Variational calculation of the ground state of closed-shell nuclei up to 
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Lonardoni, Diego; Lovato, Alessandro; Pieper, Steven C.; Wiringa, R. B.

doi:10.1103/physrevc.96.024326

Cited by 80 publications

(143 citation statements)

References 81 publications

(282 reference statements)

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“…7). Similar observations can be made about intermediate-mass nuclei: While the traditional approach fails badly in the intermediate-mass region [112], chiral EFT based two-and three-body forces generate excellent predictions [161,205,206,207,208,209,219] (fig. 21).…”

Section: Discussionsupporting

confidence: 68%

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Can chiral EFT give us satisfaction?

Machleidt

Sammarruca

2020

Eur. Phys. J. A

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We compare nuclear forces derived from chiral effective field theory (EFT) with those obtained from traditional (phenomenological and meson) models. By means of a careful analysis of paralleles and differences, we show that chiral EFT is superior to all earlier approaches in terms of both formal aspects and successful applications in ab initio calculations. However, in spite of the considerable progress made possible by chiral EFT, complete satisfaction cannot be claimed until outstanding problems-the renormalization issue being the most important one-are finally settled.

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Section: Discussionsupporting

confidence: 68%

“…This has become known as the Illinois 3NFs [106], which so far have evolved up to Illinois-7 (IL7) [108]. [112]. The AV18 2NF plus IL7 3NF yield a pathological equation of state of pure neutron matter [113].…”

Section: A V 2pwmentioning

confidence: 99%

Can chiral EFT give us satisfaction?

Machleidt

Sammarruca

2020

Eur. Phys. J. A

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“…More sophisticated trial wave functions can be constructed by explicitly accounting for spin-orbit correlations, as, for instance, in the cluster variational Monte Carlo calculations of Ref. [102]. However, the computational cost of these additional terms is significant, while the the gain in the variational energy is relatively small [103].…”

Section: Variational Monte Carlomentioning

confidence: 99%

Atomic Nuclei From Quantum Monte Carlo Calculations With Chiral EFT Interactions

et al. 2020

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Quantum Monte Carlo methods are powerful numerical tools to accurately solve the Schrödinger equation for nuclear systems, a necessary step to describe the structure and reactions of nuclei and nucleonic matter starting from realistic interactions and currents. These ab-initio methods have been used to accurately compute properties of light nuclei -including their spectra, moments, and transitions -and the equation of state of neutron and nuclear matter. In this work we review selected results obtained by combining quantum Monte Carlo methods and recent Hamiltonians constructed within chiral effective field theory. Keywords: Quantum Monte Carlo methods, variational Monte Carlo, Green's function Monte Carlo, auxiliary field diffusion Monte Carlo, chiral effective field theory, nuclear Hamiltonians, nuclear structure 1 arXiv:2001.01374v1 [nucl-th] 6 Jan 2020 Gandolfi et al.Atomic nuclei from QMC calculations with χEFT interactions potentials that are consistent with the symmetries of QCD. The solution of nuclear many-body problems requires two main ingredients: an Hamiltonian that accurately models the interactions among the nucleons, and reliable numerical many-body methods to solve the corresponding Schrödinger equation.Microscopic nuclear Hamiltonians, capable of reproducing nucleon-nucleon scattering data and the properties of few-body systems, have been successfully used to describe light nuclei. For example the highly-realistic Argonne v 18 two-body potential [3] combined with the phenomenological Illinois-7 three-body force have been employed to predict several properties of nuclei up to A = 12 with great accuracy [4]. Several calculations of energies, rms radii, transitions, and densities turn out to be in excellent agreement with experimental data. The main limitation of these phenomenological Hamiltonians is that it is not clear how they can be systematically improved, and how to quantify theoretical, i.e., systematic, uncertainties related to the specific interaction model. Another approach that became very popular in the last two decades consist in deriving nuclear interactions within the framework of chiral Effective Field Theory (χEFT). The advantage of this approach is that it provides the necessary tools to systematically improve the interaction models, to estimate uncertainties related to the truncation of the chiral expansion, and to consistently derive electroweak currents. Frontiers

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“…The results indicate that the correlation functions should be different in each order of the power series expansion in TOAMD. In a recent publication, there are more VMC results with AV18 and threebody interactions for 4 He, 16 O and 40 Ca using the sophisticated Jastrow correlation method [26]. It is interesting to apply the TOAMD method to these cases.…”

Section: Discussionmentioning

confidence: 99%

Power series expansion method in tensor-optimized antisymmetrized molecular dynamics beyond the Jastrow correlation method

et al. 2017

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We developed a new variational method for tensor-optimized antisymmetrized molecular dynamics (TOAMD) for nuclei. In TOAMD, the correlation functions for the tensor force and the short-range repulsion are introduced and used in the power series form of the wave function, which is different from the Jastrow method. Here, nucleon pairs are correlated in multi-steps with different forms, while they are correlated only once including all pairs in the Jastrow correlation method. Each correlation function in every term is independently optimized in the variation of total energy in TOAMD. For s-shell nuclei using the nucleon-nucleon interaction, the energies in TOAMD are better than those in the variational Monte Carlo method with the Jastrow correlation function. This means that the power series expansion using the correlation functions in TOAMD describes the nuclei better than the Jastrow correlation method.

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Variational calculation of the ground state of closed-shell nuclei up to A=40

Cited by 80 publications

References 81 publications

Can chiral EFT give us satisfaction?

Can chiral EFT give us satisfaction?

Atomic Nuclei From Quantum Monte Carlo Calculations With Chiral EFT Interactions

Power series expansion method in tensor-optimized antisymmetrized molecular dynamics beyond the Jastrow correlation method

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