiana State U., Vary, J.P., and /Iowa State U. /LLNL, Livermore /SLAC. Dynamical Symmetries Reflected in Realistic Interactions. United States: N. p., 2007. Web.
Sviratcheva, K.D., Draayer, J.P., /Louisiana State U., Vary, J.P., & /Iowa State U. /LLNL, Livermore /SLAC. Dynamical Symmetries Reflected in Realistic Interactions. United States.
Sviratcheva, K.D., Draayer, J.P., /Louisiana State U., Vary, J.P., and /Iowa State U. /LLNL, Livermore /SLAC. Fri . "Dynamical Symmetries Reflected in Realistic Interactions". United States. doi:. https://www.osti.gov/servlets/purl/901828.
@article{osti_901828,
title = {Dynamical Symmetries Reflected in Realistic Interactions},
author = {Sviratcheva, K.D. and Draayer, J.P. and /Louisiana State U. and Vary, J.P. and /Iowa State U. /LLNL, Livermore /SLAC},
abstractNote = {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.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Fri Apr 06 00:00:00 EDT 2007},
month = {Fri Apr 06 00:00:00 EDT 2007}
}

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