Emergent<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Sp</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>Dynamical Symmetry in the Nuclear Many-Body System from an<i>Ab Initio</i>Description

McCoy, Anna E.; Caprio, M. A.; Dytrych, Tomáš; Fasano, Patrick J.

doi:10.1103/physrevlett.125.102505

Cited by 35 publications

(33 citation statements)

References 76 publications

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“…Two shapes are found, for instance, in 8 He (generally considered to be spherical) and 12 C [24; see also results in 6 and 95 based on SU(3) analysis]. Furthermore, the ground state of 6 Li and 20 Ne ( 16 O) has a dominant prolate (spherical) shape, while an oblate shape dominates in the cases of 8 He and 12 C. The symplectic symmetry holds even in excited states (88) and for 7 Be (96).…”

Section: Unveiling Dominant Features and Symmetries: Equilibrium Shapes Vibrations And Rotationsmentioning

confidence: 98%

Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework

Launey

Mercenne

Dytrych

2021

Annu. Rev. Nucl. Part. Sci.

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We review the ab initio symmetry-adapted (SA) framework for determining the structure of stable and unstable nuclei, along with related electroweak, decay, and reaction processes. This framework utilizes the dominant symmetry of nuclear dynamics, the shape-related symplectic SP(3,ℝ) symmetry, which has been shown to emerge from first principles and to expose dominant degrees of freedom that are collective in nature, even in the lightest species or seemingly spherical states. This feature is illustrated for a broad scope of nuclei ranging from helium to titanium isotopes, enabled by recent developments of the ab initio SA no-core shell model expanded to the continuum through the use of the SA basis and that of the resonating group method. The review focuses on energies, electromagnetic transitions, quadrupole and magnetic moments, radii, form factors, and response function moments for ground-state rotational bands and giant resonances. The method also determines the structure of reaction fragments that is used to calculate decay widths and α-capture reactions for simulated X-ray burst abundance patterns, as well as nucleon–nucleus interactions for cross sections and other reaction observables. Expected final online publication date for the Annual Review of Nuclear and Particle Science, Volume 71 is September 2021. Please see http://www.annualreviews.org/page/journal/pubdates for revised estimates.

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Section: Unveiling Dominant Features and Symmetries: Equilibrium Shapes Vibrations And Rotationsmentioning

confidence: 98%

Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework

Launey

Mercenne

Dytrych

2021

Annu. Rev. Nucl. Part. Sci.

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“…However, to get from the ab initio formulation of the nuclear problem to concrete ab initio predictions for nuclear observables, we must overcome the formidable practical challenge of obtaining accurate numerical solutions to the many-body Schrödinger equation for the A-body system of interacting nucleons. While several approaches have been developed for solving the ab initio nuclear many-body problem, including quantum Monte Carlo (QMC) methods [13,21] and the nocore shell model (NCSM) [12,22,23] and its extensions [24][25][26][27][28], each method is constrained by available computational resources. Only truncated calculations of finite numerical accuracy can be carried out.…”

Section: Introductionmentioning

confidence: 99%

First measurement of the B(E2;3/2−→1/2− ) transition strength in
Henderson
¹
,
Ahn
²
,
Caprio
³

et al. 2019
Phys. Rev. C

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Electromagnetic observables are able to give insight into collective and emergent features in nuclei, including nuclear clustering. These observables also provide strong constraints for ab initio theory, but comparison of these observables between theory and experiment can be difficult due to the lack of convergence for relevant calculated values, such as E2 transition strengths. By comparing the ratios of E2 transition strengths for mirror transitions, we find that a wide range of ab initio calculations give robust and consistent predictions for this ratio. In order to experimentally test the validity of these ab initio predictions, we performed a Coulomb excitation experiment to measure the B(E2; 3/2 − → 1/2 − ) transition strength in 7 Be for the first time. A B(E2; 3/2 − → 1/2 − ) value of 26( 6) stat ( 3) syst e 2 fm 4 was deduced from the measured Coulomb excitation cross section. This result is used with the experimentally known 7 Li B(E2; 3/2 − → 1/2 − ) value to provide an experimental ratio to compare with the ab initio predictions. Our experimental value is consistent with the theoretical ratios within 1σ uncertainty, giving experimental support for the value of these ratios. Further work in both theory and experiment can give insight into the robustness of these ratios and their physical meaning.

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“…PDSs do not arise from invariance properties of the Hamiltonian, hence can be referred to as emergent symmetries. The role of an emergent Sp(3,R) DS has been recently demonstrated within ab-initio calculations of light nuclei [18,19].…”

Section: -0157 C 2022 Union Of the Physicists In Bulgaria (Upb)mentioning

confidence: 90%

Linking Partial Dynamical Symmetry to Nuclear Energy Density Functional

Leviatan¹

2022

Bulg.J.Phys.

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EmergentSp(3,R)Dynamical Symmetry in the Nuclear Many-Body System from anAb InitioDescription

Cited by 35 publications

References 76 publications

Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework

Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework

First measurement of the B(E2;3/2−→1/2− ) transition strength in
Henderson
¹
,
Ahn
²
,
Caprio
³

et al. 2019
Phys. Rev. C

Linking Partial Dynamical Symmetry to Nuclear Energy Density Functional

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EmergentSp(3,R)Dynamical Symmetry in the Nuclear Many-Body System from anAb InitioDescription

Cited by 35 publications

References 76 publications

Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework

Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework

First measurement of the B(E2;3/2−→1/2− ) transition strength in Henderson1, Ahn2, Caprio3 et al. 2019Phys. Rev. C

Linking Partial Dynamical Symmetry to Nuclear Energy Density Functional

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Product

Resources

About

First measurement of the B(E2;3/2−→1/2− ) transition strength in
Henderson
¹
,
Ahn
²
,
Caprio
³

et al. 2019
Phys. Rev. C