Coupled-cluster computations of atomic nuclei

Hagen, G.; Papenbrock, T.; Hjorth‐Jensen, M.; Dean, D. J.

doi:10.1088/0034-4885/77/9/096302

Cited by 517 publications

(726 citation statements)

References 311 publications

(625 reference statements)

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“…Similar conclusions can be drawn about the prediction of dominant quasiparticle peaks in the single particle spectrum, ε + k and ε − n . Varying both Ω HO = 20-24 MeV and λ SRG = 1.88-2.0 fm −1 , we found a maximum variation of 310 KeV for the neutron 1/2 − quasihole in 24 O. This corresponds to 2% of its value, ε − ν1/2 − = -14.22 MeV.…”

Section: Calculationsmentioning

confidence: 68%

“…6 and compare them to the Dyson-ADC(3) results where available. For the Dyson case, the NN+3N-induced Hamiltonian systematically under binds the full isotopic chain and predicts 28 O to be bound with respect to 24 O. This is fully corrected by including the original 3NF at leading order, which brings all results to about 3% form the experiment or closer.…”

Section: Results For Open Shellsmentioning

confidence: 99%

“…The fragments of the spectral distribution provide the excitation spectrum for the neighbouring odd-even isotopes. For example, the two dominant quasihole peaks in 24 O, in Fig. 2 with the ab initio configuration interaction (CI) calculations of Refs.…”

Section: Resultsmentioning

confidence: 99%

“…In general, we find values evenly spread between 70% and 90% of the independent particle model. The smaller values of SFs are obtained at low separation energies and involve transitions to/from 14,22,24 O. These isotopes present reduced particle-hole neutron gaps and therefore allow for stronger correlations at the Fermi surface.…”

Section: Dys-adc(3)mentioning

confidence: 96%

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Chiral three-nucleon forces and the evolution of correlations along the oxygen isotopic chain

2015

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Background: Three-nucleon forces (3NFs) have non trivial implications on the evolution of correlations at extreme proton-neutron asymmetries. Recent ab initio calculations show that leading order chiral interactions are crucial to obtain the correct binding energies and neutron driplines along the O, N, and F chains, Ref.[A. Cipollone, C. Barbieri, P. Navrátil, Phys. Rev. Lett 111, 062501 (2013)].Purpose: Here, we discuss the impact of 3NFs along the oxygen chain for other quantities of interest, such has the spectral distribution for attachment and removal of a nucleon, spectroscopic factors and radii. The objective is to better delineate the general effects of 3NFs on nuclear correlations. Methods:We employ self-consistent Green's function (SCGF) theory which allows a comprehensive calculation of the single particle spectral function. For the closed subshell isotopes, 14 O, 16 O, 22 O, 24 O and 28 O, we perform calculations with the Dyson-ADC(3) method which is fully non-perturbative and is the state of the art for both nuclear physic and quantum chemistry applications. The remaining open shell isotopes are studied using the newly developed Gorkov-SCGF formalism up to second order. Results:We produce complete plots for the spectral distributions. The spectroscopic factors for the dominant quasiparticle peaks are found to depend very little on the leading order (NNLO) chiral 3NFs. The latters have small impact on the calculated matter radii, which, however are consistently obtained smaller than experiment. Similarly, single particle spectra tend to be too spread with respect to the experiment. This effect might hinder, to some extent, the onset of correlations and screen the quenching of calculated spectroscopic factors. The most important effect of 3NFs is thus the fine tuning of the energies for the dominant quasiparticle states, which governs the shell evolution and the position of driplines.Conclusions: Although present chiral NNLO 3NFs interactions do reproduce the binding energies correctly in this mass region, the details of the nuclear spectral function remain at odd with the experiment showing too small radii and a too spread single particle spectrum, similar to what already pointed out for larger masses. This suggests a lack of repulsion in the present model of NN+3N interactions which is mildly apparent already for masses in the A=14-28 range.

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Section: Calculationsmentioning

confidence: 68%

Section: Results For Open Shellsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Dys-adc(3)mentioning

confidence: 96%

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Chiral three-nucleon forces and the evolution of correlations along the oxygen isotopic chain

2015

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“…Such models as the NCSM [1], the Coupled Cluster theory [2], the Green's Function Monte Carlo approach [3], etc. have had considerable success in describing the physical properties of such nuclei and even predicting the properties of nuclei in this mass region that have not yet been measured experimentally.…”

Section: Introductionmentioning

confidence: 99%

Microscopic Shell Model Calculations for sd-Shell Nuclei

Barrett

Dikmen

Maris

et al. 2017

Proceedings of the 14th International Symposium on Nuclei in the Cosmos (NIC2016)

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Several techniques now exist for performing detailed and accurate calculations of the structure of light nuclei, i.e., A ≤ 16. Going to heavier nuclei requires new techniques or extensions of old ones. One of these is the so-called No Core Shell Model (NCSM) with a Core approach, which involves an Okubo-Lee-Suzuki (OLS) transformation of a converged NCSM result into a single major shell, such as the sd-shell. The obtained effective two-body matrix elements can be separated into core and single-particle (s.p.) energies plus residual two-body interactions, which can be used for performing standard shell-model (SSM) calculations. As an example, an application of this procedure will be given for nuclei at the beginning of the sd-shell.

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Recent Progress in Few-Body Physics

Davoudi

2020

Springer Proceedings in Physics

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One of the key challenges in ab initio nuclear theory is to understand the emergence of nuclear structure from quantum chromodynamics. I will address this challenge and focus on the statistical aspects of uncertainty quantification and parameter estimation in chiral effective field theory. It is well-known that quantum chromodynamics (QCD) is non-perturbative in the low-energy region where atomic nuclei exist. This feature prevents us from direct application of perturbation theory. To make progress, two complementary approaches are presently employed; lattice QCD (LQCD) [1] and chiral effective field theory (χ EFT) [2]. The former amounts to numerical evaluation of the QCD path integral on a space-time lattice, while the latter is aimed at exploiting the decoupling principles of the renormalization group (RG) to systematically formulate a potential description of the nuclear interaction rooted in QCD. LQCD is a computationally expensive approach that requires at least exascale resources for a realistic analysis of multinucleon systems, and will most likely not be the most economical choice for analyzing nuclear systems. Nevertheless, in cases where numerically converged results can be obtained, LQCD offers a unique computational laboratory for theoretical studies of QCD in a low-energy setting [3]. The derivation of a nuclear potential in χ EFT proceeds via the construction of an effective Lagrangian consisting of pions, nucleons, sometimes also the Δ isobar, endowed with all possible interactions compatible with the symmetries of low-energy QCD. The details can be found in extensive reviews [4-6]. All short-distance physics, normally associated with quarks and gluons, reside beyond a hard momentum scale Λ b ∼ 1 GeV, that remains unresolved in χ EFT. Such high-momentum dynamics is instead encoded in a set of low-energy constants (LECs) that must be determined from experimental data, or in a future scenario hopefully computed directly from LQCD. χ EFT is the theoretical framework to calculate observables in an expan

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Coupled-cluster computations of atomic nuclei

Cited by 517 publications

References 311 publications

Chiral three-nucleon forces and the evolution of correlations along the oxygen isotopic chain

Chiral three-nucleon forces and the evolution of correlations along the oxygen isotopic chain

Microscopic Shell Model Calculations for sd-Shell Nuclei

Recent Progress in Few-Body Physics

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