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Title: Light Nuclei in the Framework of the Symplectic No-Core Shell Model

Abstract

A symplectic no-core shell model (Sp-NCSM) is constructed with the goal of extending the ab-initio NCSM to include strongly deformed higher-oscillator-shell configurations and to reach heavier nuclei that cannot be studied currently because the spaces encountered are too large to handle, even with the best of modern-day computers. This goal is achieved by integrating two powerful concepts: the ab-initio NCSM with that of the Sp(3,R) {contains} SU(3) group-theoretical approach. The NCSM uses modern realistic nuclear interactions in model spaces that consists of many-body configurations up to a given number of {h_bar}{Upsilon} excitations together with modern high-performance parallel computing techniques. The symplectic theory extends this picture by recognizing that when deformed configurations dominate, which they often do, the model space can be better selected so less relevant low-lying {h_bar}{Upsilon} configurations yield to more relevant high-lying {h_bar}{Upsilon} configurations, ones that respect a near symplectic symmetry found in the Hamiltonian. Results from an application of the Sp-NCSM to light nuclei are compared with those for the NCSM and with experiment.

Authors:
; ; ; ; ; ;
Publication Date:
Research Org.:
Stanford Linear Accelerator Center (SLAC)
Sponsoring Org.:
USDOE
OSTI Identifier:
901844
Report Number(s):
SLAC-PUB-12432
nucl-th/0703058; TRN: US0702683
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; COMPUTERS; LIGHT NUCLEI; NUCLEAR THEORY; NUCLEI; SHELL MODELS; SYMMETRY; Theory-Nucl,HEPPH

Citation Formats

Draayer, Jerry P., Dytrych, Tomas, Sviratcheva, Kristina D., Bahri, Chairul, /Louisiana State U., Vary, James P., and /Iowa State U. /LLNL, Livermore /SLAC. Light Nuclei in the Framework of the Symplectic No-Core Shell Model. United States: N. p., 2007. Web.
Draayer, Jerry P., Dytrych, Tomas, Sviratcheva, Kristina D., Bahri, Chairul, /Louisiana State U., Vary, James P., & /Iowa State U. /LLNL, Livermore /SLAC. Light Nuclei in the Framework of the Symplectic No-Core Shell Model. United States.
Draayer, Jerry P., Dytrych, Tomas, Sviratcheva, Kristina D., Bahri, Chairul, /Louisiana State U., Vary, James P., and /Iowa State U. /LLNL, Livermore /SLAC. Mon . "Light Nuclei in the Framework of the Symplectic No-Core Shell Model". United States. doi:. https://www.osti.gov/servlets/purl/901844.
@article{osti_901844,
title = {Light Nuclei in the Framework of the Symplectic No-Core Shell Model},
author = {Draayer, Jerry P. and Dytrych, Tomas and Sviratcheva, Kristina D. and Bahri, Chairul and /Louisiana State U. and Vary, James P. and /Iowa State U. /LLNL, Livermore /SLAC},
abstractNote = {A symplectic no-core shell model (Sp-NCSM) is constructed with the goal of extending the ab-initio NCSM to include strongly deformed higher-oscillator-shell configurations and to reach heavier nuclei that cannot be studied currently because the spaces encountered are too large to handle, even with the best of modern-day computers. This goal is achieved by integrating two powerful concepts: the ab-initio NCSM with that of the Sp(3,R) {contains} SU(3) group-theoretical approach. The NCSM uses modern realistic nuclear interactions in model spaces that consists of many-body configurations up to a given number of {h_bar}{Upsilon} excitations together with modern high-performance parallel computing techniques. The symplectic theory extends this picture by recognizing that when deformed configurations dominate, which they often do, the model space can be better selected so less relevant low-lying {h_bar}{Upsilon} configurations yield to more relevant high-lying {h_bar}{Upsilon} configurations, ones that respect a near symplectic symmetry found in the Hamiltonian. Results from an application of the Sp-NCSM to light nuclei are compared with those for the NCSM and with experiment.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Apr 02 00:00:00 EDT 2007},
month = {Mon Apr 02 00:00:00 EDT 2007}
}

Conference:
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  • Clear evidence for symplectic symmetry in low-lying states of {sup 12}C and {sup 16}O is reported. Eigenstates of {sup 12}C and {sup 16}O, determined within the framework of the no-core shell model using the JISP16 NN realistic interaction, typically project at the 85-90% level onto a few of the most deformed symplectic basis states that span only a small fraction of the full model space. The results are nearly independent of whether the bare or renormalized effective interactions are used in the analysis. The outcome confirms Elliott's SU(3) model which underpins the symplectic scheme, and above all, points to themore » relevance of a symplectic no-core shell model that can reproduce experimental B(E2) values without effective charges as well as deformed spatial modes associated with clustering phenomena in nuclei.« less
  • Clear evidence for symplectic symmetry in low-lying states of {sup 12}C and {sup 16}O is reported. Eigenstates of {sup 12}C and {sup 16}O, determined within the framework of the no-core shell model using the J-matrix inverse scattering potential with A{<=}16 (JISP16) nucleon-nucleon (NN) realistic interaction, typically project at the 85%-90% level onto a few of the most deformed symplectic basis states that span only a small fraction of the full model space. The results are nearly independent of whether the bare or renormalized effective interactions are used in the analysis. The outcome confirms Elliott's SU(3) model which underpins the symplecticmore » scheme, and above all, points to the relevance of a symplectic no-core shell model that can reproduce experimental B(E2) values without effective charges as well as deformed spatial modes associated with clustering phenomena in nuclei.« less
  • No-core shell model (NCSM) calculations using ab initio effective interactions are very successful in reproducing experimental nuclear spectra. The main theoretical approach is the use of effective operators, which include correlations left out by the truncation of the model space to a numerically tractable size. We review recent applications of the effective operator approach, within a NCSM framework, to the renormalization of the nucleon-nucleon interaction, as well as scalar and tensor operators.