Density-Matrix Expansion for an Effective Nuclear Hamiltonian

Negele, John W.; Vautherin, D.

doi:10.1103/physrevc.5.1472

Cited by 640 publications

(589 citation statements)

References 17 publications

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“…spin-orbit splitting going from 34 Si to 42 Si (that is, filling the 1f 7/2 neutron orbital) is attributed to the effect of a tensor force. This is clear in the nonrelativistic approach but the authors also compare with the RHF case (cf.…”

Section: Results For the Medium-mass Regionmentioning

confidence: 99%

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Tensor interaction in mean-field and density functional theory approaches to nuclear structure

Sagawa

Colò

2014

Progress in Particle and Nuclear Physics

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The importance of the tensor force for nuclear structure has been recognized long ago. Recently, the interest for this topic has been revived by the study of the evolution of nuclear properties far from the stability line. However, in the context of the effective theories that describe medium-heavy nuclei, the role of the tensor force is still debated. This review focuses on ground-state properties like masses and deformation, on single-particle states, and on excited vibrational and rotational modes. The goal is to assess which properties, if any, can bring clear signatures of the tensor force within the mean-field or density functional theory framework. It will be concluded that, while evidences for a clear neutron-proton tensor force exist despite quantitative uncertainties, the role of the tensor force among equal particles is less well established.

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Section: Results For the Medium-mass Regionmentioning

confidence: 99%

“…In the spirit of the density matrix expansion theory by J.W. Negele and D. Vautherin [34], one can look at the expectation value 1 2 ij ij|V |ij of the tensor interaction of Eq. (24).…”

Section: From Bare Tensor To Skyrme Tensormentioning

confidence: 99%

Tensor interaction in mean-field and density functional theory approaches to nuclear structure

Sagawa

Colò

2014

Progress in Particle and Nuclear Physics

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“…Its structure can be deduced from general arguments of low-momentum expansion [104,105] while the remaining model parameters are determined by adjustment to empirical data, for reviews see [106,107]. Strategies for such adjustment have much developed over the decades.…”

Section: Brief Review Of χ 2 Analysismentioning

confidence: 99%

Fission barriers and probabilities of spontaneous fission for elements with Z≥ 100

et al. 2015

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This is a short review of methods and results of calculations of fission barriers and fission halflives of even-even superheavy nuclei. An approvable agreement of the following approaches is shown and discussed: The macroscopic-microscopic approach based on the stratagem of the shell correction to the liquid drop model and a vantage point of microscopic energy density functionals of Skyrme and Gogny type selfconsistently calculated within Hartree-Fock-Bogoliubov method. Mass parameters are calculated in the Hartree-Fock-Bogoliubov cranking approximation. A short part of the paper is devoted to the nuclear fission dynamics. We also discuss the predictive power of Skyrme functionals applied to key properties of the fission path of 266 Hs. It applies the standard techniques of error estimates in the framework of a χ 2 analysis.

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“…(26) and (28)) can be determined from ChPT calculations for inhomogeneous nuclear matter. The density-matrix expansion method [43] is used to derive the in-medium insertion in the nucleon propagator, as shown in Refs. [14,17].…”

Section: The Coefficient D (π)mentioning

confidence: 99%

Relativistic nuclear energy density functional constrained by low-energy QCD

et al. 2006

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A relativistic nuclear energy density functional is developed, guided by two important features that establish connections with chiral dynamics and the symmetry breaking pattern of low-energy QCD: a) strong scalar and vector fields related to inmedium changes of QCD vacuum condensates; b) the long-and intermediate-range interactions generated by one-and two-pion exchange, derived from in-medium chiral perturbation theory, with explicit inclusion of ∆(1232) excitations. Applications are presented for binding energies, radii of proton and neutron distributions and other observables over a wide range of spherical and deformed nuclei from 16 O to 210 P o. Isotopic chains of Sn and P b nuclei are studied as test cases for the isospin dependence of the underlying interactions. The results are at the same level of quantitative comparison with data as the best phenomenological relativistic mean-field models.

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Density-Matrix Expansion for an Effective Nuclear Hamiltonian

Cited by 640 publications

References 17 publications

Tensor interaction in mean-field and density functional theory approaches to nuclear structure

Tensor interaction in mean-field and density functional theory approaches to nuclear structure

Fission barriers and probabilities of spontaneous fission for elements with Z≥ 100

Relativistic nuclear energy density functional constrained by low-energy QCD

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