Isotopic chains around oxygen from evolved chiral two- and three-nucleon interactions

Andrea Cipollone; Carlo Barbieri; Petr Navr\'atil

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Isotopic chains around oxygen from evolved chiral two- and three-nucleon interactions

Andrea Cipollone, Carlo Barbieri, Petr Navrátil

Nuclear Theory · Submitted 20 Mar 2013

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We find that these interactions reproduce the binding energies of nitrogen, oxygen and fluorine isotopes to great accuracy, providing clear indication of the predictive power of this approach.

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arXiv ID1303.4900 (version 2)

Pith IDIU2O3F2J, Pith's permanent record of this paper and its review

CitationAndrea Cipollone, Carlo Barbieri, Petr Navr\'atil. "Isotopic chains around oxygen from evolved chiral two- and three-nucleon interactions." arXiv:1303.4900 (2013). https://pith.science/paper/IU2O3F2J

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What the abstract itself states, as probabilities: claims first 0.92 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.17 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.66 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We extend the formalism of self-consistent Green's function theory to include three-body interactions and apply it to isotopic chains around oxygen for the first time. The third-order algebraic diagrammatic construction [ADC(3)] equations for two-body Hamiltonians can be exploited upon defining system-dependent one- and two-body interactions coming from the three-body force, and correspondingly dropping interaction reducible diagrams. This goes beyond the standard normal ordering truncations recently used in ab-inito studies. The Koltun sum rule for the total binding energy acquires a correction due to the added three-body interaction. This formalism is then applied to study chiral two-nucleon (2N) and three-nucleon forces (3NF) evolved to low momentum cutoffs. We find that these interactions reproduce the binding energies of nitrogen, oxygen and fluorine isotopes to great accuracy, providing clear indication of the predictive power of this approach. All three neutron driplines are correctly predicted when full 3NF are included. The formalism introduced also allows to calculate form factors for nucleon transfer on doubly magic systems.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We extend the formalism of self-consistent Green's function theory to include three-body interactions and apply it to isotopic chains around oxygen for the first time.	contribution 1.00	0.96	0.10	asserted 1.00
s1	The third-order algebraic diagrammatic construction [ADC(3)] equations for two-body Hamiltonians can be exploited upon defining system-dependent one- and two-body interactions coming from the three-body force, and correspondingly dropping interaction reducible diagrams.	method 0.95	0.25	0.04	asserted 0.95
s2	This goes beyond the standard normal ordering truncations recently used in ab-inito studies.	contribution 0.77	0.50	0.04	asserted 1.00
s3	The Koltun sum rule for the total binding energy acquires a correction due to the added three-body interaction.	method 0.63	0.60	0.04	asserted 1.00
s4	This formalism is then applied to study chiral two-nucleon (2N) and three-nucleon forces (3NF) evolved to low momentum cutoffs.	method 0.72	0.85	0.05	asserted 0.97
s5	We find that these interactions reproduce the binding energies of nitrogen, oxygen and fluorine isotopes to great accuracy, providing clear indication of the predictive power of this approach.	result 0.88	0.96	0.72	asserted 0.98
s6	All three neutron driplines are correctly predicted when full 3NF are included.	result 1.00	0.92	0.26	asserted 1.00
s7	The formalism introduced also allows to calculate form factors for nucleon transfer on doubly magic systems.	contribution 0.88	0.67	0.07	asserted 0.91

What kind of paper the classifier reports this is: method or tool 0.92 · evidence from simulation or computation 1.00.

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The paper

Original abstract

We extend the formalism of self-consistent Green's function theory to include three-body interactions and apply it to isotopic chains around oxygen for the first time. The third-order algebraic diagrammatic construction [ADC(3)] equations for two-body Hamiltonians can be exploited upon defining system-dependent one- and two-body interactions coming from the three-body force, and correspondingly dropping interaction reducible diagrams. This goes beyond the standard normal ordering truncations recently used in ab-inito studies. The Koltun sum rule for the total binding energy acquires a correction due to the added three-body interaction. This formalism is then applied to study chiral two-nucleon (2N) and three-nucleon forces (3NF) evolved to low momentum cutoffs. We find that these interactions reproduce the binding energies of nitrogen, oxygen and fluorine isotopes to great accuracy, providing clear indication of the predictive power of this approach. All three neutron driplines are correctly predicted when full 3NF are included. The formalism introduced also allows to calculate form factors for nucleon transfer on doubly magic systems.

