The fundamental role of symmetry in nuclear models

Rowe, D.J.

doi:10.1063/1.4810815

Cited by 17 publications

(14 citation statements)

References 44 publications

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“…Recall that the strength of the coupling was chosen to reproduce experimental E2 transition rates. The enhancement of ∼ 1.8 required to match experiment for the chosen representation is slightly smaller than, but comparable to, the factor of ∼ 2 expected on the basis of mean-field self-consistency considerations [68,146]; cf. the results of Ref.…”

Section: B Comparison Of Symplectic and Crv Model Resultsmentioning

confidence: 57%

“…For example, self-consistent vibrating-potential methods [144] have indicated that the parameters should be adjusted to give the one-phonon giant-monopole and giant-quadrupole resonance states at energies of order ω 0 = 2 ω and ω 2 = √ 2 ω, respectively, where ω is the frequency of the harmonic-oscillator shell-potential. Mean-field considerations also imply that κ 1 should be such as to give an effective charge for lowlying states that is twice the natural charge, i.e., the value that would be appropriate if these states were described in an un-renormalized SU(3) model [68,145,146].…”

Section: A the Coupled Rotor-vibrator Modelmentioning

confidence: 99%

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The many-nucleon theory of nuclear collective structure and its macroscopic limits: an algebraic perspective

2016

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The nuclear collective models introduced by Bohr, Mottelson and Rainwater, together with the Mayer-Jensen shell model, have provided the central framework for the development of nuclear physics. This paper reviews the microscopic evolution of the collective models and their underlying foundations. In particular, it is shown that the Bohr-Mottelson models have expressions as macroscopic limits of microscopic models that have precisely-defined expressions in many-nucleon quantum mechanics. Understanding collective models in this way is especially useful because it enables the analysis of nuclear properties in terms of them to be revisited and reassessed in the light of their microscopic foundations.

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Section: B Comparison Of Symplectic and Crv Model Resultsmentioning

confidence: 57%

Section: A the Coupled Rotor-vibrator Modelmentioning

confidence: 99%

The many-nucleon theory of nuclear collective structure and its macroscopic limits: an algebraic perspective

2016

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“…In short, this solves the long-standing conumdrum of our not being able to account for experimentally measured B(E2) transition strengths, especially between low-lying bound states, without introducing the notion of effective charges. And as we are now learning, it should also not come as a surprise that this also helps to fix a number of other features as well, like proffer realistic values for nuclear radii, and in the specific case of 12 C give a truly microscopic description of the Hoyle state.…”

Section: Sp(3r) As the Dynamical Symmetry Of The 3d-homentioning

confidence: 94%

“…For completeness, and in special appreciation for recommendations from the (anonymous) referee of this article, I am including a short list of four of David's most pedagogical and significant single-author publications over the period of 1985-2017, see: [10][11][12][13]. The last of these, which can be downloaded from the archives (arXiv:1710.04150v1 [nucl-th] 11 Oct 2017), is highly recommended as a comprehensive review of David's life-long work that far exceeds what I have chosen to include in this short, but sincere tribute to David J. Rowe.…”

Section: Revisiting the 'Mentors Matter' Landscapementioning

confidence: 99%

“…To reiterate an important message, called out in the previous section, we note again that all of this seems to call for the implementation of AI methodologies to help automate and regulate the explosive growth challenge of shell-model spaces -that has to date plagued any and all attempts to carry out realistic, nocore/open-core shell model calculations using ab initio input for obtaining a deeper understanding of the structure of atomic nuclei. Notwithstanding any and all of the above, let me also emphasize that to the credit of many, especially the work of Phil Elliott [5], with follow-on efforts of the R&R team [7,8], and as well David Rowe himself [10][11][12][13], plus a helpful hand from members of the original NCSM team [18], I respectfully suggest that little if any of the above considerations would be in play today.…”

Section: Embedding Sp(3r) In the Symmetry Adapted Ncsmmentioning

confidence: 99%

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Mentors Matter: A Tribute to David J. Rowe

Draayer¹

2022

Bulg.J.Phys.

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The role David Rowe played in advancing our understanding of nuclear structure has been pivotal to modernizing the theory into one that does not require the use of an effective charge concept, and one that is extensible across the chart of the nuclides. We briefly review how this flows from the early history of the field, focusing especially on David's role in helping to bridge the divide between single-particle models and collective models of nuclear structure, and how this has led to the development of a beautiful and bold algebraic framework that underpins a theory of choice for future nuclear structure studies. Looking forward, David Rowe's work also underpins current follow-on efforts focused on paving the way for the construction of yet another bridge, one that should help to span the chasm between low-energy and high-energy nuclear physics. If successful, the latter could ultimately lead to a truly ab initio framework for gaining a far broader understanding of nuclear structure, one that tracks forward from the fundamental structure of hadrons, especially protons and neutrons, and how they in turn conspire to give us atomic nuclei that in reality are the building blocks of the universe in which we live.

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Symmetry-guided large-scale shell-model theory

Launey

Dytrych

Draayer

2016

Progress in Particle and Nuclear Physics

122

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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The fundamental role of symmetry in nuclear models

Cited by 17 publications

References 44 publications

The many-nucleon theory of nuclear collective structure and its macroscopic limits: an algebraic perspective

The many-nucleon theory of nuclear collective structure and its macroscopic limits: an algebraic perspective

Mentors Matter: A Tribute to David J. Rowe

Symmetry-guided large-scale shell-model theory

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