Electron-scattering form factors for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi mathvariant="normal">Li</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>in the<i>ab initio</i>symmetry-guided framework

Dytrych, Tomáš; Hayes, A. C.; Launey, Kristina D.; Draayer, J. P.; Maris, Pieter; Vary, James P.; Langr, Daniel; Oberhuber, Tomáš

doi:10.1103/physrevc.91.024326

Cited by 28 publications

(32 citation statements)

References 42 publications

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“…This remains valid for various Ω values, as well as when different bare interactions are employed. Deviations in the form factor (and in the one-body densities) as a result of the SU(3)-based selection of model spaces are found to be only marginal and to decrease for higher Ω [87].…”

Section: Electron Scattering For Light Nucleimentioning

confidence: 99%

“…3 of Ref. [87]). We note that the N max = 12 results continue to deviate from the experimental data for intermediate momenta, especially for q 2 fm −1 , where two-body currents become significant for C0 as shown by the Variational Monte Carlo (VMC) [6] with the AV18 [1] two-nucleon and Urbana IX [266] three-nucleon interactions.…”

Section: Electron Scattering For Light Nucleimentioning

confidence: 99%

“…In the SA-NCSM, the impact of the symmetry-guided space selection on the charge density components for the ground state of 6 Li in momentum space is studied, including the effect of higher shells [87], by investigating the electron scattering charge form factor for momentum transfers up to q ∼ 4 fm −1 . The results demonstrate that this symmetry-adapted framework can achieve significantly reduced dimensions for equivalent large shell-model spaces while retaining the accuracy of the form factor for any momentum …”

Section: Electron Scattering For Light Nucleimentioning

confidence: 99%

“…It adopts the first-principle concept and is a no-core shell model (NCSM) carried forward in an SU(3) scheme. The many-nucleon basis states of the SA-NCSM are constructed using efficient group-theoretical algorithms based on SU(3)×SU(2) S configurations (irreps) labeled by (λ µ) quantum numbers and the intrinsic spin S [20,87].…”

Section: Elliott Modelmentioning

confidence: 99%

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Symmetry-guided large-scale shell-model theory

Launey

Dytrych

Draayer

2016

Progress in Particle and Nuclear Physics

131

173

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In this review, we present a symmetry-guided strategy that utilizes exact as well as partial symmetries for enabling a deeper understanding of and advancing ab initio studies for determining the microscopic structure of atomic nuclei. These symmetries expose physically relevant degrees of freedom that, for large-scale calculations with QCD-inspired interactions, allow the model space size to be reduced through a very structured selection of the basis states to physically relevant subspaces. This can guide explorations of simple patterns in nuclei and how they emerge from first principles, as well as extensions of the theory beyond current limitations toward heavier nuclei and larger model spaces. This is illustrated for the ab initio symmetry-adapted no-core shell model (SA-NCSM) and two significant underlying symmetries, the symplectic Sp(3, R) group and its deformation-related SU(3) subgroup. We review the broad scope of nuclei, where these symmetries have been found to play a key role -from the light p-shell systems, such as 6 Li, 8 B, 8 Be, 12 C, and 16 O, and sd-shell nuclei exemplified by 20 Ne, based on first-principle explorations; through the Hoyle state in 12 C and enhanced collectivity in intermediate-mass nuclei, within a no-core shell-model perspective; up to strongly deformed species of the rare-earth and actinide regions, as investigated in earlier studies. A complementary picture, driven by symmetries dual to Sp(3, R), is also discussed. We briefly review symmetry-guided techniques that prove useful in various nuclear-theory models, such as Elliott model, ab initio SA-NCSM, symplectic model, pseudo-SU(3) and pseudo-symplectic models, ab initio hyperspherical harmonics method, ab initio lattice effective field theory, exact pairing -plusshell model approaches, and cluster models, including the resonating-group method. Important implications of these approaches that have deepened our understanding of emergent phenomena in nuclei, such as enhanced collectivity, giant resonances, pairing, halo, and clustering, are discussed, with a focus on emergent patterns in the framework of the ab initio SA-NCSM with no a priori assumptions.

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Section: Electron Scattering For Light Nucleimentioning

confidence: 99%

Section: Electron Scattering For Light Nucleimentioning

confidence: 99%

Section: Electron Scattering For Light Nucleimentioning

confidence: 99%

Section: Elliott Modelmentioning

confidence: 99%

See 2 more Smart Citations

Symmetry-guided large-scale shell-model theory

Launey

Dytrych

Draayer

2016

Progress in Particle and Nuclear Physics

131

173

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“…The concept underpinning the SA-NCSM has been demonstrated in our recent ab initio studies of properties of 6 Li, 6 He, and 8 Be [18,33]. The potential gains from the SA-NCSM have also been demonstrated in our earlier study where we found that ab initio wavefunctions of 12 C and 16 O calculated by the no-core shell model (NCSM) [4] project well onto a symmetry-adapted subspace that is only a tiny fraction of the corresponding complete model space [34][35][36].…”

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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No-Core Gamow Shell Model

Michel

Płoszajczak

2021

Gamow Shell Model

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Electron-scattering form factors forLi6in theab initiosymmetry-guided framework

Cited by 28 publications

References 42 publications

Symmetry-guided large-scale shell-model theory

Symmetry-guided large-scale shell-model theory

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

No-Core Gamow Shell Model

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