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References

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Constraining three-nucleon forces in nuclear lattice effective field theory
nucl-th 2026-10 conditional novelty 6.0 of 10

A five-term short-range 3NF fitted in NLEFT reproduces A=3-40 binding energies to 2.2% RMSD and neutron-alpha finite-volume energies to about 0.2 MeV, with a residual 2P1/2 discrepancy.
Neutron matter from chiral effective field theory interactions
nucl-th 2013-04 conditional novelty 5.0 of 10

A complete next-to-next-to-next-to-leading-order chiral effective field theory calculation gives the neutron-matter energy per particle as 14 to 21 MeV at saturation density, with quantified uncertainties.

How later papers used it

70 later papers cite it

Evidence: substantial. 48 of the citing papers share no author with it, and 9 of those carry a confident label from Pith's citation classifier.

Pith read 15 of the 130 citing sentences, choosing only those whose citation markers point at this paper alone, and wrote the paraphrases from them. The summary, the counts, the evidence level, the links and the quotes come from code; the summary counts the papers listed below. A later paper is listed under a label when Pith's citation classifier gives one of its sentences that label at probability 0.8 or more (0.95 for support), Pith's reading finds that the citing paper itself did it, and a second check confirms the paraphrase against the sentence. This section lists uses only. It does not list criticism or disagreement, so their absence here says nothing about how the paper has been received. Papers that share an author with this one are listed apart, under "By the same authors". A quote is the citing authors' own sentence, shown when their paper's licence is CC BY, CC BY-SA or CC0. JSON

1 later paper by other authors is listed below: 1 compared its own results with it. 1 more paper by the same authors is listed: 1 used its method or tool.

Uses its method or tool 1 of 5 papers with this label · 1 by the same authors

By the same authors

Performed many-body calculations within the self-consistent Green's function approach in its closed-shell Dyson version to assess its quality in medium-mass nuclei.

Novel chiral Hamiltonian and observables in light and medium-mass nuclei (2019) (same authors) · 0.93 · paraphrased: the licence does not allow quoting

Compares with it 1 of 7 papers with this label

Pointed out that the ESPE in this paper, based on the formulation by another work, is consistent with the ESPE discussed in its article.

Evolution of shell structure in exotic nuclei (2018) · 0.99 · paraphrased: the licence does not allow quoting

How the literature uses it

17 arXiv papers cite this in 20 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 12 sentences without a confident label

Contests it 1 paper

However, this interaction yields radii which are too small [ref] , and increasingly severe overbinding for heavier nuclei [ref] .

Saturation with chiral interactions and consequences for finite nuclei · Introduction · contest 0.80

Compares with it 1 paper

Our ground-state energies show reasonable agreement with the other ab initio results from the same interaction [ref] .

Ground-state properties of doubly magic nuclei from the unitary-model-operator approach with the chiral two- and three-nucleon forces · Ground-state energies · 0.97

Cites it as support 2 papers

Recent results using 3NF show great promise in reproducing the physics of neutron driplines and truly open-shell systems, increasing the number of medium-mass nuclei accessible by ab initio methods from a few tens to a few hundreds [ref] .

New applications of renormalization group methods in nuclear physics · Other applications and future directions · 0.98
The 3N-force mechanism is dominated by the single-$Δ$ contribution (see the shaded areas in Fig. [ref]) and was recently confirmed in large-space calculations [ref] .

Three-nucleon forces and nuclei at the extremes · Three-nucleon forces and exotic nuclei · 0.99

Cites it as background 3 papers

The Self Consistent Green's Function (SCGF) approach is an ab initio method in which the optical potential and spectral functions are calculated covering the full spectra of both nucleon attachment and removal (i.e., both close and far form the Fermi surface) [ref] .

Inclusive electron-nucleus cross section within the Self Consistent Green's Function approach · Introduction · 0.83
We first consider ground-state energies in fluorine and neon isotopes, which have been explored with self-consistent Green's function calculations for particular isotopes [ref] and valence-space Hamiltonians from MBPT [ref] .

Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians · Introduction · 0.95
The most prominent examples of such methods are many-body perturbation theory (MBPT) [ref] , self-consistent Green's function (SCGF) theory [ref] , coupled-cluster (CC) theory [ref] and the in-medium similarity renormalization group (IMSRG) approach [ref] .

ADG: Automated generation and evaluation of many-body diagrams III. Bogoliubov in-medium similarity renormalization group formalism · Introduction · 0.94

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