One-body properties of nuclear matter with off-shell propagation

Božek, Piotr

doi:10.1103/physrevc.65.054306

Cited by 42 publications

(5 citation statements)

References 30 publications

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“…The total effective mass at the Fermi momentum, when dispersive effects are included, turns out to be close to 1 in the density range where neutron matter is expected to be a superfluid. These effects have been studied by several authors, both using the more general equation ( 100) and the pole approximation [202][203][204][205][206] of equation (102). The reduction of the gap looks to be moderate, approximately 20-30%.…”

Section: Superfluiditymentioning

confidence: 99%

Properties of the nuclear medium

2012

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Abstract. We review our knowledge on the properties of the nuclear medium that have been studied, along many years, on the basis of many-body theory, laboratory experiments and astrophysical observations. Throughout the presentation particular emphasis is put on the possible relationship and links between the nuclear medium and the structure of nuclei, including the limitations of such an approach. First we consider the realm of phenomenological laboratory data and astrophysical observations and the hints they can give on the characteristics that the nuclear medium should possess. The analysis is based on phenomenological models, that however have a strong basis on physical intuition and an impressive success. More microscopic models are also considered, and it is shown that they are able to give invaluable information on the nuclear medium, in particular on its Equation of State. The interplay between laboratory experiments and astrophysical observations are particularly stressed, and it is shown how their complementarity enriches enormously our insights into the structure of the nuclear medium. We then introduce the nucleon-nucleon interaction and the microscopic many-body theory of nuclear matter, with a critical discussion about the different approaches and their results. The Landau Fermi Liquid theory is introduced and briefly discussed, and it is shown how fruitful it can be in discussing the macroscopic and low energy properties of the nuclear medium. As illustrative example, we discuss neutron matter at very low density, and it is shown how it can be treated within the many-body theory. The general bulk properties of the nuclear medium are reviewed to indicate at which stage of our knowledge we stand, taking into account the most recent developments both in theory and experiments. A section is dedicated to the pairing problem. The connection with nuclear structure is then discussed, on the basis of the Energy Density Functional method. The possibility to link the physics of exotic nuclei and the astrophysics of neutron stars is particularly stressed. Finally we discuss the thermal properties of the nuclear medium, in particular the liquid-gas phase transition and its connection with the phenomenology on heavy ion reactions and the cooling evolution of neutron stars. The presentation has been taken for non-specialists and possibly for non-nuclear physicists.

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Section: Superfluiditymentioning

confidence: 99%

Properties of the nuclear medium

2012

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“…A more systematic study of symmetric nuclear should be useful, which goes beyond the present model and treats the propagation of hole-hole scattering terms in a nonperturbative way [15][16][17][18]25].…”

Section: Resultsmentioning

confidence: 99%

“…An extension of the BHF approximation, which obeys this symmetry, is the self-consistent Green's function (SCGF) method using the so-called -matrix approximation. During the last years techniques have been developed, which allow to evaluate the solution of the SCGF equations for microscopic NN interactions [15][16][17][18]. Those calculations demonstrate that for the case of realistic NN interactions, the contribution of particleparticle ladders dominates the contribution of corresponding hole-hole propagation terms.…”

Section: Self-consistent Green's Functionmentioning

confidence: 99%

Self-Consistent Green Function Method in Nuclear Matter

Hassaneen

2013

Physics Research International

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Symmetric nuclear matter is studied within the Brueckner-Hartree-Fock (BHF) approach and is extending to the self-consistent Green's function (SCGF) approach. Both approximations are based on realistic nucleon-nucleon interaction; that is, CD-Bonn potential is chosen. The single-particle energy and the equation of state (EOS) are studied. The Fermi energy at the saturation point fulfills the Hugenholtz-Van Hove theorem. In comparison to the BHF approach, the binding energy is reduced and the EOS is stiffer. Both the SCGF and BHF approaches do not reproduce the correct saturation point. A simple contact interaction should be added to SCGF and BHF approaches to reproduce the empirical saturation point.

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“…For these new experimental discoveries, theorists are trying to provide a self-consistent and reliable explanation. Various theoretical methods have been employed to calculate the nucleon-nucleon correlations in nuclear matter, such as the correlated basis functions [12][13][14], the quantum Monte Carlo method [15], the self-consistent Green's function (SCGF) [16][17][18][19][20], the in-medium T-matrix method [21][22][23], and the Brueckner-Hartree-Fock (BHF) method [24][25][26][27][28][29][30][31]. In particular, in Ref.…”

Section: Introductionmentioning

confidence: 99%

A local-density-approximation description of high-momentum tails in isospin asymmetric nuclei

Fan,

Yang,

Yin

et al. 2022

Preprint

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We adapt the local density approximation to add the high-momentum tails (HMTs) to finite nuclei's Slater-determinant momentum distributions. The HMTs are extracted by the extended Brueckner-Hartree-Fock (EBHF) method or by the lowest order cluster approximation. With a correction factor being added to EBHF, it is sufficiently in agreement with the experimental benchmark, i.e., the high-momentum N/Z ratios approximately equal to 1, and the low-momentum N/Z ratios approximately equal to N/Z of the systems. It is also found that the tensor force makes the nucleon-nucleon correlations appear more easily on the nuclear surface region and the percentage of high-momentum (p > 300 MeV/c) nucleons, around 17%-18%, independent of isospin asymmetry.

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One-body properties of nuclear matter with off-shell propagation

Cited by 42 publications

References 30 publications

Properties of the nuclear medium

Properties of the nuclear medium

Self-Consistent Green Function Method in Nuclear Matter

A local-density-approximation description of high-momentum tails in isospin asymmetric nuclei

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