Microscopic analysis of collective dynamics in low energy fission

Berger, J. F.; Girod, M.; Gogny, D.

doi:10.1016/0375-9474(84)90240-9

Cited by 572 publications

(507 citation statements)

References 15 publications

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“…The strength is adjusted so that the volume integral is the same as that of AV8' [46]. The other (central and spin-orbit terms) of the new force introduced in [45] are the same as in D1S [47] but their strengths have been refitted and the new force is called GT2. This force has been constructed with the goal of including the specific attraction between protons and neutrons respectively in the j < and j > (or j > and j > ) orbits, that we will discuss in detail in 3.2 below.…”

Section: Gogny Plus Tensormentioning

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: Gogny Plus Tensormentioning

confidence: 99%

“…In this work, selfconsistent RPA calculations have been performed. A tensor force of the type (49) has been added to the forces D1S [47] and D1M [60]. In both cases, the parameter b of Eq.…”

Section: Vibrational Statesmentioning

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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“…We compare predictions of the RHB calculations for the total binding energies, charge radii and ground-states quadrupole deformations of nine even-Z isotopic chains with available data. The FKVW effective interaction is used in the particle-hole channel, and pairing correlations are described by the pairing part of the finite range Gogny D1S interaction [55].…”

Section: Deformed Nucleimentioning

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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“…In the present work, the self-consistent CHF(B) equation is solved using three dimensional harmonic oscillator basis with the Gogny D1S interaction [22,23,24,25,26,27]. The…”

Section: Theoretical Methodsmentioning

confidence: 99%

Characteristic feature of self-consistent mean-field in level crossing region

GUO

2004

Nuclear Physics A

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A shape change of the self-consistent mean-field induced by a configuration change is discussed within the conventional constrained Hartree-Fock (CHF) theory. It is stressed that a single-particle level crossing dynamics should be treated carefully, because the shape of the mean-field in such a finite many-body system as the nucleus strongly changes depending on its configuration. This situation is clearly shown by applying an adiabatic assumption, where the most energetically favorable single-particle states are assumed to be occupied. The excited HF states and the continuouslyconnected potential energy curves are given by applying the configuration dictated CHF method.The effect of pairing correlation is discussed in the level crossing region. Triaxial deformed results in our Hartree-Fock-Bogoliubov (HFB) calculation with Gogny force nicely reproduce the available experimental data of Ge isotopes. From our numerical calculation, it is concluded that the CHFB state is more fragile than the CHF state in the level crossing region.

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Microscopic analysis of collective dynamics in low energy fission

Cited by 572 publications

References 15 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

Relativistic nuclear energy density functional constrained by low-energy QCD

Characteristic feature of self-consistent mean-field in level crossing region

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