The Nuclear SU 3 Model

Harvey, M.

doi:10.1007/978-1-4757-0103-6_2

Cited by 134 publications

(107 citation statements)

References 85 publications

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“…These considerations motivate us to develop and investigate a novel model, the ab initio symmetry-adapted no-core shell model (SA-NCSM) [18], which, by taking advantage of symmetries inherent to the nuclear dy- * Corresponding author:dytrych@ujf.cas.cz namics [19][20][21][22], can provide access to heavier nuclei and larger model spaces essential to accommodate collective, deformed, and cluster substructures [22][23][24][25][26][27][28][29][30][31][32]. This is achieved by recognizing that the choice of a basis is crucial and that the SA-NCSM affords a solution that is a linear combination of a limited number of basis states of definite nuclear deformation.…”

Section: Introductionmentioning

confidence: 99%

Efficacy of the SU(3) scheme for ab initio large-scale calculations beyond the lightest nuclei

Dytrych

Maris

Launey

et al. 2016

Computer Physics Communications

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We report on the computational characteristics of ab initio nuclear structure calculations in a symmetry-adapted no-core shell model (SA-NCSM) framework. We examine the computational complexity of the current implementation of the SA-NCSM approach, dubbed LSU3shell, by analyzing ab initio results for 6 Li and 12 C in large harmonic oscillator model spaces and SU(3)-selected subspaces. We demonstrate LSU3shell's strong-scaling properties achieved with highly-parallel methods for computing the many-body matrix elements. Results compare favorably with complete model space calculations and significant memory savings are achieved in physically important applications. In particular, a well-chosen symmetry-adapted basis affords memory savings in calculations of states with a fixed total angular momentum in large model spaces while exactly preserving translational invariance.

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Section: Introductionmentioning

confidence: 99%

Efficacy of the SU(3) scheme for ab initio large-scale calculations beyond the lightest nuclei

Dytrych

Maris

Launey

et al. 2016

Computer Physics Communications

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“…The SACM makes heavy use of the SU(3) algebra, which appears in the description of both the relative motion and that of the internal cluster structure, where it accounts for the orbital sector in terms of Elliott's SU(3) model [5,6]. The SU(3) algebra is the symmetry algebra of the three-dimensional harmonic oscillator and it is also used in the construction of the harmonic oscillator (or SU(3)) shell model.…”

Section: Introductionmentioning

confidence: 99%

Semimicroscopic algebraic description ofαclustering in22Ne

Lévai

2013

Phys. Rev. C

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The alpha-cluster states of 22 Ne are studied within the framework of the semimicroscopic algebraic cluster model (SACM). The band structure, energy spectrum as well as E2 and E1 transitions are calculated and are compared with the experimental data. The results are also compared with those obtained from two microscopic models: the deformed-basis antisymmetrized molecular dynamics (DAMD) approach and the generator-coordinate method (GCM). It is found that the prominent bands obtained in the latter frameworks all have equivalents in the SACM and the agreement between the calculated spectroscopic properties is rather good, especially for positive-parity states.

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“…In the pseudo-SU(4) model we further assume that the pseudo-orbits have the SU(3) symmetry [5]. Note that hereafter the symmetries pseudo-SU(4) and pseudo-SU(3) are denoted as SU(4) and SU(3), respectively.…”

Section: The Spectramentioning

confidence: 99%

“…2 are needed, which are a 3 and a 5 . From fi tting the fi ve levels the two parameters can be determined as : a 3 = 0.114 and a 5 = 0.200 (all the parameters a i are in MeV).…”

Section: The Spectramentioning

confidence: 99%

“…But the symmetry is broken by the l-s coupling and the breaking increases with the nucleon number. It has been established that the SU(4) symmetry works well in the p-shell [4,5], but for the ds-shell the SU(4) symmetry is good only for nuclei with N ∼ = Z [6,7]. For nuclei beyond ds-shell the SU(4) symmetry is heavily broken due to large l-s coupling.…”

Section: Introductionmentioning

confidence: 99%

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