Dynamics of the shell model

Mahaux, C.; Bortignon, P. F.; Broglia, R. A.; Dasso, C.H.

doi:10.1016/0370-1573(85)90100-0

Cited by 467 publications

(463 citation statements)

References 263 publications

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“…5.1 and 5.4. The 2p1h contribution to the real part of the self-energy can be calculated from the imaginary part W 2p1h using a dispersion relation [205] …”

Section: Depletion Due To Short-range and Tensor Correlationsmentioning

confidence: 99%

Self-consistent Green's function method for nuclei and nuclear matter

Dickhoff

Barbieri

2004

Progress in Particle and Nuclear Physics

494

599

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Recent results obtained by applying the method of self-consistent Green's functions to nuclei and nuclear matter are reviewed. Particular attention is given to the description of experimental data obtained from the (e,e ′ p) and (e,e ′ 2N) reactions that determine one and two-nucleon removal probabilities in nuclei since the corresponding amplitudes are directly related to the imaginary parts of the single-particle and two-particle propagators. For this reason and the fact that these amplitudes can now be calculated with the inclusion of all the relevant physical processes, it is useful to explore the efficacy of the method of self-consistent Green's functions in describing these experimental data. Results for both finite nuclei and nuclear matter are discussed with particular emphasis on clarifying the role of short-range correlations in determining various experimental quantities. The important role of long-range correlations in determining the structure of lowenergy correlations is also documented. For a complete understanding of nuclear phenomena it is therefore essential to include both types of physical correlations. We demonstrate that recent experimental results for these reactions combined with the reported theoretical calculations yield a very clear understanding of the properties of all protons in the nucleus. We propose that this knowledge of the properties of constituent fermions in a correlated many-body system is a unique feature of nuclear physics.

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“…5.1 and 5.4. The 2p1h contribution to the real part of the self-energy can be calculated from the imaginary part W 2p1h using a dispersion relation [205] …”

Section: Depletion Due To Short-range and Tensor Correlationsmentioning

confidence: 99%

Self-consistent Green's function method for nuclei and nuclear matter

Dickhoff

Barbieri

2004

Progress in Particle and Nuclear Physics

494

599

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“…These problems are still object of strong debates. Even when single-particle states are not broad or fragmented, and their energies are associated with single peaks, they are believed not to belong to the DFT framework and are known to be significantly affected by dynamical correlations such as those associated with particle-vibration coupling (PVC) [85]. The authors of Ref.…”

Section: Rhf and Single-particle 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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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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“…PACS : 21.65.Ef, 24.10.Lx, 25.75.-q Keywords: isospin and momentum dependent transport model; isospin particles; symmetry energy; effective mass splitting It has been well established the fact that the effective nucleon mass in nuclear matter or finite nuclei deviates from its vacuum value [1,2]. Moreover, a splitting of neutron and proton effective mass (here, the nonrelativistic mass (Landau mass) is concerned in accordance with the definition in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…It is found that the difference of the neutron and proton directed flows and the transverse momentum distribution of the neutron/proton ratio are sensitive to the stiffness of the symmetry energy, which can not be changed with the controversial effective mass splitting. The elliptic flows of free nucleons at high transverse momentum within mid-rapidity emission are a promising observable as distinguishing the nucleon effective mass splitting.PACS : 21.65.Ef, 24.10.Lx, 25.75.-q Keywords: isospin and momentum dependent transport model; isospin particles; symmetry energy; effective mass splitting It has been well established the fact that the effective nucleon mass in nuclear matter or finite nuclei deviates from its vacuum value [1,2]. Moreover, a splitting of neutron and proton effective mass (here, the nonrelativistic mass (Landau mass) is concerned in accordance with the definition in Ref.…”

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confidence: 99%

Effective mass splitting of neutron and proton and isospin emission in heavy-ion collisions

Feng

2012

Nuclear Physics A

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Within the framework of an isospin and momentum dependent transport model, the emissions of isospin particles (nucleons and light clusters) squeezed out in heavy-ion collisions are investigated as probes of the poorly known symmetry energy at high baryon density. Two different mass splittings of neutrons and protons in nuclear medium as m * n > m * p and m * n < m * p are used in the model and their influence on the isospin emission in heavy-ion collisions is discussed thoroughly.The competition between the stiffness and the momentum dependence of the symmetry potential on reaction dynamics are compared and systematically analyzed. It is found that the difference of the neutron and proton directed flows and the transverse momentum distribution of the neutron/proton ratio are sensitive to the stiffness of the symmetry energy, which can not be changed with the controversial effective mass splitting. The elliptic flows of free nucleons at high transverse momentum within mid-rapidity emission are a promising observable as distinguishing the nucleon effective mass splitting.PACS : 21.65.Ef, 24.10.Lx, 25.75.-q Keywords: isospin and momentum dependent transport model; isospin particles; symmetry energy; effective mass splitting It has been well established the fact that the effective nucleon mass in nuclear matter or finite nuclei deviates from its vacuum value [1,2]. Moreover, a splitting of neutron and proton effective mass (here, the nonrelativistic mass (Landau mass) is concerned in accordance with the definition in Ref.[3]) appears in neutron-rich matter, which increases with the isospin asymmetry.

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Dynamics of the shell model

Cited by 467 publications

References 263 publications

Self-consistent Green's function method for nuclei and nuclear matter

Self-consistent Green's function method for nuclei and nuclear matter

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

Effective mass splitting of neutron and proton and isospin emission in heavy-ion collisions

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