Symmetry-adapted no-core shell model applications for light nuclei with QCD-inspired interactions

Draayer, J. P.; Dytrych, Tomáš; Launey, Kristina D.; Langr, Daniel

doi:10.1016/j.ppnp.2012.01.020

Cited by 28 publications

(23 citation statements)

References 20 publications

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“…The ab initio symmetry-adapted NCSM (SA-NCSM) results show that the multi-ω configuration mixing are important for the description of the collective modes in light nuclei, such as 6 Li, 6 He, and 8 Be [23,24]. The no-core symplectic shell model (NCSpM) are used to investigate the multi-ω configuration mixing in α-clustering substructures in the low-lying states of 12 C [25] and in ground state rotational bands of 20,22,24 Ne, 20 O, 20,22 Mg and 24 Si [26]. The effective Hamiltonian YSOX for psd region includes the effect of the off-diagonal cross-shell interaction based on the binding energies of B, C, N, and O isotopes from the stability line to the neutron drip line [27].…”

Section: Introductionmentioning

confidence: 99%

Impact of off-diagonal cross-shell interaction on ¹⁴ C

Yuan¹

2017

Chinese Phys. C

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The shell-model investigation is performed to show the impact on the structure of 14 C contributed by the off-diagonal cross-shell interaction, pp |V| sdsd , which represents the mixing between the 0 and 2 ω configurations in the psd model space. Observed levels of the positive states in 14 C can be nicely described in 0−4 ω or a larger model space through the well defined Hamiltonians, YSOX and WBP, with a reduction on the strength of the pp |V| sdsd interaction in the latter. The observed B(GT) values for 14 C can be generally described by YSOX, while WBP and their modifications on the pp |V| sdsd interaction fail for some values. Further investigation shows the effect of such interaction on the configuration mixing and occupancy. The present work shows examples on how the off-diagonal cross-shell interaction strongly drives the nuclear structure.

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Section: Introductionmentioning

confidence: 99%

Impact of off-diagonal cross-shell interaction on ¹⁴ C

Yuan¹

2017

Chinese Phys. C

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“…[26,27]. The SA-NCSM adopts the first-principle concept and is a no-core shell model (NCSM) carried forward in an SU(3)-coupled scheme [3].…”

Section: Symmetry-guided Framework and Electron Scattering Form Fmentioning

confidence: 99%

Electron-scattering form factors forLi6in theab initiosymmetry-guided framework

et al. 2015

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We present an ab initio symmetry-adapted no-core shell-model description for 6 Li. We study the structure of the ground state of 6 Li and the impact of the symmetry-guided space selection on the charge density components for this state in momentum space, including the effect of higher shells. We accomplish this by investigating the electron scattering charge form factor for momentum transfers up to q ∼ 4 fm −1 . We 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 transfer. These new results confirm the previous outcomes for selected spectroscopy observables in light nuclei, such as binding energies, excitation energies, electromagnetic moments, E2 and M 1 reduced transition probabilities, as well as point-nucleon matter rms radii.

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“…The basis lends some simplicity but also requires large numbers of basis states to properly describe highly deformed configurations. Draayer and his colleagues [14] are beginning to pursue the marriage of symmetry-adapted single-particle states and nucleon-nucleon interactions in light nuclei. This nascent approach shows promise to add to our computational tool box for solutions of the nuclear many-body problem.…”

Section: Progress In the Theory Of Nucleimentioning

confidence: 99%

Nuclear physics in the coming decade

Dean

2012

J. Phys.: Conf. Ser.

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Abstract. The summary talk for this conference is actually a brief status report on the physics of nuclei and what advances we may anticipate during the next decade. We are making progress on multiple fronts to tackle the nuclear quantum many-body problem. Due to the continuing expansion and use of computational science in our field, and due to the new experimental facilities that will soon be available, progress will continue. IntroductionIn summarizing this conference in honor of Jerry Draayer's 70 th birthday, I tried to perform an extrapolation of the next 10 years (when we celebrate HITES2022) of the physics of nuclei based on where we are today. This kind of discussion is, of course, difficult, as we all know that extrapolation is far more uncertain than interpolation. We heard many excellent presentations at this conference, and one surmises from them that the field is making substantial progress in developing a theoretical understanding of nuclei. I will attempt to briefly indicate some of the progress that is being made and some of the developments that will occur during the next few years.One goal of our field is to understand nuclei. To that end we develop a comprehensive theory of nuclei; we experimentally determine rare isotope properties and use these as benchmarks to validate our theories and approximations; and we use this validated theory to make predictions where experimental data are not available (e.g., for nucleosynthesis). We have witnessed in the last decade an increasingly sophisticated approach to the nuclear many-body problem. During the next decade, the field will continue to develop effective field theory approaches, computationally scalable many-body techniques, and increasingly accurate energy density functionals for nuclear density functional theory approaches.During the next decade we should see the completion of second-generation rare isotope experimental facilities such as GSI/FAIR, SPIRAL-II, and HIE-ISOLDE in Europe, FRIB in the US, and an upgraded TRIUMF in Canada, and the continuation of the experimental program at RIBF in Japan and other facilities. Experiments will probe many aspects of neutron-rich nuclei. Furthermore, they should enable a substantial experimental description of nuclear properties along the r-process -the process that creates half of the heavy elements from iron to uranium and is believed to occur during supernova explosions or neutron star mergers.In developing a comprehensive theory for nuclei, we have increasingly relied on highperformance computing. With calculations performed on these machines, we should be able to constrain theoretical parameters and we should be able to quantify uncertainties of the calculations. Uncertainty quantification, admittedly a buzz word today, is a way of performing numerical analysis to determine the accuracy of a given calculation.

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Symmetry-adapted no-core shell model applications for light nuclei with QCD-inspired interactions

Cited by 28 publications

References 20 publications

Impact of off-diagonal cross-shell interaction on ¹⁴ C

Impact of off-diagonal cross-shell interaction on ¹⁴ C

Electron-scattering form factors forLi6in theab initiosymmetry-guided framework

Nuclear physics in the coming decade

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Symmetry-adapted no-core shell model applications for light nuclei with QCD-inspired interactions

Cited by 28 publications

References 20 publications

Impact of off-diagonal cross-shell interaction on 14 C

Impact of off-diagonal cross-shell interaction on 14 C

Electron-scattering form factors forLi6in theab initiosymmetry-guided framework

Nuclear physics in the coming decade

Contact Info

Product

Resources

About

Impact of off-diagonal cross-shell interaction on ¹⁴ C

Impact of off-diagonal cross-shell interaction on ¹⁴ C