Dynamical Symmetries Reflected in Realistic Interactions
Abstract
Realistic nucleonnucleon (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 pairinggoverned 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 lowlying 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 quadrupolequadrupole 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):
 SLACPUB12444
nuclth/0703067; TRN: US200717%%76
 DOE Contract Number:
 AC0276SF00515
 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; TheoryNucl,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 nucleonnucleon (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 pairinggoverned 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 lowlying 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 quadrupolequadrupole 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}
}

The present study brings forward important information, within the framework of spectral distribution theory, about the types of forces that dominate three realistic interactions, CDBonn, CDBonn+3terms, and GXPF1, in nuclei and their ability to account for manyparticle effects such as the formation of correlated nucleon pairs and enhanced quadrupole collective modes. Likeparticle and protonneutron isovector pairing correlations are described microscopically by a model interaction with sp(4) dynamical symmetry, which is extended to include an additional quadrupolequadrupole interaction. The analysis of the results for the 1f{sub 7/2} level shows that both CDBonn+3terms and GXPF1 exhibit a welldeveloped pairing character compared tomore »

New coupling limits, dynamical symmetries and microscopic operators of IBM/TQM
A new particlecore basis having approximate supersymmetric (SUSY) features associated with SU(3) dynamical symmetry is introduced. The SUSY and COSUSY limits of IBFM/PTQM appear for the characteristic intermediate coupling strengths GAMMA/delta = + (GAMMA/delta)/sub SUSY/. The COSUSY limit is a truncated analog of the Stephens rotationaligned scheme. A paradox was found in the relation of the SUSY and truncated strong coupling (TSC) limits to the strong coupling limit of the BohrMottelson model. 
Lie and Lieadmissible symmetries of dynamical systems
In this paper we recall Lie's method for the construction of the generators of Lie symmetry groups from given secondorder equations of motion, and provide an illustrative example. The method is then adapted to the equations of motion in their equivalent firstorder (vector field) form, and an example is discussed in terms of Hamilton's equations. The firstorder version of Lie's method is then studied for the construction of Lieadmissible symmetry groups, that is, connected Lie groups realized in such a way to admit a nonLie, but Lieadmissible lgebra in the neighborhood of the identity, as a nonconservative extension of themore » 
Fermion dynamical symmetries and their implications
A status report about the Fermion Dynamical Symmetry Model is presented in this important symposium celebrating the 10th anniversary of the Joint Institute for HeavyIon Research in Oak Ridge National Laboratory. The author discusses several important issues raised by the model regarding nuclear structure physics. In particular, questions on the meaning of nondemocrary of the valence nucleons, about the FDSM`s relation with meanfield theories and a brief introduction on how nuclear masses can be computed within the model and its astrophysical implications are discussed.