Symplectic no-core shell-model approach to intermediate-mass nuclei

Tobin, G. K.; Ferriss, M. C.; Launey, Kristina D.; Dytrych, Tomáš; Draayer, J. P.; Dreyfuss, A C; Bahri, C.

doi:10.1103/physrevc.89.034312

Cited by 59 publications

(76 citation statements)

References 47 publications

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“…Once the γ parameter is fixed by the order of the three low-lying 0 + states in 12 C, excitation energies and other observables such as matter rms radii, electric quadrupole moments and E2 transition rates for various p-and sd-shell nuclei are found, with no parameter adjustment, to be in a remarkable agreement with the experiment [105,106,108] (see also Fig. 5 and Table 2).…”

Section: No-core Symplectic Shell Model (Ncspm) and The Elusive Hoylesupporting

confidence: 71%

“…Both mean-field and many-particle estimates demonstrate that in the helicity-transformed representation, the nucleons move in a finite-depth nonlocal potential with a reduced spin-orbit strength. Furthermore, the approximate independence of the single-nucleon spectrum in an infinite medium on the helicity transformation and the consistency of the microscopic estimates for the single-particle nuclear potentials with the Dirac-Brueckner calculations, allow one to connect the pseudo-spin symmetry to the one boson-exchange (OBEP) nature of the [106,108]. Multiplicities to distinguish repeated N (λ ω µ ω ) labels are not shown.…”

Section: Pseudo-spin Symmetry For Heavy Nucleimentioning

confidence: 99%

“…Using the Sp(3, R) scheme, the no-core symplectic shell model (NCSpM) [105] offers N max = 12 − 24 shell-model descriptions of low-lying states in deformed sd-shell nuclei ( 20 O, 20,22 Ne, and 20,22,24 Mg) [106] and of phenomena tied to giant monopole and quadrupole resonances [107], as well as to collectivity and alpha-clustering in 12 Be [108] and 12 C, and in particular, the challenging Hoyle state and its first 2 + and 4 + excitations [105,109]. While such ultra-large model spaces remain inaccessible by ab initio shell models, the NCSpM addresses a long-standing challenge [110][111][112], namely, understanding highly-deformed spatial configurations from a shell-model perspective.…”

Section: No-core Symplectic Shell Model (Ncspm) and The Elusive Hoylementioning

confidence: 99%

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Symmetry-guided large-scale shell-model theory

Launey

Dytrych

Draayer

2016

Progress in Particle and Nuclear Physics

127

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: No-core Symplectic Shell Model (Ncspm) and The Elusive Hoylesupporting

confidence: 71%

Section: Pseudo-spin Symmetry For Heavy Nucleimentioning

confidence: 99%

Section: No-core Symplectic Shell Model (Ncspm) and The Elusive Hoylementioning

confidence: 99%

See 1 more Smart Citation

Symmetry-guided large-scale shell-model theory

Launey

Dytrych

Draayer

2016

Progress in Particle and Nuclear Physics

127

173

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“…At the end of this section, let us also mention that for light doubly open shell nuclei as, e.g., 20 Ne, there is also recent progress using the symplectic NCSM and ab-initio shell model approaches, see [45,143,144].…”

Section: Parity Doublet Rotational Bands Inmentioning

confidence: 99%

“…And the intensity of this type of studies does not seem to slow down. For example very recently ab initio studies for cluster states appeared both using the nuclear effective-fieldtheory (EFT) approaches [41,42,43,44] and the symplectic no-core shell model (NCSM) [45,46,47] as we will discuss later in the main text.…”

Section: Introductionmentioning

confidence: 99%

Alpha particle clusters and their condensation in nuclear systems

et al. 2016

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In this article we review the present status of α clustering in nuclear systems. An important aspect is first of all condensation in nuclear matter. Like for pairing, quartetting in matter is at the root of similar phenomena in finite nuclei. Cluster approaches for finite nuclei are shortly recapitulated in historical order. The α container model as recently been proposed by Tohsaki-Horiuchi-Schuck-Röpke (THSR) will be outlined and the ensuing condensate aspect of the Hoyle state at 7.65 MeV in 12 C investigated in some detail. A special case will be made with respect to the very accurate reproduction of the inelastic form factor from the ground to Hoyle state with the THSR description. The extended volume will be deduced. New developments concerning excitations of the Hoyle state will be discussed. After 15 years since the proposal of the α condensation concept a critical assessment of this idea will be given. Alpha gas states in other nuclei like 16 O and 13 C will be considered. An important aspect are experimental evidences, present and future ones.The THSR wave function can also describe configurations of one α particle on top of a doubly magic core. The cases of 20 Ne and 212 Po will be investigated.

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No-Core Gamow Shell Model

Michel

Płoszajczak

2021

Gamow Shell Model

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Symplectic no-core shell-model approach to intermediate-mass nuclei

Cited by 59 publications

References 47 publications

Symmetry-guided large-scale shell-model theory

Symmetry-guided large-scale shell-model theory

Alpha particle clusters and their condensation in nuclear systems

No-Core Gamow Shell Model

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