Emergence of simple patterns in many-body systems: from macroscopic objects to the atomic nucleus

Ruiz, R. F. Garcia; Vernon, A. R.

doi:10.1140/epja/s10050-020-00134-8

Cited by 19 publications

(17 citation statements)

References 185 publications

(173 reference statements)

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“…N = 50 and N = 82 magic numbers [74]. Remarkably, the theoretical curves capture this basic feature, yielding radii that increase almost independently of Z beyond N = 28.…”

Section: Radiimentioning

confidence: 64%

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Moving away from singly-magic nuclei with Gorkov Green’s function theory

et al. 2021

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Ab initio calculations of bulk nuclear properties (ground-state energies, root mean square charge radii and charge density distributions) are presented for seven complete isotopic chains around calcium, from argon to chromium. Calculations are performed within the Gorkov self-consistent Green's function approach at second order and make use of two state-of-the-art two-plus three-nucleon Hamiltonians, N N +3N (lnl) and NNLOsat. An overall good agreement with available experimental data is found, in particular for differential energies (charge radii) when the former (latter) interaction is employed. Remarkably, neutron magic numbers N = 28, 32, 34 emerge and evolve following experimental trends. In contrast, pairing gaps are systematically underestimated. General features of the isotopic dependence of charge radii are also reproduced, as well as charge density distributions. A deterioration of the theoretical description is observed for certain nuclei and ascribed to the inefficient account of (static) quadrupole correlation in the present many-body truncation scheme. In order to resolve these limitations, we advocate the extension of the formalism towards incorporating breaking of rotational symmetry or, alternatively, performing a stochastic sampling of the self-energy.

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“…N = 50 and N = 82 magic numbers [74]. Remarkably, the theoretical curves capture this basic feature, yielding radii that increase almost independently of Z beyond N = 28.…”

Section: Radiimentioning

confidence: 64%

“…In the central region, the change 5 Notice that this differentiation also applies to odd-Z chains around calcium and extends up to iron, see Ref. [74]. in slope from argon to chromium is qualitatively reproduced.…”

Section: Radiimentioning

confidence: 77%

Moving away from singly-magic nuclei with Gorkov Green’s function theory

et al. 2021

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“…The most familiar are the kinks in charge radii at neutron numbers corresponding to shell closures and odd-even staggering (OES) in charge radii. In charge radii, a shell closure is observed as a sudden increase in the rate of the change of charge radius of the isotopes just beyond magic shell closure; this leads to the kinks in charge radii which are well known at N = 28, 50, 82 and 126 [2,11,15,23]. In addition, the analysis of experimental data presented 1 Note that the nodal structure of the wavefunctions plays an important role not only in the evolution of charge radii of spherical nuclei.…”

Section: Introductionmentioning

confidence: 84%

“…5 in Ref. [23] for evenand odd-Z isotopic chains and Figs. 12(a), 17(a), 19(a) and 25(a) below for only even-Z isotope chains).…”

Section: Introductionmentioning

confidence: 87%

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Charge radii in covariant density functional theory: a global view

Perera,

Afanasjev,

Ring

2021

Preprint

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A systematic global investigation of differential charge radii has been performed within the CDFT framework for the first time. Theoretical results obtained with conventional covariant energy density functionals and separable pairing interaction of Ref.[1] are compared with experimental differential charge radii in the regions of the nuclear chart in which available experimental data crosses neutron shell closures at N = 28, 50, 82 and 126. The analysis of absolute differential radii of different isotopic chains and their relative properties indicate clearly that such properties are reasonably well described in model calculations in the cases when the mean-field approximation is justified. However, while the observed clusterization of differential charge radii of different isotopic chains is well described above the N = 50 and N = 126 shell closures, it is more difficult to reproduce it above the N = 28 and N = 82 shell closures because of possible deficiencies in underlying single-particle structure. The impact of the latter has been evaluated for spherical shapes and it was shown that the relative energies of the single-particle states and the patterns of their occupation with increasing neutron number have an appreciable impact on the evolution of the δ r 2 N,N values. These factors also limit the predictive power of model calculations in the regions of high densities of the single-particle states of different origin. It is shown that the kinks in the charge radii at neutron shell closures are due to the underlying single-particle structure and due to weakening or collapse of pairing at these closures. The regions of the nuclear chart in which the correlations beyond mean-field are expected to have an impact on charge radii are indicated; the analysis shows that the assignment of a calculated excited prolate minimum to the experimental ground state allows to understand the trends of the evolution of differential charge radii with neutron number in many cases of shape coexistence even at the mean-field level. It is usually assumed that pairing is a dominant contributor to odd-even staggering (OES) in charge radii. Our analysis paints a more complicated picture. It suggests a new mechanism in which the fragmentation of the single-particle content of the ground state in odd-mass nuclei due to particle-vibration coupling provides a significant contribution to OES in charge radii.

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The Conceptual and Mathematical Foundations of the MC-QTAIM

Shahbazian

2024

Comprehensive Computational Chemistry

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Emergence of simple patterns in many-body systems: from macroscopic objects to the atomic nucleus

Cited by 19 publications

References 185 publications

Moving away from singly-magic nuclei with Gorkov Green’s function theory

Moving away from singly-magic nuclei with Gorkov Green’s function theory

Charge radii in covariant density functional theory: a global view

The Conceptual and Mathematical Foundations of the MC-QTAIM

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